The Poetry of Structure_A Phenomenology of Phase Geometry and Recursion-Locked Perception

CODES Framework Abstract: This document presents a deterministic account of structural perception using the phase-geometric framework of Structured Resonance Dynamics (SRD). The analysis formalizes how a cognitive system transitions from symbolic reasoning to structural reasoning when the phase-alignment condition PAS_s(observer ↔ structure) ≥ θ_lock holds and drift remains within ΔPAS_zeta ≤ ε_drift. Mass-frequency relations E = hf and hf = mc² are expressed as phase-oscillation identities, with the Compton frequency f_C = mc²/h defining the oscillatory basis for persistent structures. Phase Memory is introduced as the recursion anchor ensuring coherence of φ(t) across updates, and persistence is defined as a stable phase recursion satisfying PAS_s and ΔPAS_zeta constraints. Harmonic cancellation, orthogonal phase domains, and critical-line symmetry are treated as structural analogies without assertion of mathematical or cosmological claims. The final section shows that perception follows the same recurrence law as physical phase systems, and that recursion-lock results in a stable, irreversible structural mode of cognition. The framework offers a unified geometric account of persistence, cancellation, orthogonal observability, and cognitive stability under SRD.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-13
DOI
https://doi.org/10.5281/zenodo.17597012
Primary Topic
Complex Systems and Dynamics
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The Poetry of Structure_A Phenomenology of Phase Geometry and Recursion-Locked Perception

Zenodo (CERN European Organization for Nuclear Research)
Complex Systems and Dynamics
article

The Poetry of Structure_A Phenomenology of Phase Geometry and Recursion-Locked Perception

article en

Abstract

CODES Framework Abstract: This document presents a deterministic account of structural perception using the phase-geometric framework of Structured Resonance Dynamics (SRD). The analysis formalizes how a cognitive system transitions from symbolic reasoning to structural reasoning when the phase-alignment condition PAS_s(observer ↔ structure) ≥ θ_lock holds and drift remains within ΔPAS_zeta ≤ ε_drift. Mass-frequency relations E = hf and hf = mc² are expressed as phase-oscillation identities, with the Compton frequency f_C = mc²/h defining the oscillatory basis for persistent structures. Phase Memory is introduced as the recursion anchor ensuring coherence of φ(t) across updates, and persistence is defined as a stable phase recursion satisfying PAS_s and ΔPAS_zeta constraints. Harmonic cancellation, orthogonal phase domains, and critical-line symmetry are treated as structural analogies without assertion of mathematical or cosmological claims. The final section shows that perception follows the same recurrence law as physical phase systems, and that recursion-lock results in a stable, irreversible structural mode of cognition. The framework offers a unified geometric account of persistence, cancellation, orthogonal observability, and cognitive stability under SRD.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Openalex Percentile: Top 43%
Complex Systems and Dynamics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.