Experiments
731 experiments · 731 complete
Foundations 13/13
01 First-Principles Capacity Computation 1774L 02 Non-Circular Temperature Extraction 876L 03 Capacity-Entropy Connection 876L 410 V2.410: Universality of α_s — Independent Lattice Verification 414L 414 V2.414: Ratio Universality — Is R = |δ|/(6α) Scheme-Independent? 294L 415 V2.415: Ratio Universality — Is R = |δ|/α Scheme-Independent? 339L 416 V2.416: α_s from Per-Channel Asymptotics 370L 417 V2.417: Ratio Universality Test — R = |δ|/α is NOT Scheme-Universal 426L 418 V2.418: Informed α Extraction — Fixing δ Does NOT Help 400L 419 V2.419: Scaling Function for α_s — From Numerics to Analytics 412L 420 V2.420: Per-Channel Scaling Function F(x) = n²·d²S_l for α_s 382L 421 V2.421: Per-Channel Scaling Function — F(x) is NOT Scheme-Universal 404L 424 V2.424: The Trace Anomaly Selects α_s — A Consistency Argument 447L
Slope Theorem 3/3
Metric Recovery 4/4
Field Equations 3/3
Discrete Emergence 4/4
Hardening & Validation 24/24
18 Lattice QFT Capacity Extraction 417L 19 Correct Quantum Fisher Information on Causal Sets 528L 20 Discrete Entanglement Entropy from SJ Vacuum 380L 21 V2.21: Large-N Slope Law Convergence with Correct QFI — Report 626L 22 V2.22: Background Independence Audit — Report 458L 23 V2.23: Central Charge Convergence to Large N — Report 235L 24 V2.24: Interacting Field Feasibility — Report 842L 25 V2.25: Quantum Corrections from Capacity — Report 2152L 26 V2.26: 2+1D Discrete Pipeline — Report 3090L 27 V2.27: Black Hole Information from Capacity Channels — Report 2558L 28 V2.28: Falsifiable Predictions from the Capacity Framework — Report 1315L 29 V2.29: Cross-Dimensional Consistency of Capacity Predictions 455L 30 V2.30: Entropy Extraction Method Robustness 403L 31 V2.31: Finite-Size Scaling & Continuum Extrapolation 370L 32 V2.32: Modified Dispersion Relation from Finite Encoding Time — Report 1029L 33 V2.33: Universality of Quantum Corrections & Unified G_eff 899L 34 V2.34: Background-Independent SJ Construction via Benincasa-Dowker d'Alembertian 1106L 35 V2.35: 3+1D Discrete Capacity Pipeline 1007L 176 V2.176: Route Uniqueness — Why the Clausius Derivation of Λ Is Not One of Many 1185L 177 V2.177: The Graviton Hilbert Space from Cosmological Data 1005L 178 V2.178: The Interaction Correction Budget 940L 179 V2.179: The Clausius Verification — Does the First Law Demand Λ = |δ|/(6α)? 763L 180 V2.180: The Falsifiability Gauntlet — Can We Kill This Theory? 835L 434 V2.434: Mass Decoupling of R — Does the Prediction Survive Heavy Fields? 503L
Deep Numerical Tests 22/22
36 V2.36: Resolving the Firewall Problem via Channel Degradability — Report 1434L 37 V2.37: Quantitative BEC Analog Gravity Predictions — Report 1674L 38 V2.38: Exact Bekenstein-Hawking Coefficient S = A/(4G) — Report 1250L 39 V2.39: The Hierarchy Problem — Why Gravity Is Weak — Report 1311L 40 V2.40: The Cosmological Constant Problem — Report 1371L 41 V2.41: Integrated Convergence Pipeline — Report 1645L 42 V2.42: Forward Jacobson Derivation — Report 1020L 43 V2.43: Sparse BD d'Alembertian + Background-Free Pipeline — Report 828L 44 V2.44: Dynamical Causal Set Growth — Report 599L 45 V2.45: 3+1D Area-Law Derivation of G = 1/(4*alpha*c) — Report 920L 46 V2.46: Dimension-Dependent Coefficient and Updated Predictions — Report 1598L 47 V2.47: Convergence Comparison — Report 469L 48 V2.48: Sorkin-Yazdi Entropy Fix + Log S-A Fit — Report 595L 49 V2.49: Fix Discrete Entropy UV Divergence + BD Ricci Divergence 1591L 50 V2.50: Complete Pipeline — V2.19 Gamma* + Unruh T + Fixed-n Entropy + Calibrated BD 902L 51 V2.51b: KMS Temperature Extraction + Improved Entropy 698L 52 V2.52: Gamma* Fix + Pipeline Cleanup 1075L 53 V2.53: Non-Circular Temperature Derivation 1476L 54 V2.54: N-Convergence Analysis + De Sitter Curved Spacetime 1952L 55 V2.55: Improved Temperature Extraction + Entropy Diagnostic 2471L 266 V2.266: UV Sensitivity of the Cosmological Constant — Stencil Universality 604L 269 V2.269: Cubic Lattice Cross-Check — Independent Geometry Confirms α_s 653L
Cosmological Prediction 33/33
56 V2.56: Pointwise BD Calibration Fixes R_kk at Large N 2248L 57 V2.57: 4 Genuinely Independent Measurements — 4/4 at N=1000, N=3000, and N=5000 2723L 58 V2.58: Steinhauer Data Confrontation — Report 1562L 59 V2.59: Cosmological Constant from 3+1D Entanglement Entropy — Report 2760L 60 V2.60: Periodic BCs + Derivative Extraction — Report 904L 61 V2.61: Finite-Difference Delta Extraction — Report 1057L 62 V2.62: Route A Theoretical Derivation — Report 1085L 63 V2.63: Information-Theoretic Proof of Lambda — Report 1227L 64 V2.64: Bianchi Identity Proof — Closing the Gap — Report 2119L 65 V2.65: Cube vs Sphere Geometry Correction — Report 848L 66 V2.66: Cube Vertex Correction & Lambda_bare = 0 — Report 1635L 67 Confirming delta = -1/90 via Spherical Decomposition 1850L 68 De Sitter Self-Consistency Loop 1032L 69 Curvature-Corrected Delta/Alpha Extraction 523L 70 Standard Model Species Counting for Self-Consistency 661L 71 Dirac Fermion Alpha — Doublers, Convergence, and Physical R_SM 980L 72 Angular Cutoff Methodology — Global vs Proportional for All Species 602L 73 Delta Extraction with Global Cutoff 607L 74 V2.74: Area-Law Coefficient Convergence to C -> infinity 361L 75 V2.75: Mass Dependence of the Log Coefficient delta 379L 76 V2.76: Wilson Fermion Convergence & Scale-Dependent Self-Consistency 623L 87 Non-Equilibrium d_iS Correction to Lambda 1081L 88 V2.88: Graviton (Spin-2) Entanglement Entropy 928L 89 Self-Consistent Lambda from R(mu) Crossover 1312L 90 De Sitter Horizon Entanglement Entropy 1408L 91 RG Flow Beta Functions for Entropy Coefficients 1559L 92 Self-Consistency Factor Analysis 1078L 423 V2.423: Lambda Through Cosmic Phase Transitions 714L 426 V2.426: CMB Quadrupole Suppression from Horizon Entanglement 646L 431 V2.431: Hubble Tension Resolution from the Entanglement Framework 477L 432 V2.432: Neutrino Mass Constraint from Fixed Ω_Λ 701L 440 V2.440: Zero-Parameter H₀ — The Hubble Constant from SM Fields + BBN + Geometry 619L 456 V2.456: Bayesian Evidence — Savage-Dickey Density Ratio 424L
Thermodynamic Uniqueness 10/10
77 Non-Equilibrium Triple Coincidence (FRW/Vaidya) 11981L 78 Non-Equilibrium Triple Coincidence (Unified BH Framework) 7047L 79 Global Equilibrium Theorem (14-Parameter EFT Space) 5390L 80 Analytic Equilibrium Uniqueness Theorems 7832L 81 Self-Acceleration No-Go 7019L 82 DHOST Equilibrium, Relative Entropy, and Holographic Consistency 2227L 83 EFT Thermodynamic Prior 5470L 84 DHOST Stress Test 6279L 85 KMS Equilibrium from Adiabatic FRW 2547L 86 Holographic QNEC Bound 5297L
Closing the Lambda Gap 119/119
93 V2.93: Alpha Decoupling at Cosmological Mass-Radius 870L 94 V2.94: Omega_Lambda Correction to Self-Consistency 395L 95 V2.95: Non-Equilibrium First Law with Log-Corrected Entropy 806L 96 V2.96: Viscous Horizon Corrections 521L 97 V2.97: Scale-Dependent Lambda and w(z) Prediction 597L 98 V2.98: Complete Lambda Prediction — Synthesis of All Corrections 629L 99 V2.99: Analytic alpha(m) from Heat Kernel 1058L 100 V2.100: Goldilocks Alpha Interpretation 778L 101 V2.101: Symbolic Verification of the Self-Consistency Factor 2011L 102 V2.102: Corrected Graviton Entanglement Entropy 801L 103 V2.103: Graviton Alpha from Scalar Mode Decomposition 639L 104 V2.104: Dirac Area Coefficient via Alternative Regularizations 1371L 105 V2.105: The 4D Trace Anomaly Identity in de Sitter 1405L 106 V2.106: Closing the Lambda Gap — Systematic Uncertainties and Graviton Edge Modes 1379L 136 V2.136: Renyi Entanglement Entropy Spectrum 459L 157 V2.157: Direct 3D Lattice Verification of the Fermion Area-Law Coefficient 1061L 158 V2.158: Graviton DOF Counting and the Cosmological Constant 620L 159 V2.159: Field Content Sensitivity — Uniqueness of the Cosmological Constant Prediction 883L 160 V2.160: Mass Decoupling and the Running Cosmological Constant 1203L 161 V2.161: Precision Error Budget — Is the Ω_Λ Match Statistically Significant? 1308L 162 V2.162: Predicting Particle Content from the Cosmological Constant 796L 164 V2.164: The (a,c) Anomaly Decomposition — Why the Prediction Isn't Numerology 673L 166 V2.166: Deriving the Graviton DOF Count from Canonical Gravity and Edge Modes 985L 167 V2.167: The Complete Theoretical Error Budget 1156L 168 V2.168: Why Λ_bare = 0 — The Entanglement Equilibrium Argument 954L 169 V2.169: Is It Numerology? — Systematic Exclusion of Alternative Formulas 957L 181 V2.181: The Analytic Alpha Conjecture 846L 182 V2.182: The Spectral Proof — High-Precision Test of α_s = 1/(24√π) 686L 183 V2.183: The Rényi Spectrum — Multi-Order Verification 567L 184 V2.184: The Double Limit — Ultra-Precision α via (C,n)→(∞,∞) Extrapolation 660L 185 V2.185: The Precision Frontier — Pushing α to Its Limits 424L 187 V2.187: The Vacuum-Entanglement Identity — Spectral Proof that Λ_bare = 0 836L 188 V2.188: The Constraint Funnel — Physical Uniqueness of the Ω_Λ Formula 1022L 189 V2.189: Three Routes to f=6 — Independent Derivations of the Cosmological Constant 921L 190 V2.190: BSM Exclusions from the Cosmological Constant 773L 191 V2.191: The Complete QFT Landscape — How Unique Is the Standard Model's Cosmological Constant? 