FOLDER MATH SUMMARY
Auto-Generated Index of equations found in:
04_Theoretical_Framework
Ring 2 — Canonical Grounding
Ring 3 — Framework Connections
📄 FORMAL_THESIS_Moral_Coherence_Analysis
2.3 Combined Scoring
Combined Score = (UTDGS Score + Normalized Fruits Score) / 2
📄 Moral_Collapse_Framework
6.2 Variable Definitions
f(?"?) = a ? ?"?? ? e^(??"?)
R(?) = ? ? ? ? (1 - e^(-d??))
7.1 Testable Predictions
?"?(t+t) = ?0 + S? ?? ?"?(t) + e
📄 P 02 The Variable Substitution
The Constraint Removal Function
P(t) = P??? ?? ?????? [1 - ????? ?? H(t - t???)]
📄 P 03 The Nine Domains of Social Coherence
Computing ?
z?(t) = [x?(t) - ??] / s?
?(t) = (1/9) ? S? z?(t)
📄 P 05 Implications and Falsifiability
The Question of Reversibility
d?/dt = -?? + G(t) - S? d(t - t?)??"??
📄 THE COHERENCE MODEL - CORE MATHEMATICS
THE COHERENCE MODEL - CORE MATHEMATICS
?(t) = ?0 ? exp(-?t) ? ??[1 - H?(t-t?)]
dE/dt = -aD(t) + ?C(?,?)
📄 THE MATHEMATICAL FRAMEWORK FOR SOCIAL COHERENCE
Definition of ? (The Coherence Variable)
? = ??|?0?
?(t) = (1/N) S? w? ? z?(t)
The Nine Measurement Domains (Fruits of the Spirit Mapping)
z?(t) = [x?(t) - ??(baseline)] / s?(baseline)
The Phase Transition Model
? ? |T - Tc|^? for T < Tc
? = 0 for T > Tc
P(t) = P0 ? ?? [1 - H?(t - t?)]
The Master Equation (Dynamics)
d?/dt = -?? + G(t) - S? d(t - t?)??"??
?(t) = ?0 ? e^(-?t) ? ??[1 - ?"?? ? H(t - t?)] + ?0?-- G(t) ? e^(-?(t-t)) dt
The Cross-Domain Correlation (The Key Test)
R?? = Corr(z?(t), z?(t))
R? = (2/N(N-1)) S?<? R??
The Structural Break Test (Identifying Tc)
P = (5/100)^9 ? 2 ?-- 10???
The Physical Isomorphism (Validation)
M(T)/M(0) = (1 - T/Tc)^?
?(t)/?(1950) = f(t; tc, ->)
Canonical Hub: CANONICAL_INDEX