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)
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.
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Mendoza_Godel_Response_v1.0_April2026.pdf
Additional details
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)
Subjects
- General relativity and quantum cosmology
- http://id.loc.gov/authorities/subjects/sh85053969
- Foundations of physics
- http://id.loc.gov/authorities/subjects/sh85101653