1250L 192 V2.192: Precision Delta Extraction — The Log-Coefficient Bottleneck 477L 194 V2.194: Fermion Entanglement Entropy — Lattice Verification Attempt and Analytic Resolution 617L 195 V2.195: Higher-Spin Entanglement Entropy on a Sphere 435L 196 V2.196: Regulator Independence of the EE Log Coefficient 556L 197 V2.197: Per-Channel Delta Spectrum 413L 198 V2.198: Richardson Extrapolation 358L 199 V2.199: C-Cutoff Convergence 343L 200 V2.200: Beyond Von Neumann — Renyi Entropy and Entanglement Capacity as Independent Cross-Checks of Omega_Lambda 635L 201 V2.201: Resolving the Graviton — Edge-Mode Counting and the Precision Frontier of Lambda 517L 202 V2.202: Monte Carlo Lambda — Full Uncertainty Quantification with Graviton Model Selection 684L 203 V2.203: The Conformal Mode — Settling n_eff = 9 vs 10 from First Principles 690L 204 V2.204: No Volume Law — Lambda_bare = 0 from Entanglement Structure 640L 205 V2.205: De Sitter Self-Consistency — Lambda Prediction Survives Its Own Curved Background 587L 206 V2.206: Coupled Fields and Anomaly Additivity — Do Interactions Shift Lambda? 687L 207 V2.207: The Spin-Dependent Anomaly Gap 649L 208 V2.208: Modified Friedmann Evolution — Full Cosmological History from Entanglement Entropy 868L 209 V2.209: Can Entanglement Dark Energy Cross the Phantom Divide? 905L 210 V2.210: Neutrino Mass and Nature from the Cosmological Constant 809L 211 V2.211: Zero-Parameter Cosmological Scorecard 809L 212 V2.212: Entanglement Entropy on S^3 856L 213 V2.213: Thermal Corrections to the Entanglement Self-Consistency Ratio 439L 218 V2.218: Graviton Trace Anomaly from the Lattice 609L 219 V2.219: Precision Test of the 50% Rule 309L 220 V2.220: Continuum Extrapolation of delta via Richardson Method 441L 221 V2.221: The Self-Consistent Cutoff — Mapping R(C) 369L 222 V2.222: BSM Constraints from the Cosmological Constant 427L 223 V2.223: Renyi Entropy Spectrum of the Entanglement Horizon 655L 224 V2.224: Mass Independence of the Log Coefficient 342L 225 V2.225: Angular Momentum Decomposition — Explaining the 50% Rule 364L 226 V2.226: Precision Monopole Test — The 50% Rule Is NOT Exactly 1/2 311L 227 V2.227: Entanglement Capacity — A Second Independent Observable 326L 229 V2.229: The Gauge-Fermion Core — Lambda Without the Graviton Ambiguity 598L 230 V2.230: The Entanglement Spectrum — Mode-by-Mode Origin of alpha_s 586L 231 V2.231: Analytic Scaling Function — Identifying f(x) to prove alpha_s = 1/(24*sqrt(pi)) 899L 232 V2.232: Dimensional Dependence of alpha_s — Does 1/(24*sqrt(pi)) Generalize? 665L 233 V2.233: Radial Entanglement Profile — Spatial Origin of the Cosmological Constant 785L 234 V2.234: The Boundary Mode Formula — Toward Proving alpha_s = 1/(24*sqrt(pi)) 772L 235 V2.235: Renyi Entropy Spectrum — The Cosmological Constant is Von Neumann Specific 714L 236 V2.236: The Continuum Limit — Why alpha_s Cannot Be Derived from Continuum Theory 684L 237 V2.237: The Entanglement First Law on the Lattice 469L 238 V2.238: Entanglement Entropy in the de Sitter Static Patch 717L 239 V2.239: Wilson Fermion Entanglement — Lattice Verification of alpha_Dirac 550L 240 V2.240: Precision R Ratio — Direct Lattice Verification of |delta|/(6*alpha) 665L 241 V2.241: Modular Thermality — Testing the Foundation of Jacobson's Derivation 414L 242 V2.242: Strong Subadditivity & Markov Gap — Quantum Information Foundation of Jacobson's Derivation 457L 243 V2.243: Mass Deformation & Entanglement RG Flow 432L 246 V2.246: Precision Trace Anomaly from Entanglement — Closing the Self-Consistency Loop 709L 247 V2.247: Renyi Spectrum of Lambda — von Neumann Uniquely Selects Omega_Lambda 420L 248 V2.248: Interaction Corrections to Entanglement Lambda — Are Free Fields Enough? 550L 271 V2.271: Spin Dependence of α — Centrifugal Shift Has No Effect 595L 283 V2.283: Functional Completeness of S(n) — The Hidden Perimeter Term 628L 286 V2.286: QNEC 4-Parameter Consistency — α Robust, δ Below Cutoff Oscillation 496L 287 V2.287: Spectral Measure Decomposition — What Determines α_s? 978L 288 V2.288: The Spectral Measure at the Entangling Surface 588L 289 V2.289: Per-Mode Entanglement-Energy Duality and QNEC Channel Anatomy 725L 290 V2.290: Heat Kernel Representation of α_s 776L 291 V2.291: Boundary Resolvent and Continued Fraction for α_s 1115L 292 V2.292: The Williamson Correction Factor 681L 293 V2.293: Golden Ratio Universality Test 478L 351 V2.351: Graviton Mode Counting from First Principles 647L 375 V2.375: The Gauge-Matter Barometer — Ω_Λ as a Measure of the SM Field Balance 544L 393 V2.393: First-Principles Graviton Entanglement Entropy on the Srednicki Lattice 586L 395 V2.395: Edge Mode Derivation — Why n_grav = 10 and n_vector = 2 973L 397 V2.397: Constrained Phase Space Entanglement — Edge Modes on the Lattice 785L 399 V2.399: Constrained Phase Space — Geometric vs Gauss Edge Modes on Lattice 701L 400 V2.400: Interaction Corrections to the Area Coefficient — Closing the 0.4σ Gap 657L 403 V2.403: Phase-Transition Invariance — Lambda Unchanged Through EW/QCD Transitions 805L 427 V2.427: Graviton Precision Prediction — Narrowing the Λ/Λ_obs Window 552L 433 V2.433: Edge Mode Area Law — Do Constraints Create Area-Law Edge Modes? 688L 437 V2.437: Full SM Spectrum Lattice R — End-to-End Verification 534L 450 V2.450: Graviton DOF from First Principles — Why n_grav = 10 994L 452 V2.452: Precision α_s — Is Ω_Λ = 149√π/384 Exact? 484L 458 V2.458: Spin-Dependent Area Coefficient — α is Universal Across Spins 515L 459 V2.459: Ratio Convergence — UV Protection of Ω_Λ 533L 460 V2.460: Spin-Dependent Area Coefficient — α Universal to <0.02% Across Spins 601L 554 V2.554: Quantitative Resolution of the Cosmological Constant Problem 931L 556 V2.556: Graviton Mode Count from the Cosmological Constant 797L 572 V2.572: Graviton Entanglement Anatomy — First-Principles Derivation of n_grav = 10 776L 597 V2.597: Precision Error Budget for the Ω_Λ Prediction 723L 609 V2.609: High-Precision α_s — Is It Exactly 1/(24√π)? 429L 627 V2.627: Interaction Correction to the Lambda Prediction 593L 686 V2.686: Running Cosmological Constant — The Entanglement Scale 541L 688 V2.688: Running Cosmological Constant — 1-Loop SM Correction to Λ(μ) 675L
Black Hole Entropy 19/19
107 Schwarzschild Lattice and Alpha Universality 932L 108 Entanglement Spectrum and Hawking Temperature 626L 109 The Page Curve from Lattice Entanglement 515L 110 SM Log Correction to Black Hole Entropy 591L 111 Universality of Delta Across Geometries 462L 112 Unification — Dark Energy and Black Holes from S = alpha*A + delta*ln(A) 518L 113 Scale-Matching Analysis of Hawking Temperature 657L 114 Systematic M -> 0 Delta Extrapolation 586L 348 V2.348: Black Hole Entropy Log Correction — The Quantum Gravity Fingerprint 838L 369 V2.369: Black Hole Remnant Mass from Entanglement Entropy 729L 404 V2.404: BH vs Cosmological Horizon — Log Coefficient Split 742L 405 V2.405: Geometry Independence of the Trace Anomaly — Lattice Verification 632L 448 V2.448: Joint Multi-Observable Constraint on Graviton Mode Count 539L 449 V2.449: BH Log Coefficient — Framework vs. Every QG Approach 592L 557 V2.557: BH Entropy Log Correction — Spin Independence and QG Discrimination 948L 628 V2.628: Black Hole Log Correction — Exact SM Prediction vs Competing Approaches 660L 632 V2.632: Lattice Verification of Weyl Correction to BH Log Coefficient 587L 635 V2.635: Kerr BH Log Correction — Topological Protection Against Spin 559L 638 V2.638: Schwarzschild-de Sitter Two-Horizon Interpolation 429L
BSM from Lambda 36/36
115 V2.115: BSM Spectroscopy from the Cosmological Constant 1246L 116 V2.116: The Spectral Proof — Mode-by-Mode Entanglement-Energy Identity 848L 117 V2.117: Mass Deformation Test — Robustness of α and the Λ Prediction 597L 118 V2.118: Direct R Convergence — Precision Test at Ultra-High Cutoff 617L 119 V2.119: The Double Limit — α(N,C) → α_∞ as N→∞, C→∞ 577L 120 V2.120: The Graviton Entanglement Fraction — Updated BSM Landscape 829L 121 V2.121: Lattice Verification of delta_vector and delta_graviton via d3S 457L 122 V2.122: 3D Lattice Test of α_Weyl/α_scalar = 2 569L 123 V2.123: Renyi Entropy Self-Consistency — Does R_n Depend on the Renyi Index? 391L 124 V2.124: The Spectrum Constraint — How Special is the SM for Λ? 504L 125 V2.125: The Generation Prediction — Why 3 Families from R = Ω_Λ 466L 126 V2.126: BSM Exclusion Bounds — What R = Ω_Λ Rules Out 423L 127 V2.127: Prediction Precision — Error Budget, H₀, and Falsification Tests 795L 128 V2.128: The Gauge-Fermion Miracle — Ω_Λ from Pure Gauge Dynamics 448L 129 V2.129: Graviton Self-Screening — Parameter-Free Λ from δ\_EE/δ\_EA 934L 130 V2.130: Mass Independence of δ — Proving w = −1 Exactly 623L 131 V2.131: The Double-Counting Proof — Vacuum Energy = Entanglement Entropy 373L 132 V2.132: Why N_c = 3 — The Cosmological Constant Selects QCD 430L 133 V2.133: The Three Numbers — SU(3) × SU(2) × U(1) Derived from Ω_Λ 515L 134 V2.134: Significance of the SM-Λ Prediction 520L 135 V2.135: Rigorous Statistical Assessment — Correcting the 5σ Claim 722L 137 V2.137: Black Hole Entropy Log Corrections — The Graviton Edge Mode Prediction 966L 138 V2.138: DESI Dark Energy Equation of State — Falsification Test 719L 139 V2.139: Hubble Tension Diagnostic — Entanglement Framework Prediction 430L 140 V2.140: Dark Matter Exclusion from the Entanglement Lambda Prediction 593L 141 V2.141: Effective Dark Energy Equation of State from Horizon Thermodynamics 761L 186 V2.186: The Gauge Theory Landscape — Can Ω_Λ Derive the Standard Model? 1359L 228 V2.228: The Standard Model from Lambda — Algebraic Proof of Uniqueness 1018L 245 V2.245: Entanglement Lambda as a BSM Particle Detector — Full Concordance Exclusions 897L 325 V2.325: Species-Dependence Curve & Black Hole Log Correction 911L 331 V2.331: Dark Matter Constraints from the Cosmological Constant 845L 356 V2.356: Neutrino Mass Constraints from Lambda 740L 384 V2.384: Dual (Λ, γ_BH) Particle Detector 877L 388 V2.388: Species-Dependence Falsification Map 933L 443 V2.443: Why Three Generations? — Ω_Λ Selects N_gen = 3 651L 446 V2.446: Species-Dependence Curve — Λ as a Dark Sector Detector 722L
