Theoretical Framework

This section outlines the theoretical foundations of CH-ToE: the physical definition of knowledge, the role of λ, and the unification of structure-forming transitions across domains.

CH-ToE proposes that reality behaves as a system of entropy regulation — where structure arises only when uncertainty is reduced under specific constraints. The central claim is that knowledge is not semantic, symbolic, or subjective, but instead a physical quantity defined as:

\[ K = -\Delta S \]

Only entropy reductions that are compressible, recurrent, and predictive count as knowledge events.

Lambda: A Universal Structuring Constant

Across quantum systems, evolutionary processes, and artificial intelligence, CH-ToE identifies a shared cadence in the emergence of structure. This cadence is defined by a dimensionless constant:

\[ \lambda = \frac{\sqrt{8}}{\varphi} \approx 1.748 \]

λ represents the threshold at which entropy reduction transitions into organized, persistent structure. It arises from geometric recursion and entropic symmetry — and recurs across otherwise disjoint domains.

From Collapse to Cognition

When \( dK/dt \geq \lambda \), systems stabilize and structure emerges. When they do not, systems remain brittle or dissolve. CH-ToE classifies the following phase shifts as manifestations of this structuring threshold:

What CH-ToE Is and Isn’t

CH-ToE is a falsifiable and predictive framework grounded in thermodynamics, information theory, and geometry. It does not introduce new metaphysical categories — only a new way to interpret and link phase transitions across science.