V2.355 - Hubble Tension Filter — What the Framework Says About H_0
V2.355: Hubble Tension Filter — What the Framework Says About H_0
Question
The Hubble tension (H₀ = 67.4 vs 73.0, 5σ) is the biggest crisis in cosmology. Dozens of solutions have been proposed. What does the entanglement framework say about which solutions are viable?
The Framework’s H_0 Prediction
The framework fixes Ω_Λ = 0.6858 ± 0.0015 (computed, V2.352). Combined with the CMB acoustic scale θ* (precisely measured), this determines:
H₀ = 67.5 ± 0.1 km/s/Mpc (framework) vs 67.36 ± 0.54 (Planck)
The shift from Planck is +0.10 km/s/Mpc — negligible. The framework is in 5.4σ tension with SH0ES (73.04 ± 1.04), just like Planck.
Three Exclusion Filters
The framework applies three independent constraints:
Filter 1: Species-dependence (V2.346)
“No extra light species beyond SM + graviton.” Each new field shifts Λ by a calculable amount. Even 1 extra vector is excluded at 3.7σ. Excludes 10/13 “new physics” solutions.
Filter 2: Equation of state
“Λ from entanglement → w = -1 exactly.” Entanglement entropy is a property of the vacuum state, not a dynamical field. Excludes 6/13 solutions.
Filter 3: Topological invariance
“δ and α are UV invariants — no temperature dependence.” Λ is constant through ALL cosmic history (V2.345).
Results: Solution Filtering
Of 19 proposed solutions to the Hubble tension:
| Category | Total | Excluded | Compatible |
|---|---|---|---|
| Early universe | 7 | 5 | 2 |
| Late universe | 5 | 5 | 0 |
| Modified gravity | 3 | 3 | 0 |
| Systematic errors | 4 | 0 | 4 |
| Total | 19 | 13 (68%) | 6 (32%) |
Excluded Solutions (13)
| Solution | Category | Why excluded |
|---|---|---|
| Extra radiation (ΔN_eff) | Early | New species shift Λ |
| Early Dark Energy (EDE) | Early | New scalar + w ≠ -1 |
| New Early Dark Energy | Early | Two scalars + w ≠ -1 |
| Interacting dark radiation | Early | Extra vector at 3.7σ |
| Majoron | Early | Extra scalar + ΔN_eff |
| Phantom DE (w < -1) | Late | w = -1 exactly |
| w₀wₐCDM | Late | w = -1 exactly |
| Late DE transition | Late | Scalar + w ≠ -1 |
| Decaying dark matter | Late | New decay products |
| Interacting DE-DM | Late | Dynamical DE field |
| f(R) gravity | ModGrav | Extra scalaron DOF |
| Brans-Dicke | ModGrav | Extra scalar (dilaton) |
| Massive gravity | ModGrav | Changes n_grav |
Compatible Solutions (6)
| Solution | Category |
|---|---|
| Varying electron mass | Early (no new species) |
| Primordial magnetic fields | Early (no new species) |
| Cepheid calibration systematic | Systematic |
| SNe Ia standardization | Systematic |
| Local void / cosmic variance | Systematic |
| Photometric zero-point errors | Systematic |
ALL compatible solutions are either systematics or exotic non-particle effects.
The Prediction
The framework makes a sharp, falsifiable prediction about the biggest open question in cosmology:
The Hubble tension is NOT caused by new particles, dynamical dark energy, or modified gravity. It must be resolved by systematic errors in the distance ladder or by subtle non-particle effects.
How to test this:
- DESI/Euclid confirm w ≠ -1 → framework falsified
- CMB-S4 finds ΔN_eff > 0.1 → framework falsified
- New particle discovered at collider → must survive V2.346 species test
- SH0ES systematic identified → framework confirmed
Comparison With Other Frameworks
| Framework | H_0 | Tension solutions allowed |
|---|---|---|
| ΛCDM | 67.4 (fit) | All (Λ is free) |
| String landscape | any (10^500) | All (no constraints) |
| LQG | none | All (doesn’t predict Λ) |
| This framework | 67.5 (computed) | Only systematics + non-particle |
Critical Assessment
Strengths:
- Only framework that excludes most H₀ solutions from first principles
- Falsifiable: if a “new physics” solution is confirmed, framework fails
- Connects particle physics constraints to cosmological puzzle
Weaknesses:
- The framework doesn’t solve the Hubble tension — it predicts it’s a systematic
- If the tension is real (new physics), the framework is in trouble
- “Varying m_e” and “primordial magnetic fields” are themselves speculative
The bet: The framework stakes its credibility on the claim that no new light particles exist. This is the boldest possible position on the Hubble tension, and it is uniquely testable.
Files
src/hubble_tension.py— Solution catalog, H₀ prediction, N_eff scantests/test_hubble.py— 9 tests, all passingrun_experiment.py— Full analysis (7 sections)results.json— Numerical output