Dynamical Selection 300/300
326 V2.326: Neutrino-Graviton Joint Constraint — Why N_ν = 3 704L 327 V2.327: Lambda Constancy Through Phase Transitions — Resolution of the Vacuum Energy Problem 735L 328 V2.328: Graviton Spectroscopy — Ω_Λ Measures the Graviton Mode Count 587L 329 V2.329: Lambda as a Topological Invariant — Mass Independence & Exclusion Map 861L 330 V2.330: Massive Scalar Delta — Does Mass Modify the Trace Anomaly? 538L 332 V2.332: Zero-Parameter Cosmological Concordance 618L 333 V2.333: Bayesian Model Selection — Framework vs LCDM 709L 334 V2.334: BH Thermodynamics Confrontation — Log Correction Consequences 797L 336 V2.336: SM Uniqueness from Omega_Lambda 655L 337 V2.337: Graviton Edge Mode Derivation — Why n_grav = 10 Closes the Lambda Gap 660L 338 V2.338: Information Content of the Cosmological Constant 609L 339 V2.339: Thermal Stability of R 537L 340 V2.340: Anomaly Cancellation x Lambda — Double Selection of the SM 586L 341 V2.341: Bayesian Model Comparison — Framework (0 params) vs ΛCDM (1 param) 738L 342 V2.342: Anomaly x Lambda Double Selection 557L 343 V2.343: Framework vs w0waCDM — The DESI Confrontation 637L 344 V2.344: Framework vs w₀wₐCDM — The DESI Confrontation 704L 345 V2.345: Lambda Through Cosmic Phase Transitions — The Thermal History Test 906L 346 V2.346: Species-Dependence Curve — The Framework's Unique Prediction 786L 347 V2.347: Lambda Through Cosmic Phase Transitions — Zero Fine-Tuning 917L 349 V2.349: CMB Quadrupole from Horizon Entanglement — A Smoking Gun Test 618L 350 V2.350: Graviton Precision Prediction — Pinning Lambda to a Single Number 697L 352 V2.352: Precision Omega_Lambda Error Budget — The Final Number 773L 353 V2.353: Multi-Observable Quantum Gravity Concordance 690L 354 V2.354: Cosmic Parameters from One Number — How the SM Determines the Expansion History 644L 355 V2.355: Hubble Tension Filter — What the Framework Says About H_0 816L 357 V2.357: The N_eff-Lambda Joint Constraint Curve 538L 358 V2.358: DESI Year 1 w0-wa Confrontation 675L 359 V2.359: UV vs IR Field Counting — Why the Full SM is Required 596L 360 V2.360: Graviton Mode Counting — Λ Prediction vs GW Propagation 700L 363 V2.363: Multi-Probe Zero-Parameter Concordance 634L 364 V2.364: Dark Energy Equation of State Confrontation 791L 367 V2.367: Phase Transition Invariance — Λ is a Topological Invariant 714L 370 V2.370: Joint N_eff–Ω_Λ Constraint from Entanglement Dark Energy 635L 381 V2.381: Framework vs Anthropic Landscape — Which Explanation of Ω_Λ Wins? 636L 383 V2.383: Graviton Mass from Lambda — Entanglement vs Massive Gravity 720L 386 V2.386: The Coincidence Problem Dissolved — Why Ω_Λ ≈ 0.7 Is Not Fine-Tuned 750L 389 V2.389: Species-Dependence Falsification Map — 5 Unique Testable Predictions 779L 390 V2.390: Entanglement Framework vs de Sitter Swampland 573L 392 V2.392: Edge Mode Selection — Why Spacetime Gauge ≠ Internal Gauge 661L 394 V2.394: Graviton Entanglement Lattice — SVT Decomposition Excludes TT-Only 668L 398 V2.398: Constrained Phase Space — First Lattice Edge Mode from Gauge Constraints 549L 401 V2.401: Species-Dependence Precision Curve 751L 402 V2.402: Phase-Transition Invariance of the Cosmological Constant 831L 406 V2.406: Correlated Lambda × gamma_BH Fingerprint 803L 407 V2.407: Gauge Group Selection from Lambda — How Special Is the Standard Model? 637L 408 V2.408: Correlated Λ × γ_BH Fingerprint — Two Predictions from One Input 651L 409 V2.409: Cosmological Parameters from Lambda — The Framework's H_0 Prediction 535L 413 V2.413: Full Cosmological Predictions — One Input, All Observables 498L 422 V2.422: Species-Dependence Curve — Λ/Λ_obs as a Function of Field Content 649L 425 V2.425: Graviton Precision Prediction — Narrowing the Λ/Λ_obs Window 531L 429 V2.429: Electroweak Phase Transition — Lambda Invariance 747L 430 V2.430: Joint Ω_Λ–N_eff Constraint — The Two-Observable Test 423L 435 V2.435: Falsification Roadmap — Joint Significance and Decision Timeline 706L 447 V2.447: Equation of State Test — w = -1 as a Theorem, Not an Assumption 895L 453 V2.453: Precision Concordance — 28 Predictions from Zero Parameters 681L 454 V2.454: DESI Covariance BAO Analysis + Falsification Forecast 768L 455 V2.455: BAO Cosmic Variance — Framework Survival Probability Under DESI 423L 461 V2.461: w₀-wₐ Survival Monte Carlo — 4.1σ Reduces to 2.7σ 485L 463 V2.463: Lambda Through the Electroweak Phase Transition 991L 464 V2.464: N_eff–Ω_Λ Joint Constraint — The Cross-Probe Prediction 997L 465 V2.465: Hubble Tension Resolution Filter 706L 466 V2.466: Framework vs Swampland de Sitter Conjecture 760L 467 V2.467: Neutrino Mass from Fixed Λ — Breaking the Degeneracy 782L 468 V2.468: GW Standard Siren Forecast 588L 469 V2.469: Neutrino Mass Ordering Forecast 546L 471 V2.471: Alpha Universality from Omega_Lambda 604L 472 V2.472: DESI BAO Bin-by-Bin Diagnostic 545L 473 V2.473: CMB Low-ℓ ISW Signature from Fixed Ω_Λ 607L 474 V2.474: Precision Species-Dependence Forecast 519L 475 V2.475: Theoretical Error Budget — How Precisely Does the Framework Predict Ω_Λ? 830L 476 V2.476: Graviton Mode Derivation — Why n=10 and Not n=2? 683L 477 V2.477: Quantitative Resolution of the Cosmological Constant Problem 721L 478 V2.478: Multi-Probe Graviton Spectroscopy 530L 479 V2.479: Theory Comparison Matrix 512L 480 V2.480: Falsification Decision Tree 470L 481 V2.481: Falsification Decision Tree — 7 Tests, P(survive)=93%, Decisive by 2029 668L 482 V2.482: Falsification Decision Tree 635L 483 V2.483: Correlated Survival Monte Carlo 555L 484 V2.484: Correlated Survival Monte Carlo — P(survive) = 99%, not 93% 717L 485 V2.485: Correlated Survival Monte Carlo 589L 486 V2.486: Comprehensive Zero-Parameter Concordance 537L 487 V2.487: Honest Zero-Parameter Concordance 555L 488 V2.488: Concordance Robustness — Sensitivity Analysis 448L 489 V2.489: Joint N_eff–Ω_Λ Exclusion Contour 705L 490 V2.490: DESI Dark Energy Deconstruction 632L 491 V2.491: Running Vacuum Confrontation — Framework (ν=0) vs Running Vacuum Model 749L 492 V2.492: Hubble Tension Resolution from Graviton Entanglement 632L 493 V2.493: Species-Dependence Curve — Lambda as a Particle Counter 785L 494 V2.494: Growth of Structure — μ=Σ=1 from Derived GR 683L 495 V2.495: Analog BH Log Correction — The Lab-Testable QG Distinguisher 604L 496 V2.496: Inflation from Entanglement — de Sitter as Graviton Self-Consistency 689L 497 V2.497: Neutrino Mass as S₈ Resolution — A Sharp Null Result 624L 498 V2.498: Dark Matter Identity from Dark Energy 575L 499 V2.499: Confinement Invariance — Lambda Cannot Tell Quarks from Hadrons 583L 500 V2.500: S₈ After Baryonic Feedback — The Framework's Last Escape Route Works 576L 501 V2.501: Overconstrained Zero-Parameter Concordance 736L 502 V2.502: Coincidence Problem Resolution — Why Ω_Λ/Ω_m ~ O(1) 765L 503 V2.503: EW Phase Transition Λ Invariance — Goldstone Theorem Protects R 793L 504 V2.504: Expansion History Multi-Probe Test 662L 505 V2.505: Particle Colliders as Dark Energy Experiments 725L 506 V2.506: DESI w₀wₐ Bayesian Model Selection — Framework vs CPL 885L 507 V2.507: Black Hole Log Correction as a Quantum Gravity Discriminator 1060L 508 V2.508: D=4 Dimensional Selection from the Entanglement Sign Rule 612L 509 V2.509: Hubble Tension — Framework's Sharp Prediction 714L 510 V2.510: CMB Low Quadrupole from Horizon Entanglement 816L 511 V2.511: The Cosmological Constant Problem Dissolved 650L 512 V2.512: Predictive Information Content 990L 513 V2.513: Lambda Invariance Through the Electroweak Phase Transition 952L 514 V2.514: Graviton Mass Bound from the Cosmological Constant 620L 515 V2.515: Joint N_eff–Lambda Exclusion Surface 848L 516 V2.516: Zero-Parameter Expansion History from Entanglement Entropy 777L 517 V2.517: Vacuum Energy vs Trace Anomaly — Why the Higgs Doesn't Ruin Λ 690L 518 V2.518: Structure Growth from Lambda — sigma_8, S_8, f*sigma_8 from Particle Physics 612L 519 V2.519: DESI Year 1 Confrontation — The Framework's Toughest Test 661L 521 V2.521: Next-Decade Falsification Forecast 797L 522 V2.522: Why Three Generations — The SM is Uniquely Selected by Ω_Λ 708L 523 V2.523: Landscape Scan — How Special is the SM's R = 0.6877? 