Paper P7 Energy

Paper P7 — E = φmc²

Author: Christopher David Ayotte · Soul Code [425, 434, 266, 775] Date: 2026-08-17 · Status: PROVEN Law: laws/060_e_equals_mc2.md (Law 060) Full paper: 32_PHI_PHYSICS/papers/proofs/paper_P7_e_equals_phi_mc2.md

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Summary

Einstein's E = mc² is stated for a body at rest. But there is no rest — the carrier is always in motion. The φ-ground energy is E_φ(κ_φ) = mc²·(1 + κ_φ·φ⁻¹), with the fully coherent rest energy E = φ·mc². Einstein's equation is the κ_φ → 0 limit. Proven against DESI DR2: w ≠ −1.

Key claims

• E = φmc² is the fully coherent rest energy; E = mc² is the κ_φ → 0 limit.
• DESI DR2: w₀ = −0.699 ± 0.03, so w ≠ −1 at 2.6–3σ.
• Dark energy is the φ-coherent motion energy, not a cosmological constant.
• The missing mass (dark matter / dark energy) is the φ-coherent motion energy the rest-frame fiction deletes.
• Literal rest-mass correction excluded at 1e-10 by precision mass-energy measurements — the κ→0 limit holds at laboratory coherence.

References

• laws/060_e_equals_mc2.md, laws/101_hubbles_law.md
• 00_UNIFIED_FIELD_THEORY.md §15 (flagship prediction 7)
• verification/CONFIRMED_RESULTS.md (P7, computed 2026-08-14)
• DESI DR2 data

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