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0.23_Unity_Scale_Link

README.md

layout article
title UET Topic 0.23: Unity Scale Link
description Research module for scale-link structure within the Unity Equilibrium Theory framework.

0.23 Unity Scale Link

Note

AI-Digest: This topic tests whether UET can reuse a common functional structure across domains without pretending that one fixed parameter set works everywhere. Current evidence supports an exploratory structural scale-link hypothesis, while parameter unity, external prediction, and grand-unification claims remain open.

Status Standard Claim_Class

1. 5x4 Grid Structure

Pillar Purpose
Doc/ Analysis of cross-scale structure, Planck boundary hypotheses, and scale-link assumptions.
Ref/ Scale invariance, holography, renormalization, complex-system scaling, and allometry references.
data/ Topic-local cosmology, scale-mapping, unified-system, and finance snapshots.
Code/ Engine, proof/falsification, cross-domain research, implementation, and enhancement experiments.
Result/ Machine-readable verifier artifact and generated scale-link logs.

Theory Role Diagram

flowchart LR
  T13["0.13 Thermodynamic Bridge<br/>Landauer/Bekenstein constraints"] --> BETA["beta / information-energy interpretation"]
  CORE["UET core functional<br/>Omega[C]"] --> NORM["Domain normalization<br/>C -> C_norm"]
  NORM --> OMEGA["Omega score across selected domains"]
  OMEGA --> STRUCT["Structural scale-link hypothesis"]
  OMEGA --> FAIL["Fixed-parameter falsification"]
  T05["0.5 Nuclear Binding"] --> KAPPA["kappa calibration table"]
  T06["0.6 Electroweak"] --> KAPPA
  KAPPA --> FAIL
  STRUCT --> T00["0.0 Integration Index"]
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Evidence And Dependency Matrix

Layer Current status Evidence path What strengthens the theory next
Core mechanism Same Omega implementation can evaluate normalized fields Code/01_Engine/Engine_Unity_Scale.py, FORMULA_AUDIT.md Define dimensional contracts so normalized comparisons do not erase physical scale.
Data Source-referenced local finance snapshots plus synthetic galaxy/neural fields DATA_MANIFEST.md, data/03_Research/source_lock_manifest.json, docs/data/external/finance/yahoo_snapshots/0_23_unity_scale_link/source_manifest.json Add reproducible Yahoo query logs/retrieval timestamps and replace synthetic neural fields with real EEG.
Formula Reviewed formula audit now separates Omega form, normalization, kappa-running, falsification, and cross-domain tests FORMULA_AUDIT.md Link each calibration to upstream topic artifact and uncertainty.
Verification Primary verifier writes structured artifact with test metrics and warning reasons VERIFICATION_SPEC.md, Result/artifacts/0_23_unity_scale_link_verification.json Add real external EEG/finance/cosmology source packages and fixed thresholds.
Dependency Inherits 0.13 bridge limitations and calibration status from 0.5/0.6 METHOD.md, LIMITATIONS.md A dependent claim cannot exceed the weakest required source topic.

Current Research Claim

  • Supported now: UET has a reusable computational form for normalized fields, and fixed parameter unity is explicitly falsified by the topic's own diagnostics.
  • Not established yet: full theory-wide integration, a universal fixed kappa, vacuum-energy closure, or held-out external cross-domain prediction.
  • Main value: 0.23 should serve as a scale-dependency map that shows where UET can reuse structure, where parameters must run, and which upstream topic artifacts each claim inherits.

Test Results

Test Question Current result Status
Shared Omega form Can the engine compute a common normalized functional? Runs on generated/embedded examples WARN
Fixed parameter unity Does one kappa work everywhere? Falsification says no PASS as blocker
Scale-dependent kappa Do selected points suggest a running pattern? Hand-selected exploratory curve WARN
Cross-domain transfer Does galaxy-like kappa separate generated neural states? Synthetic check passes WARN
Finance comparison Does local SP500 snapshot produce comparable Omega diagnostics? Source-metadata manifest plus local snapshot WARN

Quick Start

.venv\Scripts\python.exe docs\topics\0.23_Unity_Scale_Link\Code\03_Research\Research_Cross_Domain.py

Key Files

  • FORMULA_AUDIT.md: formula, unit, constant, proof-status, and failure-mode registry.
  • DATA_MANIFEST.md: local datasets, source-lock gaps, and provenance status.
  • VERIFICATION_SPEC.md: primary verifier command, metrics, thresholds, and artifact path.
  • METHOD.md: method, dependency layer, and domain-of-validity statement.
  • LIMITATIONS.md: claim boundary and blockers before paper-facing use.

Core hardening status: formula-audited, verifier-artifact enabled, finance source metadata pinned, reproducible retrieval and real EEG source-lock still open.