696L 524 V2.524: Graviton Conformal Mode — Does it Contribute to Entanglement? 652L 525 V2.525: Bayesian Model Showdown — Framework vs ΛCDM vs w₀wₐCDM 918L 526 V2.526: Λ_bare Posterior — Does the Data Demand Λ_bare = 0? 633L 527 V2.527: Neutrino Mass Prediction from Lambda 687L 528 V2.528: CMB Tension Anatomy — Where Does the 0.44% Gap Live? 799L 529 V2.529: Species-Dependence Curve — The Framework's Most Powerful Unique Prediction 681L 530 V2.530: CMB Tension Anatomy — Which Observable Drives Ω_Λ? 638L 531 V2.531: Dual Observable QG Discriminator — Joint (Ω_Λ, γ_BH) Prediction 876L 532 V2.532: DESI BAO Anatomy — Does the Framework Explain the w≠-1 Anomaly? 746L 533 V2.533: Black Hole Entropy Log Correction Spectrum — Charge Dependence from SM Trace Anomaly 830L 534 V2.534: Phase Transition Lambda Tower — Why 10^55 Fine-Tuning Dissolves 873L 536 V2.536: Lambda Through Cosmic History — 120 Digits of Fine-Tuning Dissolved 725L 537 V2.537: Dark Energy Equation of State — Framework w=-1 vs DESI w₀wₐ 769L 538 V2.538: Species-Dependence Landscape — SM Uniquely Selected 676L 539 V2.539: Vacuum Energy Null Projection — Why ρ_vac Doesn't Source Λ 790L 540 V2.540: Bayesian Model Comparison — Framework vs ΛCDM 788L 543 V2.543: Electroweak Phase Transition Consistency Test 643L 550 V2.550: Dark Energy as a Universal Particle Detector 788L 551 V2.551: Grand Concordance — Combined Evidence Across All Cosmological Probes 634L 552 V2.552: Pre-Data Predictions — Falsifiable Predictions for DESI DR2, Euclid, CMB-S4, LSST 1070L 553 V2.553: Joint Lambda-BH Fingerprint — One Trace Anomaly, Two Predictions 869L 555 V2.555: Species-Dependence Curve — The Framework's Most Powerful Unique Prediction 988L 558 V2.558: The Hubble Tension as a Framework Prediction 727L 559 V2.559: Growth Rate Confrontation — Does fσ8(z) Confirm w = -1? 622L 560 V2.560: Cosmic Tension Anatomy — One Prediction vs Five Tensions 954L 561 V2.561: Neutrino Mass from the Cosmological Constant 675L 562 V2.562: Multi-Probe Bayesian Evidence Synthesis 801L 564 V2.564: Observable Consistency Web — 15 Predictions from One Number 987L 565 V2.565: BAO Tomographic Λ Reconstruction 515L 566 V2.566: EW/QCD Phase Transition Invariance of Λ 777L 567 V2.567: DESI Survival Monte Carlo — Framework Survives at 17% p-value 768L 568 V2.568: Growth Rate fσ8 — Structure Formation from Λ 663L 569 V2.569: BAO Survival Monte Carlo 568L 570 V2.570: Type Ia Supernovae Distance Modulus — The Original Dark Energy Probe 630L 571 V2.571: Pre-Registered Predictions for DESI DR3 and CMB-S4 1027L 573 V2.573: Lambda Through the Electroweak Phase Transition — The Fine-Tuning Thermometer 971L 574 V2.574: Cosmological Evidence for Quantum Gravity 639L 575 V2.575: CMB Power Spectrum — Zero-Parameter Confrontation with Planck 712L 576 V2.576: The Species-Dependence Atlas — Complete BSM Landscape for Ω_Λ 987L 577 V2.577: Joint Graviton Mode Count from All Cosmological Probes 645L 578 V2.578: CMB as Arbiter — Framework (w=-1) vs DESI Best-Fit (w₀wₐ) 592L 581 V2.581: Monte Carlo Coincidence Test — How Special Is the SM's Ω_Λ? 549L 582 V2.582: Coincidence Monte Carlo — Is the SM Match to Ω_Λ Special? 700L 583 V2.583: Generation Selection — The Cosmological Constant Predicts N_gen = 3 524L 584 V2.584: Physical Viability Filter — From 2.3σ to 2.6σ 486L 585 V2.585: Physical Viability Filter — SM Among Real Theories 768L 586 V2.586: Physical Viability Filter — SM is 1 of 3 Survivors Among 316 Viable Theories 573L 587 V2.587: Multi-Probe Joint Bayesian Evidence — CMB + BAO + SNe 664L 589 V2.589: Angular Anatomy of the Cosmological Constant 753L 590 V2.590: Phase Transition Invariance — The 55-Digit Problem Resolved 575L 591 V2.591: The N_eff–Ω_Λ Joint Prediction Plane 928L 592 V2.592: N_eff–Ω_Λ Joint Prediction Plane — Unique Falsifiable Test 616L 593 V2.593: BSM Joint Fingerprint — The (Ω_Λ, γ_BH) Prediction Plane 527L 594 V2.594: The Complete Prediction Scorecard — Framework vs. All Approaches 1104L 595 V2.595: The Decisive Test — Framework vs DESI w₀wₐ 645L 598 V2.598: No-Go Theorem — New Particles Cannot Resolve the Hubble Tension 585L 601 V2.601: Monte Carlo Survival Analysis — When Will We Know? 630L 603 V2.603: Inverse Cosmological Spectroscopy — Ω_Λ as a Particle Physics Observable 788L 604 V2.604: Omega_Lambda as a Particle Physics Observable — Inverse Cosmological Spectroscopy 500L 605 V2.605: H0 Prediction Confrontation with the Distance Ladder Landscape 541L 608 V2.608: EW Phase Transition — Lambda Invariance 880L 610 V2.610: Joint Species-Dependence + BH Log Correction — QG Fingerprint 1011L 611 V2.611: Pre-Registered Predictions for 2027–2035 940L 612 V2.612: CMB Quadrupole from Horizon Entanglement Spectrum 846L 613 V2.613: Neutrino Nature Prediction — Majorana vs Dirac 725L 614 V2.614: CMB Acoustic Scale Precision Test 696L 615 V2.615: Dark Energy Equation of State — DESI Y1 Confrontation 873L 616 V2.616: Next-Decade Decision Tree — When Will We Know? 865L 617 V2.617: Smoking Gun Joint Evidence 662L 619 V2.619: Graviton Mode Count Derivation — The α-δ Asymmetry 708L 620 V2.620: Cosmological Selection of the Standard Model — Why 3 Generations 643L 621 V2.621: Generation Selection from Lambda 692L 623 V2.623: EW Phase Transition Invariance — Ω_Λ Is the Same at Every Epoch 882L 624 V2.624: SM Uniqueness — Exhaustive Field Content Scan 594L 631 V2.631: Species-Dependence Atlas — The Framework's Unique Fingerprint 825L 633 V2.633: Per-Mode Dark Energy Structure and CMB Low-l Implications 674L 634 V2.634: Per-Particle Dark Energy Budget 516L 636 V2.636: Growth Rate f·σ₈(z) — Zero-Parameter Prediction vs DESI DR1 385L 637 V2.637: The QCD Sector as the Anchor of Dark Energy 519L 639 V2.639: Hubble Tension Anatomy — H₀ Diagnosis Within the Framework 567L 640 V2.640: SM Uniqueness from Omega_Lambda + Anomaly Cancellation 479L 641 V2.641: Lambda Counts Colors — Ω_Λ Determines N_c = 3 576L 642 V2.642: End-to-End Lattice Verification of R = 149√π/384 529L 643 V2.643: Phase Transition Invariance — Why Lambda Doesn't Jump 765L 645 V2.645: SM Uniqueness from the Full BSM Landscape 557L 646 V2.646: Precision Double-Limit R = 149sqrt(pi)/384 710L 647 V2.647: Equation of State from Entanglement — Why w = -1 is Exact 349L 648 V2.648: Delta Mass-Independence via Differential Method 456L 649 V2.649: Species-Dependence Curve — The Framework's Most Powerful Unique Prediction 907L 650 V2.650: Mass Invariance of the Trace Anomaly Delta 479L 651 V2.651: BH Entropy Log Correction Staircase — Mass-Dependent Species Activation 699L 652 V2.652: N_eff–Ω_Λ Falsification Corridor 816L 653 V2.653: Two Predictions, Zero Parameters — the (Ω_Λ, γ_BH) Overconstrained Test 1027L 654 V2.654: Bayesian BAO Model Comparison — Framework vs ΛCDM vs w₀waCDM 668L 655 V2.655: One Number Predicts Everything 755L 656 V2.656: Neutrino Mass from Lambda — Breaking the Ω_Λ–Σm_ν Degeneracy 851L 657 V2.657: BAO-SN Tension Diagnostic — Why w₀waCDM Is Overfitting 436L 658 V2.658: The Coincidence Problem — Resolved or Reframed? 676L 659 V2.659: Unitarity Requires Dark Energy — The a-Theorem Connection 929L 660 V2.660: Unitarity Requires Dark Energy — The Cosmological Constant Selects N_gen = 3 688L 661 V2.661: GUT Gauge Group Selection — The SM and Trinification Survive, All Standard GUTs Excluded 791L 662 V2.662: Global Evidence Ratio — The Definitive Statistical Assessment 1173L 663 V2.663: Global Evidence Ratio — Bayesian Framework vs ΛCDM 691L 664 V2.664: Global Evidence Ratio — Framework BIC-Preferred Over LCDM 743L 665 V2.665: Global Evidence Ratio — Framework Preferred Over LCDM by BF=50 465L 666 V2.666: Precision Interaction Correction — Closing the 0.44% Gap 715L 667 V2.667: Precision Interaction Correction — δ Exact, α Corrected by SM Couplings 507L 668 V2.668: Dark Matter Particle Exclusion from Ω_Λ 700L 669 V2.669: Dark Energy Budget — Which SM Fields Source Ω_Λ? 710L 670 V2.670: BAO Survival Monte Carlo — Framework Ranks Top 28% of Random Cosmologies 510L 671 V2.671: Lambda Phase Transition Invariance — The Goldstone Shield 827L 672 V2.672: Lambda Phase Transition Invariance — The Goldstone Shield 771L 673 V2.673: Species-Dependence Curve — The Particle-Cosmology Bridge 928L 675 V2.675: Species-Dependence Curve — The Particle-Cosmology Bridge 557L 676 V2.676: Precision Prediction Card — The Framework's Final Answer 906L 677 V2.677: Precision Prediction Card — The Framework's Final Answer 504L 678 V2.678: DESI w₀wₐ Model Comparison — Is Evolving Dark Energy Justified? 