The Relaxation Principle: Protologic and the Logical Substrate of Reality

The Relaxation Principle: Protologic and the Logical Substrate of Reality develops a pre‑physical framework in which informational configurations, induced structures, deviation, relaxation, and the unified constraint identity form a single coherent architecture. Information is treated as the primitive substrate. Geometry is understood as its induced expression. Consistency determines which informational configurations can be real.
Deviation measures the mismatch between an informational configuration and the structure it would induce if coherent. Relaxation is the monotonic mapping that reduces this mismatch. Neither concept is temporal or dynamical; both belong to Protologic, the domain of logical prerequisites for coherent reality.
Multiple informational components must co‑induce a single structure. This requirement produces mutual constraint, the structural origin of what physics interprets as interaction, correlation, and coherence. The unified constraint identity closes the architecture. It is not a law or an equation of motion, but the condition that defines admissible reality.
This monograph does not propose a physical theory. It articulates the minimal structure that must hold before physics can begin. Dynamics, laws, equilibration, and directionality appear as projections of deviation reduction onto an induced geometric representation. Protologic is the logical substrate that makes any coherent universe possible.

Version 4.0:
This release contains the complete, stable architecture of Protologic, including corrected front matter, unified section structure, refined appendices, and the final synthesis of the informational–geometric framework.