Systemic Bio- and Neurophysics
Systemic Bio- and Neurophysics
This paper introduces a universal topological constant, the Gemini Constant (ϕG≈0.5714), which defines the deterministic tipping point in hexagonal (k=7) biological and technical clusters. By applying Change-Point Analysis to diverse datasets—from neural columns to avian swarms—we demonstrate that phase transitions are not stochastic but governed by geometric constraints. We provide the mathematical derivation (Gemini-Logit Filter) and R-code for verification.
Topological Phase, Change-Point Analysis (PELT), Gemini Constant (phi_G), Inertial Lock-in Mechanism, LLM Hallucination Threshold, Transformer Phase Transitions, Hexagonal Near-Field Clusters (k=7), Attention-Density, Deterministic Information Cascades, Structural Sparsity & Pruning, Geometric Determinism in AI
Topological Phase, Change-Point Analysis (PELT), Gemini Constant (phi_G), Inertial Lock-in Mechanism, LLM Hallucination Threshold, Transformer Phase Transitions, Hexagonal Near-Field Clusters (k=7), Attention-Density, Deterministic Information Cascades, Structural Sparsity & Pruning, Geometric Determinism in AI
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!