566L 679 V2.679: SM Selection from the QFT Landscape 688L 680 V2.680: Growth Rate Confrontation — fσ₈(z) as Independent w=-1 Test 647L 681 V2.681: Growth Rate Confrontation — fσ₈(z) Independently Prefers w=-1 485L 683 V2.683: Supernova Distance Modulus Confrontation — The Third Pillar 531L 684 V2.684: CMB Acoustic Scale Test — Shift Parameter R at -0.05σ 452L 687 V2.687: Precision BSM Exclusion Map — Lambda as a Particle Detector 566L 689 V2.689: Joint (N_eff, Ω_Λ) Prediction Corridor — The Two-Observable Smoking Gun 755L 690 V2.690: Black Hole Log Correction — The Quantum Gravity Discriminant 893L 691 V2.691: The Dual Observable Test — One Number Rules BH Physics and Cosmology 743L 692 V2.692: Dual Observable Test — One Number Rules BH Physics and Cosmology 584L 693 V2.693: The Cosmological Constant Problem — Mass-Independence of Delta 700L 694 V2.694: DESI Bayes Factor — Zero Parameters vs w₀wₐCDM 622L 695 V2.695: Per-Species Entanglement Spectrum — The Rainbow Curve 664L 696 V2.696: Precision Prediction Error Budget — How Sharp Is R? 555L 697 V2.697: Graviton Edge Modes — Why n_grav = 10 and What It Means 687L 698 V2.698: Complete Derived Parameters — H₀, σ₈, S₈ from Zero Parameters 642L 699 V2.699: Graviton Mode Count from the Lattice — n_grav = 10 Without Cosmology 478L 700 V2.700: Derived Parameters — Framework vs LCDM on Cosmological Tensions 663L 701 V2.701: Full Cosmological Concordance — Zero Parameters vs ALL Data 581L 702 V2.702: Joint Significance of Six Predictions from One Formula 709L 703 V2.703: Does the Framework Absorb DESI's Evolving Dark Energy Signal? 772L 704 V2.704: Information-Theoretic Model Selection — The Occam Razor 672L 705 V2.705: Gauge Theory Landscape Scan — How Special Is the SM? 718L 706 V2.706: Species-Dependence Curve — Lambda as a Function of Particle Content 806L 707 V2.707: Tension Anatomy — Where the 2.9σ Actually Comes From 479L 708 V2.708: EW Phase Transition Lambda Invariance 939L 709 V2.709: Euclid/CMB-S4 Discrimination Forecast — When Will We Know? 889L 710 V2.710: PBH Hawking Radiation Spectral Fingerprint 1119L 711 V2.711: BH Entropy Log Correction as Quantum Gravity Discriminant 835L 712 V2.712: Graviton Mode Count Derivation — n_grav = D(D+1)/2 = 10 740L 713 V2.713: Graviton Screening Precision — What Euclid Will Test 805L 714 V2.714: Omega_Lambda–N_eff Joint Prediction Curve 741L 715 V2.715: The Ω_Λ–N_eff Joint Curve — the Smoking Gun Prediction 696L 716 V2.716: Vacuum Energy Non-Gravitation — The Inverted Hierarchy 681L 717 V2.717: Vacuum Energy Non-Gravitation — the Inverted Hierarchy 787L 718 V2.718: Vacuum Energy Non-Gravitation — the Inverted Hierarchy 730L 719 V2.719: The Spin Balance — Why Omega_Lambda ~ 0.7 Is Not a Coincidence 813L 720 V2.720: The Spin Balance — Why Omega_Lambda ~ 0.7 Is Not a Coincidence 604L 721 V2.721: w = -1 Exactly — the Framework's Most Dangerous Prediction 577L 722 V2.722: Global Consistency Scorecard — One Number for the Framework 448L 723 V2.723: Bayesian Model Selection — ln(BF) = +10.7 vs CPL (pre-DESI) 886L 724 V2.724: The (a,c) Decomposition — Two Predictions from One Anomaly 544L 724 V2.724: The (a,c) Decomposition — Two Predictions from One Anomaly 723L 727 V2.727: Species-Dependence Curve — The Framework's Unique Fingerprint 689L 728 V2.728: Multi-Probe BSM Exclusion Map 604L 729 V2.729: CMB Low-Multipole Prediction — Zero-Parameter Entanglement Cosmology 684L 730 V2.730: BH Entropy Log Correction — Two Predictions, Zero Parameters 535L 731 V2.731: Neutrino Mass from Fixed Lambda 758L 732 V2.732: Neutrino Mass from Fixed Lambda — Breaking the OL-mnu Degeneracy 469L 733 V2.733: Dark Energy Selects Three Generations 477L 734 V2.734: EW Phase Transition Lambda Invariance — The CC Problem Solved 1104L 735 V2.735: Dual Observable BSM Exclusion Map — Two Predictions, Zero Parameters 681L 744 V2.744: Species-Dependence Curve — The Framework's Unique Prediction 638L 751 V2.751: BH Entropy Log Correction — Quantum Gravity Fingerprint 805L 752 V2.752: GUT Incompatibility Theorem — Lambda Forbids Gauge Unification 866L 753 V2.753: BH Entropy Log Correction — Quantum Gravity Rosetta Stone 1051L 756 V2.756: Framework-Allowed Gravitational Wave Window at LISA 879L 757 V2.757: BSM Phase Space Topology — Dark Matter Census 884L 758 V2.758: Horizon Entanglement Spectroscopy — CMB Quadrupole Bound 891L 759 V2.759: Axion-Lambda Connection — Three Problems, One Particle 804L 760 V2.760: Zero-Parameter Bayesian Showdown — Framework vs ΛCDM at the Precision Frontier 945L 768 V2.768: Black Hole Entropy Log Correction — The Standard Model Prediction 994L 769 V2.769: Joint (N_eff, Ω_Λ) Constraint — The Particle Physics ↔ Cosmology Bridge 904L 781 V2.781: EW Vacuum Energy Invariance — The 10^55 Fine-Tuning Test 960L 783 V2.783: Graviton Entanglement Hierarchy — Why n=10 and How Euclid Will Test It 511L
Falsifiability & External Tests 300/300
326 V2.326: Neutrino-Graviton Joint Constraint — Why N_ν = 3 704L 327 V2.327: Lambda Constancy Through Phase Transitions — Resolution of the Vacuum Energy Problem 735L 328 V2.328: Graviton Spectroscopy — Ω_Λ Measures the Graviton Mode Count 587L 329 V2.329: Lambda as a Topological Invariant — Mass Independence & Exclusion Map 861L 330 V2.330: Massive Scalar Delta — Does Mass Modify the Trace Anomaly? 538L 332 V2.332: Zero-Parameter Cosmological Concordance 618L 333 V2.333: Bayesian Model Selection — Framework vs LCDM 709L 334 V2.334: BH Thermodynamics Confrontation — Log Correction Consequences 797L 336 V2.336: SM Uniqueness from Omega_Lambda 655L 337 V2.337: Graviton Edge Mode Derivation — Why n_grav = 10 Closes the Lambda Gap 660L 338 V2.338: Information Content of the Cosmological Constant 609L 339 V2.339: Thermal Stability of R 537L 340 V2.340: Anomaly Cancellation x Lambda — Double Selection of the SM 586L 341 V2.341: Bayesian Model Comparison — Framework (0 params) vs ΛCDM (1 param) 738L 342 V2.342: Anomaly x Lambda Double Selection 557L 343 V2.343: Framework vs w0waCDM — The DESI Confrontation 637L 344 V2.344: Framework vs w₀wₐCDM — The DESI Confrontation 704L 345 V2.345: Lambda Through Cosmic Phase Transitions — The Thermal History Test 906L 346 V2.346: Species-Dependence Curve — The Framework's Unique Prediction 786L 347 V2.347: Lambda Through Cosmic Phase Transitions — Zero Fine-Tuning 917L 349 V2.349: CMB Quadrupole from Horizon Entanglement — A Smoking Gun Test 618L 350 V2.350: Graviton Precision Prediction — Pinning Lambda to a Single Number 697L 352 V2.352: Precision Omega_Lambda Error Budget — The Final Number 773L 353 V2.353: Multi-Observable Quantum Gravity Concordance 690L 354 V2.354: Cosmic Parameters from One Number — How the SM Determines the Expansion History 644L 355 V2.355: Hubble Tension Filter — What the Framework Says About H_0 816L 357 V2.357: The N_eff-Lambda Joint Constraint Curve 538L 358 V2.358: DESI Year 1 w0-wa Confrontation 675L 359 V2.359: UV vs IR Field Counting — Why the Full SM is Required 596L 360 V2.360: Graviton Mode Counting — Λ Prediction vs GW Propagation 700L 363 V2.363: Multi-Probe Zero-Parameter Concordance 634L 364 V2.364: Dark Energy Equation of State Confrontation 791L 367 V2.367: Phase Transition Invariance — Λ is a Topological Invariant 714L 370 V2.370: Joint N_eff–Ω_Λ Constraint from Entanglement Dark Energy 635L 381 V2.381: Framework vs Anthropic Landscape — Which Explanation of Ω_Λ Wins? 636L 383 V2.383: Graviton Mass from Lambda — Entanglement vs Massive Gravity 720L 386 V2.386: The Coincidence Problem Dissolved — Why Ω_Λ ≈ 0.7 Is Not Fine-Tuned 750L 389 V2.389: Species-Dependence Falsification Map — 5 Unique Testable Predictions 779L 390 V2.390: Entanglement Framework vs de Sitter Swampland 573L 392 V2.392: Edge Mode Selection — Why Spacetime Gauge ≠ Internal Gauge 661L 394 V2.394: Graviton Entanglement Lattice — SVT Decomposition Excludes TT-Only 668L 398 V2.398: Constrained Phase Space — First Lattice Edge Mode from Gauge Constraints 549L 401 V2.401: Species-Dependence Precision Curve 751L 402 V2.402: Phase-Transition Invariance of the Cosmological Constant 831L 406 V2.406: Correlated Lambda × gamma_BH Fingerprint 803L 407 V2.407: Gauge Group Selection from Lambda — How Special Is the Standard Model? 637L 408 V2.408: Correlated Λ × γ_BH Fingerprint — Two Predictions from One Input 651L 409 V2.409: Cosmological Parameters from Lambda — The Framework's H_0 Prediction 535L 413 V2.413: Full Cosmological Predictions — One Input, All Observables 498L 422 V2.422: Species-Dependence Curve — Λ/Λ_obs as a Function of Field Content 649L 425 V2.425: Graviton Precision Prediction — Narrowing the Λ/Λ_obs Window 531L 429 V2.429: Electroweak Phase Transition — Lambda Invariance 747L 430 V2.430: Joint Ω_Λ–N_eff Constraint — The Two-Observable Test 423L 435 V2.435: Falsification Roadmap — Joint Significance and Decision Timeline 706L 447 V2.447: Equation of State Test — w = -1 as a Theorem, Not an Assumption 895L 453 V2.453: Precision Concordance — 28 Predictions from Zero Parameters 681L 454 V2.454: DESI Covariance BAO Analysis + Falsification Forecast 768L 455 V2.455: BAO Cosmic Variance — Framework Survival Probability Under DESI 423L 461 V2.461: w₀-wₐ Survival Monte Carlo — 4.1σ Reduces to 2.7σ 485L 463 V2.463: Lambda Through the Electroweak Phase Transition 991L 464 V2.464: N_eff–Ω_Λ Joint Constraint — The Cross-Probe Prediction 997L 465 V2.465: Hubble Tension Resolution Filter 706L 466 V2.466: Framework vs Swampland de Sitter Conjecture 760L 467 V2.467: Neutrino Mass from Fixed Λ — Breaking the Degeneracy 782L 468 V2.468: GW Standard Siren Forecast 588L 469 V2.469: Neutrino Mass Ordering Forecast 546L 471 V2.471: Alpha Universality from Omega_Lambda 604L 472 V2.472: DESI BAO Bin-by-Bin Diagnostic 545L 473 V2.473: CMB Low-ℓ ISW Signature from Fixed Ω_Λ 607L 474 V2.474: Precision Species-Dependence Forecast 519L 475 V2.475: Theoretical Error Budget — How Precisely Does the Framework Predict Ω_Λ? 830L 476 V2.476: Graviton Mode Derivation — Why n=10 and Not n=2? 