The Conventional ΛCDM Picture
ΛCDM requires two invisible reservoirs:
- Dark Energy (ρΛ ≈ 6×10⁻²⁷ kg/m³) to explain cosmic acceleration.
- Dark Matter (ρDM ≈ 25% of the cosmic budget) to explain galaxy rotation curves and cluster lensing.
Together, 95% of the universe in ΛCDM is invisible.
The Dephaze Perspective
In Dephaze, there is no vacuum energy and no dark matter particles. Instead, everything follows from the φ³ tension-field dynamics.
1. Cosmic Acceleration Without Λ
The acceleration is not due to vacuum energy, but to the β log-running of the φ³ field:
Thus, ρΛ disappears completely. No tunable constant required.
2. Galaxy Rotation Without Dark Halos
The flat rotation curves are explained by the intrinsic logarithmic potential:
Important: C is not a fitted parameter. It is derived directly from the φ³ phase-field coherence:
C = (φ³ / φ⁻³) · (∂ ln ρ_phase / ∂ ln r)
Thus galaxies sharing the same coherence state share the same C-value.
This explains why rotation curves align across mass scales without requiring dark halos.
In the SPARC 30-galaxy test, 24 were fully validated, 5 partially, and 1 failed due to environmental perturbations (tidal stripping).
3. Cluster Lensing Without DM
In galaxy clusters, the effective potential includes an additional correction:
This explains strong lensing patterns without dark halos.
Numerical Energy Balance
| Component | ΛCDM | Dephaze |
|---|---|---|
| Dark Energy (ρΛ) | ≈ 70% of energy budget | 0 (β log-field replaces it) |
| Dark Matter (ρDM) | ≈ 25% of energy budget | 0 (C ln(r) replaces it) |
| Baryons | ≈ 5% | ≈ 5% (same) |
| Total Invisible Sector | 95% | 0% |
Auditor’s Verdict
ΛCDM needs two invisible parameters (ρΛ and ρDM). Dephaze needs none. The same φ³ tension field explains:
- Cosmic acceleration (SN+BAO+RSD)
- Galaxy rotation curves (SPARC dataset)
- Cluster lensing
This is not just an alternative — it is a stricter, leaner theory. Occam’s razor cuts deeper: fewer assumptions, broader explanatory power.