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Published April 13, 2026 | Version 1.0

On Finite Execution and the Rate Limit of Nature's Laws: A Response to Gödel's 'An Example of a New Type of Cosmological Solution of Einstein's Field Equations of Gravitation' (1949)

Authors/Creators

  • 1. MendozaLab, Waldport, Oregon, USA

Description

Gödel's 1949 rotating-universe solution demonstrates that Einstein's field equations admit spacetimes with no global time function and no universal execution order for dynamical laws. We argue this result exposes an unexamined assumption in all fundamental physics: that laws enforce themselves instantaneously. We propose that Maxwell's displacement current — added in 1861 to restore internal consistency to Ampère's law under time-varying conditions — is the first known instance of a finite-rate correction term appearing explicitly in a fundamental law, and that the finite propagation speed of light is a direct consequence of that term. We conjecture that every self-consistent dynamical law requires an analogous minimum closure term encoding a finite enforcement rate, and that the universal candidate value for that rate is M = tP−1 ≈ 1.855 × 1043 s−1, the inverse Planck time. This is a position paper; no theorems are proved. All conjectures carry explicit falsifiers.

Notes

v1.0 — April 2026. Position paper with explicit falsifiers. No theorems are proved. Companion program (Mendoza's Limit: MDL Closure Universality) in preparation.

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Related works

References
Journal article: 10.1103/RevModPhys.21.447 (DOI)
Journal article: 10.1103/PhysRevD.46.603 (DOI)
Journal article: 10.1016/S0167-2789(98)00054-2 (DOI)
Journal article: 10.1147/rd.53.0183 (DOI)

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