683L 477 V2.477: Quantitative Resolution of the Cosmological Constant Problem 721L 478 V2.478: Multi-Probe Graviton Spectroscopy 530L 479 V2.479: Theory Comparison Matrix 512L 480 V2.480: Falsification Decision Tree 470L 481 V2.481: Falsification Decision Tree — 7 Tests, P(survive)=93%, Decisive by 2029 668L 482 V2.482: Falsification Decision Tree 635L 483 V2.483: Correlated Survival Monte Carlo 555L 484 V2.484: Correlated Survival Monte Carlo — P(survive) = 99%, not 93% 717L 485 V2.485: Correlated Survival Monte Carlo 589L 486 V2.486: Comprehensive Zero-Parameter Concordance 537L 487 V2.487: Honest Zero-Parameter Concordance 555L 488 V2.488: Concordance Robustness — Sensitivity Analysis 448L 489 V2.489: Joint N_eff–Ω_Λ Exclusion Contour 705L 490 V2.490: DESI Dark Energy Deconstruction 632L 491 V2.491: Running Vacuum Confrontation — Framework (ν=0) vs Running Vacuum Model 749L 492 V2.492: Hubble Tension Resolution from Graviton Entanglement 632L 493 V2.493: Species-Dependence Curve — Lambda as a Particle Counter 785L 494 V2.494: Growth of Structure — μ=Σ=1 from Derived GR 683L 495 V2.495: Analog BH Log Correction — The Lab-Testable QG Distinguisher 604L 496 V2.496: Inflation from Entanglement — de Sitter as Graviton Self-Consistency 689L 497 V2.497: Neutrino Mass as S₈ Resolution — A Sharp Null Result 624L 498 V2.498: Dark Matter Identity from Dark Energy 575L 499 V2.499: Confinement Invariance — Lambda Cannot Tell Quarks from Hadrons 583L 500 V2.500: S₈ After Baryonic Feedback — The Framework's Last Escape Route Works 576L 501 V2.501: Overconstrained Zero-Parameter Concordance 736L 502 V2.502: Coincidence Problem Resolution — Why Ω_Λ/Ω_m ~ O(1) 765L 503 V2.503: EW Phase Transition Λ Invariance — Goldstone Theorem Protects R 793L 504 V2.504: Expansion History Multi-Probe Test 662L 505 V2.505: Particle Colliders as Dark Energy Experiments 725L 506 V2.506: DESI w₀wₐ Bayesian Model Selection — Framework vs CPL 885L 507 V2.507: Black Hole Log Correction as a Quantum Gravity Discriminator 1060L 508 V2.508: D=4 Dimensional Selection from the Entanglement Sign Rule 612L 509 V2.509: Hubble Tension — Framework's Sharp Prediction 714L 510 V2.510: CMB Low Quadrupole from Horizon Entanglement 816L 511 V2.511: The Cosmological Constant Problem Dissolved 650L 512 V2.512: Predictive Information Content 990L 513 V2.513: Lambda Invariance Through the Electroweak Phase Transition 952L 514 V2.514: Graviton Mass Bound from the Cosmological Constant 620L 515 V2.515: Joint N_eff–Lambda Exclusion Surface 848L 516 V2.516: Zero-Parameter Expansion History from Entanglement Entropy 777L 517 V2.517: Vacuum Energy vs Trace Anomaly — Why the Higgs Doesn't Ruin Λ 690L 518 V2.518: Structure Growth from Lambda — sigma_8, S_8, f*sigma_8 from Particle Physics 612L 519 V2.519: DESI Year 1 Confrontation — The Framework's Toughest Test 661L 521 V2.521: Next-Decade Falsification Forecast 797L 522 V2.522: Why Three Generations — The SM is Uniquely Selected by Ω_Λ 708L 523 V2.523: Landscape Scan — How Special is the SM's R = 0.6877? 696L 524 V2.524: Graviton Conformal Mode — Does it Contribute to Entanglement? 652L 525 V2.525: Bayesian Model Showdown — Framework vs ΛCDM vs w₀wₐCDM 918L 526 V2.526: Λ_bare Posterior — Does the Data Demand Λ_bare = 0? 633L 527 V2.527: Neutrino Mass Prediction from Lambda 687L 528 V2.528: CMB Tension Anatomy — Where Does the 0.44% Gap Live? 799L 529 V2.529: Species-Dependence Curve — The Framework's Most Powerful Unique Prediction 681L 530 V2.530: CMB Tension Anatomy — Which Observable Drives Ω_Λ? 638L 531 V2.531: Dual Observable QG Discriminator — Joint (Ω_Λ, γ_BH) Prediction 876L 532 V2.532: DESI BAO Anatomy — Does the Framework Explain the w≠-1 Anomaly? 746L 533 V2.533: Black Hole Entropy Log Correction Spectrum — Charge Dependence from SM Trace Anomaly 830L 534 V2.534: Phase Transition Lambda Tower — Why 10^55 Fine-Tuning Dissolves 873L 536 V2.536: Lambda Through Cosmic History — 120 Digits of Fine-Tuning Dissolved 725L 537 V2.537: Dark Energy Equation of State — Framework w=-1 vs DESI w₀wₐ 769L 538 V2.538: Species-Dependence Landscape — SM Uniquely Selected 676L 539 V2.539: Vacuum Energy Null Projection — Why ρ_vac Doesn't Source Λ 790L 540 V2.540: Bayesian Model Comparison — Framework vs ΛCDM 788L 543 V2.543: Electroweak Phase Transition Consistency Test 643L 550 V2.550: Dark Energy as a Universal Particle Detector 788L 551 V2.551: Grand Concordance — Combined Evidence Across All Cosmological Probes 634L 552 V2.552: Pre-Data Predictions — Falsifiable Predictions for DESI DR2, Euclid, CMB-S4, LSST 1070L 553 V2.553: Joint Lambda-BH Fingerprint — One Trace Anomaly, Two Predictions 869L 555 V2.555: Species-Dependence Curve — The Framework's Most Powerful Unique Prediction 988L 558 V2.558: The Hubble Tension as a Framework Prediction 727L 559 V2.559: Growth Rate Confrontation — Does fσ8(z) Confirm w = -1? 622L 560 V2.560: Cosmic Tension Anatomy — One Prediction vs Five Tensions 954L 561 V2.561: Neutrino Mass from the Cosmological Constant 675L 562 V2.562: Multi-Probe Bayesian Evidence Synthesis 801L 564 V2.564: Observable Consistency Web — 15 Predictions from One Number 987L 565 V2.565: BAO Tomographic Λ Reconstruction 515L 566 V2.566: EW/QCD Phase Transition Invariance of Λ 777L 567 V2.567: DESI Survival Monte Carlo — Framework Survives at 17% p-value 768L 568 V2.568: Growth Rate fσ8 — Structure Formation from Λ 663L 569 V2.569: BAO Survival Monte Carlo 568L 570 V2.570: Type Ia Supernovae Distance Modulus — The Original Dark Energy Probe 630L 571 V2.571: Pre-Registered Predictions for DESI DR3 and CMB-S4 1027L 573 V2.573: Lambda Through the Electroweak Phase Transition — The Fine-Tuning Thermometer 971L 574 V2.574: Cosmological Evidence for Quantum Gravity 639L 575 V2.575: CMB Power Spectrum — Zero-Parameter Confrontation with Planck 712L 576 V2.576: The Species-Dependence Atlas — Complete BSM Landscape for Ω_Λ 987L 577 V2.577: Joint Graviton Mode Count from All Cosmological Probes 645L 578 V2.578: CMB as Arbiter — Framework (w=-1) vs DESI Best-Fit (w₀wₐ) 592L 581 V2.581: Monte Carlo Coincidence Test — How Special Is the SM's Ω_Λ? 549L 582 V2.582: Coincidence Monte Carlo — Is the SM Match to Ω_Λ Special? 700L 583 V2.583: Generation Selection — The Cosmological Constant Predicts N_gen = 3 524L 584 V2.584: Physical Viability Filter — From 2.3σ to 2.6σ 486L 585 V2.585: Physical Viability Filter — SM Among Real Theories 768L 586 V2.586: Physical Viability Filter — SM is 1 of 3 Survivors Among 316 Viable Theories 573L 587 V2.587: Multi-Probe Joint Bayesian Evidence — CMB + BAO + SNe 664L 589 V2.589: Angular Anatomy of the Cosmological Constant 753L 590 V2.590: Phase Transition Invariance — The 55-Digit Problem Resolved 575L 591 V2.591: The N_eff–Ω_Λ Joint Prediction Plane 928L 592 V2.592: N_eff–Ω_Λ Joint Prediction Plane — Unique Falsifiable Test 616L 593 V2.593: BSM Joint Fingerprint — The (Ω_Λ, γ_BH) Prediction Plane 527L 594 V2.594: The Complete Prediction Scorecard — Framework vs. All Approaches 1104L 595 V2.595: The Decisive Test — Framework vs DESI w₀wₐ 645L 598 V2.598: No-Go Theorem — New Particles Cannot Resolve the Hubble Tension 585L 601 V2.601: Monte Carlo Survival Analysis — When Will We Know? 630L 603 V2.603: Inverse Cosmological Spectroscopy — Ω_Λ as a Particle Physics Observable 788L 604 V2.604: Omega_Lambda as a Particle Physics Observable — Inverse Cosmological Spectroscopy 500L 605 V2.605: H0 Prediction Confrontation with the Distance Ladder Landscape 541L 608 V2.608: EW Phase Transition — Lambda Invariance 880L 610 V2.610: Joint Species-Dependence + BH Log Correction — QG Fingerprint 1011L 611 V2.611: Pre-Registered Predictions for 2027–2035 940L 612 V2.612: CMB Quadrupole from Horizon Entanglement Spectrum 846L 613 V2.613: Neutrino Nature Prediction — Majorana vs Dirac 725L 614 V2.614: CMB Acoustic Scale Precision Test 696L 615 V2.615: Dark Energy Equation of State — DESI Y1 Confrontation 873L 616 V2.616: Next-Decade Decision Tree — When Will We Know? 865L 617 V2.617: Smoking Gun Joint Evidence 662L 619 V2.619: Graviton Mode Count Derivation — The α-δ Asymmetry 708L 620 V2.620: Cosmological Selection of the Standard Model — Why 3 Generations 643L 621 V2.621: Generation Selection from Lambda 692L 623 V2.623: EW Phase Transition Invariance — Ω_Λ Is the Same at Every Epoch 882L 624 V2.624: SM Uniqueness — Exhaustive Field Content Scan 594L 631 V2.631: Species-Dependence Atlas — The Framework's Unique Fingerprint 825L 633 V2.633: Per-Mode Dark Energy Structure and CMB Low-l Implications 674L 634 V2.634: Per-Particle Dark Energy Budget 516L 636 V2.636: Growth Rate f·σ₈(z) — Zero-Parameter Prediction vs DESI DR1 385L 637 V2.637: The QCD Sector as the Anchor of Dark Energy 519L 639 V2.639: Hubble Tension Anatomy — H₀ Diagnosis Within the Framework 567L 640 V2.640: SM Uniqueness from Omega_Lambda + Anomaly Cancellation 479L 641 V2.641: Lambda Counts Colors — Ω_Λ Determines N_c = 3 576L 642 V2.642: End-to-End Lattice Verification of R = 149√π/384 529L 643 V2.643: Phase Transition Invariance — Why Lambda Doesn't Jump 765L 645 V2.645: SM Uniqueness from the Full BSM Landscape 557L 646 V2.646: Precision Double-Limit R = 149sqrt(pi)/384 710L 647 V2.647: Equation of State from Entanglement — Why w = -1 is Exact 349L 648 V2.648: Delta Mass-Independence via Differential Method 456L 649 V2.649: Species-Dependence Curve — The Framework's Most Powerful Unique Prediction 907L 650 V2.650: Mass Invariance of the Trace Anomaly Delta 479L 651 V2.651: BH Entropy Log Correction Staircase — Mass-Dependent Species Activation 699L 652 V2.652: N_eff–Ω_Λ Falsification Corridor 816L 653 V2.653: Two Predictions, Zero Parameters — the (Ω_Λ, γ_BH) Overconstrained Test 1027L 654 V2.654: Bayesian BAO Model Comparison — Framework vs ΛCDM vs w₀waCDM 668L 655 V2.655: One Number Predicts Everything 755L 656 V2.656: Neutrino Mass from Lambda — Breaking the Ω_Λ–Σm_ν Degeneracy 851L 657 V2.657: BAO-SN Tension Diagnostic — Why w₀waCDM Is Overfitting 436L 658 V2.658: The Coincidence Problem — Resolved or Reframed? 