New framework iteration models time's structure and decay anomalies, suggesting profound implications in physics.
This document presents the fifth iteration of the Temporal Measure Framework (TMF). Physical time is modelled as a measure with locally variable density f(t), reformulated progressively through fiber bundle geometry, stochastic field theory, and — in this version — topological manifold structure. The foundational postulates P1–P5 establish time as a structured measure governing radioactive decay anomalies, grounded in quantum vacuum physics. Seven new postulates P6–P11 and P10a extend the framework: time is a topological surface along which objects traverse geodesics (P6); existence requires energetic sustenance defining the arrow of time (P7); motion detection requires temporal structure, resolving Zeno’s paradoxes at the ontological level (P8); the topological surface can locally fracture due to external factors (P9); observable time is a topological cross-section of an n-dimensional temporal manifold Lⁿ (P10); existence is the realization of a physical object within that cross-section (P10a); fracturing is predictable when compression exceeds a critical threshold (P11). Eight independently reported decay-rate anomalies (p = 0.0011) support the empirical prediction. A geometric discriminant distinguishing the vacuum hypothesis from the solar neutrino hypothesis is proposed.
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Leonas Povilaitis (2026) studied this question.
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