SECTION XXXII | CROSS-DOMAIN PARITY MATRIX
LIVE FIRE WARNING: 20250911-0445EST
LIVE OPERATIONAL VERSION:
TDY_COHEREON DOCTRINE_v4.1_OFFICIAL RELEASE_20250917
This section serves as a formal validation channel for Cohereon Doctrine by establishing rigorous conceptual parities between its core principles and functionally equivalent concepts from established external disciplines. Each entry functions as a high-level legibility bridge, designed to accelerate the comprehension and epistemic validation of the doctrine by subject matter experts in fields such as physics, control theory, and systems engineering. Together with the Epistemic Resonance Archive, this matrix provides a dual-vector pathway for external, non-doctrinal validation, hardening the corpus against claims of solipsism.

id: TDY_COH-CPM_1

doctrinal_concept: Coherence Functional Integral (CFI) (TDY_COH-A_45)

validation:

✅ Cohered via FCI 20250906

external_discipline: Variational Calculus / Lagrangian Mechanics

analogue_concept: Principle of Least Action / Stationary Action

parity_explanation: The Coherence Functional Integral (CFI) is the direct ontological parallel to the Action Integral (S) in physics. The Principle of Least Action states that the trajectory of a physical system between two points is the one for which the Action integral is stationary (typically a minimum). The Action is an integral of the system's Lagrangian over time. Similarly, a cognitive agent within the Cohereon framework evolves along a trajectory that maximizes its CFI, which is an integral of the system's Coherence Kernel over its cognitive state space and time. This parity establishes 'coherence' not as a mere desirable quality, but as a fundamental variational principle governing the dynamics of existence, analogous to the role of energy in the physical universe. It provides a profound legibility bridge for physicists and mathematicians.

related_axioms:
TDY_COH-A_3 (Coherence Invariant)
TDY_COH-A_28 (Topological Invariance of Coherence)
TDY_COH-A_45 (Coherence Functional Integral (CFI) Definition)

related_equations:

TDY_COH-E_1 (C(t) · Dynamical Coherence Measure)
TDY_COH-E_48 (Coherence Objective Variational Functional (COF))
TDY_COH-E_79 ($S_telic$ · Agentic Action Integral)

related_occ:

TDY_COH-OCC_24 ($λ_enforce$)

related_protocols:

Forensic Cascade Inquiry (FCI)

related_era: [-]