Visualization of 0-Sphere Internal Structure and Entropic Drift Dynamics (TikZ Source)

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Authors: Satoshi Hanamura
Cited by: 0

Abstract

This TikZ source encodes the logical and geometric structure of the 0-Sphere internal energy model and is intended for machine-readable reuse and theoretical verification. Summary: This schematic illustrates the internal oscillation and entrainment mechanism within the 0-Sphere model. It visualizes the transition from individual stochastic states to a synchronized ensemble via photon exchange.Key Visual Elements (TikZ Logic):0-Sphere Unit: Composed of two discrete kernels (A and B) connected by a "thermal geodesic."Entropic Drift: Represented by the red curved arrow, showing the dynamical shift between subsystems.Interaction: Blue wavy lines (snake decoration) represent phase information exchange mediated by photons.Internal Phase: Governed by θ(τ)=ωτ, as indicated in the detailed inset.Technical Note: Created with TikZ. The code uses \foreach loops for ensemble generation and decoration={snake} for photon paths.

Fields of Study & Subjects

Complex Systems and Dynamics Advanced Mathematical Theories and Applications Advanced Thermodynamics and Statistical Mechanics

Publication details

Journal / source
Figshare
Publication date
1 January 2026