Constraint Boundaries and Biological Anomalies: The phi-Deviation Signature of Systems at the Edge of Stable Recursion, the d*=4 Crossover Derivation, and the Unifying Axis from Physics to Pathology

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Abstract

Paper 45 of 45 in the Fibonacci Causal Loop Theory (FCLT) series. Closes the series with three contributions: (1) derives d*=4 as the crossover dimension where phi-scaling breaks down, showing the Wilson-Fisher fixed point merges with the free Gaussian theory at d=4, dissolving the depth-2 P,K generator pairing; consistent with eta = epsilon^2/54 vanishing at d=4 in the epsilon-expansion. (2) Assembles the universal phi-deviation axis from physics fixed points through healthy biology to pathology, unifying results from Papers 02, 03, 30, 32, 43, and 44. Three biological anomaly classes are identified: cancer as necessity depth collapse (confirmed p=6.99e-23, Paper 03); chronic pain as necessity depth…

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22
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Topics & keywords

Keywords
  • Crossover
  • Fixed point
  • Constraint (computer-aided design)
  • Signature (topology)
  • Generator (circuit theory)
  • Series (stratigraphy)
  • Dimension (graph theory)
  • Pipeline (software)
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