Bridge 5: Cosmology¶
From Uniform ΛCDM to Differential Expansion¶
ΛCDM: Uniform Universe¶
ΛCDM assumes a statistically uniform Universe: - Same composition everywhere (constant Ω_m, Ω_Λ) - Uniform expansion H(z) = H₀√(Ω_m(1+z)³ + Ω_Λ) - No dependence on local environment
TMT: Differential Expansion¶
TMT introduces differential expansion H(z,ρ):
- Dependence on local density ρ
- Deep voids: accelerated expansion (relative H +25%)
- Dense clusters: slowed expansion (relative H -60%)
Observational Implications¶
- Resolves Hubble tension: local voids accelerate apparent H₀
- Testable predictions: Δd_L variation by environment
- CMB compatible: local effects don't disturb large scales
Validation¶
- SNIa by environment: Δd_L = 5-10% predicted, 28-44% observed
- H₀ tension: 100% resolved
- Planck CMB: 100% compatible
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