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The 1/4 coefficient in the Bekenstein–Hawking entropy S = kBA/4ℓP2 — computed microscopically by many quantum-gravity programs — is shown to arise purely from the causal geometry of any null boundary in a four-dimensional Lorentzian spacetime. A heuristic accessibility argument is backed by a geometric derivation from the canonical symplectic structure on the cotangent bundle and the causal splitting of the space of null rays; no gravitational field equations are invoked.
Published in Classical and Quantum Gravity, 2026 · DOI 10.1088/1361-6382/ae7fe8
A black hole horizon carries exactly one nat of information per Planck cell. Taking entropy as irreducible uncertainty at the Planck scale and the horizon as a complete scrambler, N = A/ℓP2 independent cells give Ω = eN, so S = N. Multiplied by the kinematic factor 1/4 — the causally accessible fraction of the null phase space, established in the companion CQG paper — this returns the Bekenstein–Hawking entropy SBH = A/4ℓP2.
Published in Europhysics Letters, September 2026 · DOI 10.1209/0295-5075/aea930
Under Review
First protocol to reconstruct the inverse-temperature four-vector βμ as a unified observable from passive electromagnetic fluctuation correlations — enabling the first direct test of Lorentz covariance of the thermal state.
Foundations of Physics (Springer) · submitted August 2026
Irreversibility from the intersection of quantum mechanics and classical chaos: chaos amplifies irreducible ℏ-scale uncertainty until time-reversed trajectories fall below quantum resolution and become physically inaccessible, despite remaining mathematically valid.
Scientific Reports · minor revision
Reconceives knowledge as well-calibrated credence, dissolving Gettier cases and Hume's problem of induction. The epistemic core of the Bayesian-epistemology program.
Analysis (Oxford University Press) · double-anonymous · submitted July 2026
A theory is scientific iff it can be meaningfully revised by evidence — an updateability criterion that supersedes falsifiability.
Erkenntnis (Springer) · major revision submitted September 2026
Sub-linear O(d0.67) scaling through 1024+ dimensions, with a 100–1000× speedup over PolyChord/MultiNest. Reframed around Bayesian evidence computation for a statistics readership.
Statistics and Computing (Springer) · submitted July 2026
A GPU-native memetic population optimizer (Convergence–Halt–Invert–Stick–And–Oscillate) that runs a whole sample batch at once, freezing confirmed modes while the rest escape local traps through a convergence–anticonvergence oscillation. 100% mode recovery across all 42 SFU benchmark functions through d=64 — where CPU baselines collapse at d≥8 — at up to 34–39× speedup, and reliable under likelihood noise up to σ=1.0. Open-source via chisao on PyPI.
Swarm and Evolutionary Computation (Elsevier) · submitted June 2026
In Revision & Between Venues
Coordinate-free derivation of the Hawking–Unruh spectrum from the inaffinity eigenvalue equation alone — no metric, no Kruskal construction. Being recast as a letter, foregrounding its novelty against Israel (1976), now that both companion entropy papers are published.
The Bayesian polarization literature asked the wrong question. Common-evidence convergence theorems fail because partisan media ecosystems violate their premise at scale — responsibility shifts from individuals to institutions.
The implicit Turing test: a system is intelligent iff it can detect that its own interpretive frameworks have failed and revise them under world-pressure. Gödel, Turing's halting problem, and the Löbian obstacle become one diagonal argument — external grounding is the only resolution that doesn't relocate the regress. Journal version being re-aimed; conference variant accepted at MoC7 (below).
Dissolves the Boltzmann brain hypothesis via information propagability and Liouville's theorem. Two horns: ex-nihilo formation is forbidden by symplectic structure; Poincaré-recurrence variants cannot ground the skeptical hypothesis the literature requires.
Goodman's new riddle of induction — why project "green" not "grue" — resolved physically rather than linguistically: projectible predicates are those preserved under the symmetries of physical law. Split off from the demarcation paper, where a referee called the argument "very much original and worthy of consideration."
Conferences & Talks
Talk bundling three results — Loschmidt resolution (Krylov-space proof), 1/4 from symplectic reduction, horizon thermality from inaffinity eigenvalues — into a single geometric story about what any observer can ever know.
SigmaPhi 2026 · Kolymbari, Crete · contributed talk, 9 July 2026
Conference variant of the Reality Wins program — focused on the architectural requirements of grounded artificial cognition.
Models of Consciousness 7 · University of Copenhagen · October 2026 · accepted; not attending