• kristintynski 15 hours ago |
    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

  • Jblx2 14 hours ago |
    Paywall. Unfortunately, in this day-and-age, the question arises: how much of this was generated by AI agents?

    https://news.ycombinator.com/item?id=44907440#44907441

    • LargoLasskhyfv 3 hours ago |
      For me, at least with desktop Firefox with uBlockOrigin, I can scroll through the full 17 pages to the bottom. Without having to 'login' with/via whomever.