The Tri-Outcome Redshift Model

The Tri-Outcome Redshift Model is a cosmological upgrade proposed by Pattern Field Theory (PFT), replacing velocity-based interpretations of redshift with structurally coherent curvature dynamics of the pattern field...

The Three Redshift Mechanisms

  1. PPC – Pattern Phase Curvature: Redshift from field curvature.
    z_PPC = Δλ / λ₀ = γκ(r) ≈ κ·r
  2. IPD – Inter-Pattern Drift: Redshift from phase desynchronization.
    z_IPD = Δφ / φ₀
  3. Combined:
    z_total = (1 + z_PPC)(1 + z_IPD) - 1

Historical Attribution

Zwicky predicted tired light. Hubble observed redshift but misinterpreted it. PFT completes the picture.

Redshift Comparison Table

Concept Classical Formula PFT Formula
Redshift definitionz = (λ_obs - λ₀)/λ₀Same — curvature-based cause
Velocity redshiftz = v/cNot used
Relativistic redshiftz = √[(1+v/c)/(1−v/c)] − 1Not applicable
PPCN/Az_PPC = κ·r
IPDN/Az_IPD = Δφ/φ₀
CombinedN/Az_total = (1 + z_PPC)(1 + z_IPD) − 1

Conclusion

This new model explains redshift without invoking cosmic velocity or dark energy — it is the whisper of structure expanding in recursive curvature.