id: TDY_COH-CPM_1

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

validation:

✅ Cohered via AFT 20250930

external_discipline: Variational Calculus / Lagrangian Mechanics

analogue_concept: Principle of Least Action / Stationary Action

parity_explanation: The Coherence Functional Integral ($\operatorname{CFI}$) 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 $\operatorname{CFI}$, 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 ($\operatorname{C}$ · Dynamical Coherence Measure)

TDY_COH-E_48 ($\operatorname{COF}$ · Coherence Objective Variational Functional)

TDY_COH-E_79 ($\operatorname{S}_{\mathrm{telic}}$ · Agentic Action Integral)

related_occ:

TDY_COH-OCC_24

related_protocols:

Forensic Cascade Inquiry (FCI)

related_era: [-]

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