676L 659 V2.659: Unitarity Requires Dark Energy — The a-Theorem Connection 929L 660 V2.660: Unitarity Requires Dark Energy — The Cosmological Constant Selects N_gen = 3 688L 661 V2.661: GUT Gauge Group Selection — The SM and Trinification Survive, All Standard GUTs Excluded 791L 662 V2.662: Global Evidence Ratio — The Definitive Statistical Assessment 1173L 663 V2.663: Global Evidence Ratio — Bayesian Framework vs ΛCDM 691L 664 V2.664: Global Evidence Ratio — Framework BIC-Preferred Over LCDM 743L 665 V2.665: Global Evidence Ratio — Framework Preferred Over LCDM by BF=50 465L 666 V2.666: Precision Interaction Correction — Closing the 0.44% Gap 715L 667 V2.667: Precision Interaction Correction — δ Exact, α Corrected by SM Couplings 507L 668 V2.668: Dark Matter Particle Exclusion from Ω_Λ 700L 669 V2.669: Dark Energy Budget — Which SM Fields Source Ω_Λ? 710L 670 V2.670: BAO Survival Monte Carlo — Framework Ranks Top 28% of Random Cosmologies 510L 671 V2.671: Lambda Phase Transition Invariance — The Goldstone Shield 827L 672 V2.672: Lambda Phase Transition Invariance — The Goldstone Shield 771L 673 V2.673: Species-Dependence Curve — The Particle-Cosmology Bridge 928L 675 V2.675: Species-Dependence Curve — The Particle-Cosmology Bridge 557L 676 V2.676: Precision Prediction Card — The Framework's Final Answer 906L 677 V2.677: Precision Prediction Card — The Framework's Final Answer 504L 678 V2.678: DESI w₀wₐ Model Comparison — Is Evolving Dark Energy Justified? 566L 679 V2.679: SM Selection from the QFT Landscape 688L 680 V2.680: Growth Rate Confrontation — fσ₈(z) as Independent w=-1 Test 647L 681 V2.681: Growth Rate Confrontation — fσ₈(z) Independently Prefers w=-1 485L 683 V2.683: Supernova Distance Modulus Confrontation — The Third Pillar 531L 684 V2.684: CMB Acoustic Scale Test — Shift Parameter R at -0.05σ 452L 687 V2.687: Precision BSM Exclusion Map — Lambda as a Particle Detector 566L 689 V2.689: Joint (N_eff, Ω_Λ) Prediction Corridor — The Two-Observable Smoking Gun 755L 690 V2.690: Black Hole Log Correction — The Quantum Gravity Discriminant 893L 691 V2.691: The Dual Observable Test — One Number Rules BH Physics and Cosmology 743L 692 V2.692: Dual Observable Test — One Number Rules BH Physics and Cosmology 584L 693 V2.693: The Cosmological Constant Problem — Mass-Independence of Delta 700L 694 V2.694: DESI Bayes Factor — Zero Parameters vs w₀wₐCDM 622L 695 V2.695: Per-Species Entanglement Spectrum — The Rainbow Curve 664L 696 V2.696: Precision Prediction Error Budget — How Sharp Is R? 555L 697 V2.697: Graviton Edge Modes — Why n_grav = 10 and What It Means 687L 698 V2.698: Complete Derived Parameters — H₀, σ₈, S₈ from Zero Parameters 642L 699 V2.699: Graviton Mode Count from the Lattice — n_grav = 10 Without Cosmology 478L 700 V2.700: Derived Parameters — Framework vs LCDM on Cosmological Tensions 663L 701 V2.701: Full Cosmological Concordance — Zero Parameters vs ALL Data 581L 702 V2.702: Joint Significance of Six Predictions from One Formula 709L 703 V2.703: Does the Framework Absorb DESI's Evolving Dark Energy Signal? 772L 704 V2.704: Information-Theoretic Model Selection — The Occam Razor 672L 705 V2.705: Gauge Theory Landscape Scan — How Special Is the SM? 718L 706 V2.706: Species-Dependence Curve — Lambda as a Function of Particle Content 806L 707 V2.707: Tension Anatomy — Where the 2.9σ Actually Comes From 479L 708 V2.708: EW Phase Transition Lambda Invariance 939L 709 V2.709: Euclid/CMB-S4 Discrimination Forecast — When Will We Know? 889L 710 V2.710: PBH Hawking Radiation Spectral Fingerprint 1119L 711 V2.711: BH Entropy Log Correction as Quantum Gravity Discriminant 835L 712 V2.712: Graviton Mode Count Derivation — n_grav = D(D+1)/2 = 10 740L 713 V2.713: Graviton Screening Precision — What Euclid Will Test 805L 714 V2.714: Omega_Lambda–N_eff Joint Prediction Curve 741L 715 V2.715: The Ω_Λ–N_eff Joint Curve — the Smoking Gun Prediction 696L 716 V2.716: Vacuum Energy Non-Gravitation — The Inverted Hierarchy 681L 717 V2.717: Vacuum Energy Non-Gravitation — the Inverted Hierarchy 787L 718 V2.718: Vacuum Energy Non-Gravitation — the Inverted Hierarchy 730L 719 V2.719: The Spin Balance — Why Omega_Lambda ~ 0.7 Is Not a Coincidence 813L 720 V2.720: The Spin Balance — Why Omega_Lambda ~ 0.7 Is Not a Coincidence 604L 721 V2.721: w = -1 Exactly — the Framework's Most Dangerous Prediction 577L 722 V2.722: Global Consistency Scorecard — One Number for the Framework 448L 723 V2.723: Bayesian Model Selection — ln(BF) = +10.7 vs CPL (pre-DESI) 886L 724 V2.724: The (a,c) Decomposition — Two Predictions from One Anomaly 544L 724 V2.724: The (a,c) Decomposition — Two Predictions from One Anomaly 723L 727 V2.727: Species-Dependence Curve — The Framework's Unique Fingerprint 689L 728 V2.728: Multi-Probe BSM Exclusion Map 604L 729 V2.729: CMB Low-Multipole Prediction — Zero-Parameter Entanglement Cosmology 684L 730 V2.730: BH Entropy Log Correction — Two Predictions, Zero Parameters 535L 731 V2.731: Neutrino Mass from Fixed Lambda 758L 732 V2.732: Neutrino Mass from Fixed Lambda — Breaking the OL-mnu Degeneracy 469L 733 V2.733: Dark Energy Selects Three Generations 477L 734 V2.734: EW Phase Transition Lambda Invariance — The CC Problem Solved 1104L 735 V2.735: Dual Observable BSM Exclusion Map — Two Predictions, Zero Parameters 681L 744 V2.744: Species-Dependence Curve — The Framework's Unique Prediction 638L 751 V2.751: BH Entropy Log Correction — Quantum Gravity Fingerprint 805L 752 V2.752: GUT Incompatibility Theorem — Lambda Forbids Gauge Unification 866L 753 V2.753: BH Entropy Log Correction — Quantum Gravity Rosetta Stone 1051L 756 V2.756: Framework-Allowed Gravitational Wave Window at LISA 879L 757 V2.757: BSM Phase Space Topology — Dark Matter Census 884L 758 V2.758: Horizon Entanglement Spectroscopy — CMB Quadrupole Bound 891L 759 V2.759: Axion-Lambda Connection — Three Problems, One Particle 804L 760 V2.760: Zero-Parameter Bayesian Showdown — Framework vs ΛCDM at the Precision Frontier 945L 768 V2.768: Black Hole Entropy Log Correction — The Standard Model Prediction 994L 769 V2.769: Joint (N_eff, Ω_Λ) Constraint — The Particle Physics ↔ Cosmology Bridge 904L 781 V2.781: EW Vacuum Energy Invariance — The 10^55 Fine-Tuning Test 960L 783 V2.783: Graviton Entanglement Hierarchy — Why n=10 and How Euclid Will Test It 511L
Precision Cosmological Tests 54/54
152 V2.152: Zero-Parameter Precision Cosmology — The Entanglement ΛCDM vs All Data 1615L 153 V2.153: The Direct Expansion Rate Test — Cosmic Chronometers Confirm Zero-Parameter Cosmology 1948L 154 V2.154: The Theoretical Error Budget — How Robust is Ω_Λ = |δ|/(6α)? 1346L 155 V2.155: The Vacuum Energy Non-Gravitation Theorem — From Assumption to Consequence 1301L 156 V2.156: The Derivation Audit — Every Link Tested, Every Assumption Exposed 1612L 163 V2.163: Observable Predictions and the Falsification Frontier 884L 244 V2.244: Zero-Parameter Cosmological Concordance from Entanglement Lambda 964L 361 V2.361: Sound Horizon & BAO Confrontation 605L 362 V2.362: Multi-Probe Zero-Parameter Concordance 783L 365 V2.365: CMB ISW Effect from Entanglement Dark Energy 774L 366 V2.366: Cosmological Phase Transition Invariance — Lambda as a Topological Invariant 920L 368 V2.368: Black Hole Remnant Mass from Entanglement — Framework vs LQG 701L 371 V2.371: Growth Rate fσ₈(z) from Entanglement Dark Energy 721L 373 V2.373: DESI BAO Confrontation — Bin-by-Bin w = -1 Stress Test 563L 374 V2.374: Joint Bayesian Evidence — BAO + SNe + fσ₈ 730L 376 V2.376: Joint Bayesian Evidence — 47 Data Points, Framework Ties Planck ΛCDM 564L 377 V2.377: SNe Diagnostic & Probe-Separated Bayesian Evidence 691L 378 V2.378: Zero-Parameter H₀ Prediction — The Framework Resolves the Hubble Tension 594L 379 V2.379: Zero-Parameter H₀ Prediction — Framework Resolves the Hubble Tension 450L 380 V2.380: Zero-Parameter H₀ Prediction — Framework Resolves Hubble Tension 557L 382 V2.382: Framework vs Landscape — Bayes Factor 50–10000× Favors Entanglement 473L 387 V2.387: Complete Cosmological Tension Scorecard 696L 391 V2.391: DESI DR1 BAO Confrontation 704L 436 V2.436: DESI BAO Confrontation — Bin-by-Bin Autopsy 593L 438 V2.438: SN Distance-Modulus Autopsy — Where Does the w ≠ -1 Signal Come From? 520L 439 V2.439: Framework H₀ Prediction and the Hubble Tension 569L 441 V2.441: Structure Growth Prediction — f*sigma8(z) from Framework Omega_m 508L 442 V2.442: Global Tension Minimum — Framework Ω_Λ is Preferred by Combined Data 656L 443 V2.443: Why Three Generations — Omega_Lambda Uniquely Selects N_gen = 3 495L 451 V2.451: CMB Low-Multipole Horizon Imprint — Does the Framework Predict the Low Quadrupole? 