Treffer: Towards a Recursive Attractor Model of Structure Across Scales.
Title:
Towards a Recursive Attractor Model of Structure Across Scales.
Authors:
Publication Year:
2025
Subject Terms:
Complex systems, Astronomical sciences not elsewhere classified, Atomic and molecular physics, Other physical sciences not elsewhere classified, Golden Ratio (φ), Golden angle radial, phyllotaxis geometry, pitch angle value, Galaxies -- Formation, Atomic spectra, recursive algorithm suggested, Fine-Structure Constant, coherence design, Falsifiability in relativistic physics, preregistration plan
Document Type:
Report
report
Language:
unknown
DOI:
10.6084/m9.figshare.30121675.v1
Availability:
Rights:
CC BY 4.0
Accession Number:
edsbas.39A0FED3
Database:
BASE
Weitere Informationen
Systems that balance integration and novelty may minimize a recursive interference functional, selecting the golden ratio (φ≈1.618) as a statistical attractor. We formalize this with a complex balance field Φ=ρe^{iθ} whose phase relaxes to the golden angle θ_φ≈137.5°. The framework yields five falsifiable predictions across astrophysics, botany, atomic physics, and neuroscience, and proposes a tree-level anchor for the fine-structure constant, α_anchor^{-1}=4πφ^5, with Standard Model loop corrections bridging the remaining 1.7% to CODATA. Each prediction is paired with explicit falsifiers, preregistered tests, and confidence intervals. We present this as a program of research, not a completed theory.