V2.173 - The Dark Energy Census — Each Particle's Contribution and BSM Constraints
V2.173: The Dark Energy Census — Each Particle’s Contribution and BSM Constraints
Status: STRONG POSITIVE
Summary
The Moonwalk formula Omega_Lambda = |delta_total| / (F * alpha_total) depends on every Standard Model particle through both the anomaly sum (delta) and the entanglement area-law coefficient (alpha_total). This experiment decomposes the cosmological constant particle-by-particle, traces how the prediction builds up as fields are added, and derives tight constraints on Beyond Standard Model physics.
Key results:
- Gauge bosons contribute 66.6% of the total anomaly (delta), while quarks contribute 56.7% of the total DOF (N_eff)
- Removing ANY sector shifts Omega_Lambda significantly; removing quarks shifts it by +0.62
- MSSM is excluded at 39 sigma within the framework
- A full 4th generation is excluded at 12 sigma
- At most 4 extra real scalars or 3 extra Weyl fermions are allowed at 3 sigma
- Zero extra gauge bosons are allowed at 3 sigma
Key Results
Result 1: The Dark Energy Pie Chart
| Sector | delta_sector | delta fraction | N_eff | N_eff fraction |
|---|---|---|---|---|
| Higgs | -0.044 | 0.4% | 4 | 3.1% |
| Leptons | -0.550 | 4.4% | 18 | 14.2% |
| Quarks | -2.200 | 17.7% | 72 | 56.7% |
| Gauge bosons | -8.267 | 66.6% | 24 | 18.9% |
| Graviton | -1.356 | 10.9% | 9 | 7.1% |
| Total | -12.417 | 100% | 127 | 100% |
Gauge bosons dominate the anomaly coefficient (delta) because each gauge boson has the largest delta per field (-31/45 ≈ -0.689), while quarks dominate N_eff due to color × chirality multiplicity. The interplay between these two contributions determines the final Omega_Lambda.
Result 2: Assembly Trajectory
Building the universe by adding particles sector by sector:
| After adding | delta_cumul | N_eff | Omega_Lambda | Tension |
|---|---|---|---|---|
| Gauge bosons | -8.267 | 24 | 2.415 | >>3 sigma |
| + Leptons | -8.817 | 42 | 1.472 | >>3 sigma |
| + Quarks | -11.017 | 114 | 0.678 | -0.97 sigma |
| + Higgs | -11.061 | 118 | 0.657 | -3.76 sigma |
| + Graviton | -12.417 | 127 | 0.686 | +0.11 sigma |
The prediction converges through a specific trajectory. After adding quarks, it’s already close (-0.97 sigma). The Higgs pushes it slightly too low (-3.76 sigma). The graviton provides the final correction that brings it into agreement (+0.11 sigma) — confirming V2.172’s result that graviton entanglement is required.
Result 3: Sector Removal Analysis
What if each sector didn’t exist?
| Without | Omega_Lambda | Shift | Tension | Excluded? |
|---|---|---|---|---|
| Higgs | 0.705 | +0.020 | +2.82 sigma | marginal |
| Leptons | 0.763 | +0.078 | +10.8 sigma | YES |
| Quarks | 1.303 | +0.617 | +84.6 sigma | YES |
| Gauge bosons | 0.283 | -0.403 | -55.1 sigma | YES |
| Graviton | 0.657 | -0.028 | -3.76 sigma | YES |
Every sector is needed. The SM particle content is not arbitrary — each piece is constrained by the cosmological constant.
Result 4: BSM Particle Constraints
Maximum extra BSM particles allowed before deviating from Planck:
| BSM particle type | max@1sigma | max@2sigma | max@3sigma | max@5sigma |
|---|---|---|---|---|
| Real scalar | 1 | 3 | 4 | 8 |
| Complex scalar | 0 | 1 | 2 | 4 |
| Weyl fermion | 1 | 2 | 3 | 5 |
| Dirac fermion | 0 | 1 | 1 | 2 |
| Colored Dirac fermion | 0 | 0 | 0 | 0 |
| Gauge boson | 0 | 0 | 0 | 1 |
The constraints are remarkably tight. Zero extra colored Dirac fermions (i.e., no 4th generation quarks) are allowed even at 5 sigma. Extra gauge bosons are equally constrained.
