The Epistemic Phase Boundary in the Cognitive Uncertainty Principle

Version 3.0 introduces the epistemic phase boundary in the Cognitive Uncertainty Principle (CUP) — a transition between a local Fisher regime (smooth dynamics, C_Fisher = 1.17×10⁻⁴) and a global KL regime (jump-dominated, C_ε = 1.71×10⁻²). Using cup_scaling_pipeline.py, we show that the uncertainty constant scales with correlation length ξ and resolution ε, collapsing at the critical jump intensity λ_c ≈ 0.01. The canonical bound Δβ · KL ≥ C_β = 3.94×10⁻⁴ remains robust across both regimes, establishing CUP as a universally adaptive law in Subjective Physics.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-04
DOI
https://doi.org/10.5281/zenodo.17370034
Primary Topic
Benford’s Law and Fraud Detection
Type
article
Field-Weighted Citation Impact
0.00
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article

The Epistemic Phase Boundary in the Cognitive Uncertainty Principle

Zenodo (CERN European Organization for Nuclear Research)
Benford’s Law and Fraud Detection
article

The Epistemic Phase Boundary in the Cognitive Uncertainty Principle

article en

Abstract

Version 3.0 introduces the epistemic phase boundary in the Cognitive Uncertainty Principle (CUP) — a transition between a local Fisher regime (smooth dynamics, C_Fisher = 1.17×10⁻⁴) and a global KL regime (jump-dominated, C_ε = 1.71×10⁻²). Using cup_scaling_pipeline.py, we show that the uncertainty constant scales with correlation length ξ and resolution ε, collapsing at the critical jump intensity λ_c ≈ 0.01. The canonical bound Δβ · KL ≥ C_β = 3.94×10⁻⁴ remains robust across both regimes, establishing CUP as a universally adaptive law in Subjective Physics.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 38%
Benford’s Law and Fraud Detection
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The Epistemic Phase Boundary in the Cognitive Uncertainty Principle · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS