Introduces the epistemic Péclet number, predicting structural behaviors in mathematical objects, suggesting new insights into engagement.
The void framework's three conditions (opacity, responsiveness, coupling) apply to epistemic objects — mathematical constants, open problems, and meta-structures. This paper introduces the epistemic Péclet number, scores 22 mathematical objects on (O, R, α) coordinates, and derives five structural predictions. Key results: π and the Riemann Hypothesis score Pe=43.89 (Fisher Runaway); the Continuum Hypothesis scores Pe=-4.22 (constraint-dominant); proof events are modeled as O-collapse phase transitions (FLT: ΔPe=-46.85). The α dimension tracks compounding engagement, not independence — the reversal of naive intuition. Validated by MATH-VOID-01 Python simulation (5/5 PASS).
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Anthony W. Eckert (2026) studied this question.
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