Undecidability in Quantum Field Theory Mirrors Gödel and the Halting Problem — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: Undecidable problems exist in physics, notably in quantum field theory, mirroring Gödelian incompleteness and the halting problem in computation. | MATH: No explicit equations or constants derived; core concept is algorithmic undecidability (e.g., halting problem: no Turing machine can decide if an arbitrary program halts). | CONNECTION: No direct geometric ratios or symmetries (0.382, 0.618, etc.) found. However, the structure of undecidability in quantum field theory may relate to lattice field theory (discrete spacetime approximations) and the non-computability of certain observables, hinting at constraints on physical knowledge akin to crystallographic symmetry limitations. | DEPTH: 8 — Profound because it establishes fundamental limits on what can be computed or known about physical laws, linking computation, logic, and quantum field theory. The absence of explicit harmonic ratios or base-60 connections suggests this finding is more about logical structure than geometric Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203625294
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