The Categorical Fallacy of π : Re-Founding Science

Author: Pohl, M.U.E.
DOI: https://doi.org/10.5281/zenodo.18505872
Published: 2026-02-06
Cite as: Pohl, M. U. E. (2026). The Categorical Fallacy of π : Re-Founding Science. Zenodo. https://doi.org/10.5281/zenodo.18505872
Abstract: Classical geometry equates finite, rational quantities (Length, Area, Volume ) with the infinite algorithmic process π. This categorical error – equating determinate measurement with indeterminate limit – is an ontological mistake. Gödel’s incompleteness theorems (1931) prove any arithmetic-containing formal system is incomplete and cannot prove its own consistency. Physics inherits this by treating irrationals as real, manifesting as quantum indeterminacy. The Panvitalistic Theory resolves the fallacy: π becomes dimensioned angular measure (π ≡ 1 s/m or 1/12 s/m), time reduces to curvature (no external dimension), and measurement restricts to rational volume comparisons (VA = xVB, x ∈ Q). It derives c tautologically from Earth’s rotation (no universal constants) and renders quantum indeterminacy an artefact. This axiomatic reset is not optional: modern physics – and empirical science at large – rests on irreparably flawed foundations. The theory offers the only known consistent correction.