Result 5: Specific BSM Scenarios
| Scenario | Omega_Lambda | Tension | Verdict |
|---|---|---|---|
| SM (baseline) | 0.6855 | +0.11 sigma | allowed |
| 1 sterile neutrino (Weyl) | 0.6782 | -0.89 sigma | allowed |
| 3 sterile neutrinos (Weyl) | 0.6643 | -2.80 sigma | tension |
| 3 sterile neutrinos (Dirac) | 0.6448 | -5.46 sigma | EXCLUDED |
| 1 axion | 0.6808 | -0.54 sigma | allowed |
| 2 axions | 0.6761 | -1.18 sigma | marginal |
| 1 dark photon | 0.7123 | +3.79 sigma | excluded |
| Full 4th generation | 0.5955 | -12.2 sigma | EXCLUDED |
| 2HDM (extra doublet) | 0.6670 | -2.43 sigma | tension |
| MSSM (minimal SUSY) | 0.4002 | -39.0 sigma | EXCLUDED |
The MSSM is catastrophically excluded at 39 sigma. This is because supersymmetry roughly doubles the particle content, adding ~94 extra scalars (sfermions) and ~16 extra Weyl fermions (gauginos + Higgsinos). The resulting shift in Omega_Lambda is enormous.
Result 6: Future Survey Sensitivity
CMB-S4 + Euclid + DESI (projected Omega_Lambda error ~0.002) could detect:
- 2 extra real scalars at 3 sigma
- 1 extra complex scalar at 3 sigma
- 1 extra Weyl fermion at 3 sigma
- 1 extra Dirac fermion at 3 sigma
Future precision cosmology could constrain BSM particle content at the level of individual particles.
Result 7: The Weinberg Bound
The predicted Omega_Lambda = 0.6855 sits just below Weinberg’s anthropic structure formation bound (~0.75). The headroom is only 0.064, or about 9 sigma of the current measurement error.
This was previously the “cosmological constant coincidence problem” — why is Lambda small enough for structure formation but nonzero? The Moonwalk framework answers: Omega_Lambda is CALCULATED from particle physics. The SM particle content happens to produce a value near (but safely below) the anthropic ceiling.
Limitations and Honest Assessment
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Conditional on the framework: All BSM constraints assume the Moonwalk formula is correct. If the formula is wrong, the constraints are meaningless. The constraints should be understood as: “IF Omega_Lambda comes from entanglement entropy, THEN these BSM limits follow.”
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MSSM caveat: Real SUSY models have a mass scale. If superpartners are very heavy, they might decouple from the entanglement spectrum. The analysis assumes all particles contribute regardless of mass (because the entanglement is at the UV cutoff). Whether massive particles decouple from the log correction to EE is a theoretical question that deserves separate study.
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Anomaly coefficients for BSM fields: We use the standard D=4 trace anomaly coefficients for BSM fields. For exotic representations or strongly coupled sectors, these could differ.
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Graviton DOF counting: The constraints depend on N_grav = 9. If N_grav = 2 (physical helicities only), the baseline prediction changes and all constraints shift. V2.172 showed that the data strongly prefer N_grav = 9.
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The Weinberg bound is approximate: The exact anthropic bound depends on assumptions about galaxy formation, observer definition, and the landscape measure. The value 0.75 is indicative, not precise.
What This Means for the Research Program
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The cosmological constant becomes a particle physics observable: Every BSM scenario makes a specific, testable prediction for Omega_Lambda. The framework turns cosmology into a probe of the particle spectrum.
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SUSY is in deep trouble: The MSSM predicts Omega_Lambda ≈ 0.40, excluded at 39 sigma. Even split SUSY or mini-split models (where only some superpartners are light) face significant tension. This is a new, independent argument against low-scale SUSY.
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The SM is not just consistent — it’s SELECTED: The observation Omega_Lambda = 0.6847 is precisely what the SM (with graviton edge modes) predicts. Adding almost any extra particles worsens the agreement. The universe appears to contain exactly the particles needed — no more, no less.
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Future precision matters: CMB-S4 + Euclid + DESI could tighten the constraints to the level of individual particles. If Omega_Lambda measurements improve and continue to agree with the SM prediction, BSM particle physics faces an increasingly narrow window.
Files
src/dark_energy_census.py: SM field registry, sector decomposition, assembly trajectory, BSM constraints, specific scenarios, future projections, Weinberg comparisontests/test_census.py: 12 tests covering all major resultsrun_experiment.py: Full experiment with 7 analysis sections + summary