Multivector Temporal Operators Canonical Statement, Projection Theorem And Operator Algebra

Philip Lilien

Published Mar 25, 2026• 0 citations

Abstract

Across classical mechanics, relativity, and quantum theory, time is treated as a single scalar quantity. Whether absolute, relativized, or parametrized, time is assumed to befundamentally one-dimensional. This assumption is rarely examined because it is inherited rather than derived. Yet this single-time ontology fails systematically. It cannot simultaneously account for cyclic phenomena, quantum indeterminacy, coherence decay, biological rhythm, and the stability of structured persistence without introducing auxiliary principles that remain external to timeitself. The result is a patchwork: time is absolute in Newtonian mechanics, geometrized in relativity, external to dynamics in quantum theory, and effectively reintroduced through decoherence and measurement postulates. These inconsistencies do not arise from empirical failure but from an ontological overcompression. A single scalar parameter is being asked to perform multiple irreduciblefunctions.

DOI: 10.5281/zenodo.19224821

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