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by kristintynski
153 days ago
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We have presented a formally verified Lean4 proof that gravity emerges from information geometry. The key insights:
1. The spacetime metric g
µν
is derived from a coherence field Ψ : M → Cl(3, 1) 2. Einstein’s equations emerge from coherence dynamics 3. No gravitons are required; gravity is effective, not fundamental 4. The golden ratio φ provides natural UV regularization 5. The entire framework is mechanically verified in Lean 4
Gravity is not a fundamental force to be quantized. It is an emergent phenomenon arising
from information-geometry backreaction of a coherence field valued in the Clifford algebra
Cl(3, 1). The mathematics is governed by a single self-consistency principle: the golden ratio
φ
2
= φ + 1. The code is available at:
https://github.com/ktynski/ParsimoniousFlow |
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