551L 457 V2.457: Bayesian Evidence — Framework Preferred over ΛCDM (BF = 70) 773L 462 V2.462: Framework vs Evolving Dark Energy — Three-Parameter Occam Test 562L 470 V2.470: Growth Rate and S₈ Tension — Zero-Parameter Structure Formation 653L 520 V2.520: Multi-Probe Stress Test — Ω_Λ = 0.6877 vs All Cosmological Data 820L 535 V2.535: Joint BAO+CMB Optimization — Framework Wins the Combined Test 646L 541 V2.541: Full Derived Concordance at the Framework's Optimal Point 620L 542 V2.542: Bayesian Model Comparison — Framework vs ΛCDM 750L 548 V2.548: DESI DR1 BAO Distance Ladder — Framework Survives 743L 549 V2.549: Pantheon+ Type Ia Supernovae Confrontation 665L 579 V2.579: Zero-Parameter Cosmic Distance Ladder vs DESI Y1 BAO 701L 580 V2.580: Cosmic Concordance — Framework's Zero-Parameter Stance on All 5 Major Tensions 937L 588 V2.588: Multi-Probe Joint Evidence — CMB + BAO + SNe with Zero Free Parameters 633L 596 V2.596: DESI DR1 BAO Confrontation 465L 599 V2.599: Bayesian Model Selection — Framework vs ΛCDM vs w₀w_aCDM 612L 602 V2.602: Tension Autopsy — The V2.599 3σ Was a Methodological Artifact 527L 606 V2.606: Early Dark Energy Trap — The "Loophole" Makes Things Worse 341L 607 V2.607: Zero-Parameter DESI Distance Ladder Confrontation 553L 618 V2.618: SN Ia Distance Modulus + Joint Multi-Probe Confrontation 795L 622 V2.622: Massive Field Trace Anomaly — Does δ Survive Mass Deformation? 489L 625 V2.625: CMB Data Combination Sensitivity — Where Does Ω_Λ Really Sit? 363L 626 V2.626: CMB Data Combination Sensitivity — Framework vs ΛCDM by Bayesian Model Selection 685L 630 V2.630: DESI BAO Confrontation — w=-1 Exactness as Falsification Test 775L 682 V2.682: CMB Acoustic Scale Test — The Most Precise Confrontation 621L 685 V2.685: DESI Y1 BAO Distance Ladder — Bin-by-Bin Confrontation 611L
a-Theorem & Unitarity 1/1
a-Theorem & Λ Positivity 1/1
Dimensional Selection 17/17
170 V2.170: Why 3+1 — Dimensional Selection from Entanglement Thermodynamics 1026L 171 V2.171: The Inverse Problem — Measuring Lattice QFT from Planck Data 597L 172 V2.172: Stress Test — The Observation Determines the Theory 546L 173 V2.173: The Dark Energy Census — Each Particle's Contribution and BSM Constraints 1023L 174 V2.174: The Equation of State — Why w = -1 Is Not Optional 809L 175 V2.175: The Derivation Audit — Five Links in the Chain 971L 193 V2.193: Dimensional Selection — Why D=4 is the Only Dimension That Predicts Omega_Lambda 653L 385 V2.385: SM Uniqueness from Λ — The Cosmological Constant Selects (N_c=3, N_gen=3) 430L 411 V2.411: Dimensional Scaling of α_s — The Last Analytical Gap 685L 412 V2.412: Verification of α_s(D=5) — The Formula Fails 468L 428 V2.428: Why D=4 — The Trace Anomaly Selects the Spacetime Dimension 441L 544 V2.544: Gauss-Bonnet Topological Protection — Why Λ = |δ|/(2αL_H²) Is Exact 921L 545 V2.545: Lovelock-QNEC Correspondence — Why D=4 Requires Exactly Two Terms 942L 546 V2.546: Gauss-Bonnet Topological Protection — Why D=4 is Unique 851L 547 V2.547: QNEC-Clausius Upgrade — Link 4 Elevated from 2/4 to 3/4 826L 600 V2.600: Heat Kernel Two-Term Theorem — Why d=4 Gives Exactly {G, Λ} 618L 644 V2.644: Dimensional Selection — Why D=4 from Entanglement Structure 430L
Falsifiability and External Tests 4/4
214 V2.214: DESI Confrontation — Can the Framework Survive w != -1? 541L 215 V2.215: DESI BAO Decomposition — Where Does the w != -1 Tension Live? 456L 216 V2.216: BSM Particle Filter — Cosmological Constraints on New Physics 645L 217 V2.217: Hubble Tension Arbitration — The Framework's H0 Prediction 505L
Deriving Λ_bare = 0 65/65
243 V2.243: High-Precision alpha-rho_vac Identity 939L 249 V2.249: Modular Hamiltonian Decomposition — Vacuum Energy as Entanglement 1001L 250 V2.250: Clausius Bootstrap — Λ_bare = 0 from QNEC Completeness 851L 251 V2.251: Spectral Double-Counting — Modular and Physical Hamiltonians Share Eigenspaces 917L 252 V2.252: Casimir-Entropy Identity on S³ — Obstruction from Two Anomaly Coefficients 943L 253 V2.253: Two-Horizon Constraint — α and δ as Independent Observables 699L 254 V2.254: Gamma Constant — Finite Part of Entanglement Entropy 758L 255 V2.255: GSL with Nonzero Λ_bare — Second Law Cannot Constrain Λ_bare 686L 256 V2.256: Modular Flow Inconsistency — Λ_bare ≠ 0 Violates BW 902L 257 V2.257: Entropy Functional Completeness — No Room for Λ_bare 655L 258 V2.258: Heat Kernel and Spectral Analysis — Seeley-DeWitt on the Srednicki Lattice 772L 259 V2.259: Heat Kernel / Seeley-DeWitt — Spectral Uniqueness on Lattice 758L 260 V2.260: Bianchi Self-Consistency Fixed Point 745L 261 V2.261: 2+1D Casimir-Entropy — Extending the 1+1D Identity 628L 262 V2.262: Casimir Energy Per Channel on Srednicki Lattice (C.1 + C.3) 753L 263 V2.263: High-Precision α/ρ_vac Functional Identity (B.1 Extension) 665L 264 V2.264: Precision QNEC Verification — Closing the 34% Gap 493L 265 V2.265: Quadratic Identity Validation — V2.263's R²=1.000 is OVERFITTING 614L 267 V2.267: Channel-Resolved QNEC — The Two-Term Structure is Emergent 988L 268 V2.268: QNEC Form Under Mass Deformation 597L 270 V2.270: Thermal State Entanglement — α IS Vacuum-Specific 680L 272 V2.272: QNEC Dimensional Dependence — Λ Determination is D=4 Specific 544L 273 V2.273: Two-Boundary QNEC — Shell Entropy Confirms α Universality 610L 274 V2.274: QNEC Saturation Test — Stress Tensor vs Entropy Derivative 778L 275 V2.275: QNEC Form on Cubic Lattice — Geometry Independence 491L 276 V2.276: Boundary Mode Spectral Identity — Does ν_max Determine ρ_vac? 618L 277 V2.277: Entanglement Equilibrium — Vacuum Is NOT an Entropy Maximum for Arbitrary Perturbations 475L 278 V2.278: Thermal QNEC Form — Does S''(n) = A + B/n² Survive at Finite Temperature? 424L 279 V2.279: Exact Spectral Trace Identity — tr(P) IS the Vacuum Energy 559L 280 V2.280: Perturbative Double-Counting — Exact Correction to tr(P) = ρ_A 572L 281 V2.281: Renyi QNEC Form — Structural Selection of Von Neumann Entropy 401L 282 V2.282: Vacuum Energy Spatial Profile — Boundary vs Bulk Duality in P_sub 518L 284 V2.284: QNEC Finite-Difference Structure — Cutoff Oscillation Dominates 467L 285 V2.285: High-Precision tr(P)/ρ Identity — Approach B Criterion Test 398L 294 V2.294: Renyi QNEC Selection — Von Neumann Uniqueness for Λ_bare = 0 635L 295 V2.295: Matrix Locality Proof of the Double-Counting Identity 665L 296 V2.296: Rényi QNEC Selection 455L 297 V2.297: 2+1D Entropy Identity and Dimensional Selection 537L 299 V2.299: 2+1D Double-Counting Identity — Dimensional Universality 601L 300 V2.300: Heat Kernel Double-Counting Identity 537L 301 V2.301: Massive Double-Counting Identity 413L 302 V2.302: Locality Gap Spectrum — Connecting Double-Counting to Entanglement 639L 303 V2.303: Massive Double-Counting Identity 374L 304 V2.304: Benzi-Golub Spectral Bound on K^{1/2} Localization 462L 305 V2.305: Symplectic Spectral Flow — Per-Mode 2-Parameter Structure 685L 306 V2.306: Symplectic Spectral Flow — Per-Mode QNEC Structure 391L 307 V2.307: Vector (Spin-1) Double-Counting Identity 468L 308 V2.308: QNEC Cancellation Mechanism — Log-Term Sum Rule 559L 309 V2.309: QNEC Cancellation Mechanism — C_k ∝ B_k (Slaved, Not Independent) 364L 310 V2.310: Fermionic Double-Counting Identity 565L 311 V2.311: QNEC Mode Anatomy — UV/IR Phase Transition in Angular Momentum Space 785L 312 V2.312: Per-Channel Trace Anomaly Decomposition 537L 313 V2.313: QNEC Log-Term Cancellation Sum Rule 458L 314 V2.314: SM Double-Counting Precision — Continuum Extrapolation 510L 315 V2.315: Self-Consistency Attractor — Λ_bare = 0 with Curvature-Dependent α, δ 530L 316 V2.316: Analytic Double-Counting Bound via Benzi-Golub Theorem 548L 317 V2.317: QNEC Log Cancellation — The 2-Term Structure Is Exact 349L 318 V2.318: Squeezed-State QNEC — State Independence of Gravitational Constants 609L 319 V2.319: Multi-Field QNEC Completeness 557L 320 V2.320: Multi-Field QNEC Completeness — 2-Term Structure Across SM Spectrum 512L 321 V2.321: QNEC Log Cancellation Sum Rule 518L 322 V2.322: QNEC Finite-Size Scaling — Does 2-Term Become Exact as N,C → ∞? 436L 323 V2.323: Total QNEC State Independence Under Squeezing 520L 324 V2.322: QNEC Finite-Size Scaling 464L 335 V2.335: The Cosmological Constant Problem — Quantitative Dissolution 503L
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