Theoretical analysis reveals fundamental mathematical contradictions in field quantization on continuous manifolds, highlighting structural flaws in standard renormalization schemes.
This paper presents a formal mathematical and epistemological refutation of canonical and path-integral field quantization protocols. The work demonstrates that forcing discrete quantum operators onto a continuous manifold (R⁴) constitutes a profound category error—an Aristotelian logical refutation showing that the Planck scale is merely the forced discretization of an artificial continuous cosmos. Furthermore, it exposes the foundational impedance mismatch between Schrödinger’s continuous Wave Mechanics and Heisenberg’s native discrete Matrix Mechanics, proving that infinite potentials, ultraviolet divergences, and renormalization schemes serve as unfalsifiable pseudo-scientific hypotheses designed to rescue broken differential equations from collapse.
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Sagar Kapadia (2026) studied this question.
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