Published January 18, 2026 | Version v2
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The Archive

Description

This dissertation introduces a unified biophysical and epistemological framework that redefines human
cognition not as a passive computational process, but as an active thermodynamic phase transition.
Addressing the fundamental schism between the high-entropy stochasticity of subjective experience
("Chaos") and the low-entropy rigidity of objective mathematical truth ("Crystal"), this research postulates
that Mathematics functions as a pre-existing, zero-entropy informational manifold—termed The Archive.
We propose that the cognitive act of "understanding" is mediated by a specific operator, The Monarch’s Eye,
which functions as a bidirectional transducer capable of mapping noisy physical inputs onto their
isomorphic mathematical duals.


Grounded in non-equilibrium thermodynamics and Landauer’s Principle, this model quantifies the
metabolic cost of this abstraction. We identify a distinct bio-energetic signature—the "Thermal Flash"—a
transient metabolic impulse (ΔT approx. 29 mK) required to bridge the entropic gap between the physical
and symbolic domains. 

Crucially, a meta-analysis of neuro-thermal literature reveals that this predicted signature is not hypothetical but has been consistently observed—yet historically misinterpreted—in mammalian intracranial monitoring.
We identify the 'Kinexis Signal' in the rapid, transient temperature spikes (10 -- 100 mK) recorded by Kiyatkin (NIH) and the thermal-silencing thresholds identified by Schiff (Yale), re-contextualizing these anomalies as the physical exhaust of information erasure rather than mere metabolic byproducts.Through rigorous Stochastic Differential Equation (SDE) modeling and
Langevin Dynamics simulations, we demonstrate that while this "Flash" represents a prohibitive energy
cost for trivial cognition, it yields an efficiency surplus of +37% in deep-complexity scenarios (T > 179s).
Furthermore, the system resolves the dimensionality paradox of thought through a "Simultaneous
Rendering" mechanism, where the Monarch’s Eye generates high-dimensional cognitive superpositions
to decode low-dimensional mathematical truths. Ultimately, Kinexis establishes that intellectual mastery is
not a function of processing speed, but of Thermodynamic Optimization—the ability to utilize memory facilitated 
phase-locking to minimize the metabolic tax of truth.

Other (English)

I am a curious enthusiast who set out with a goal to understand the world. Since I work alone, I have utilized LLM-based drafting for my papers to increase efficiency/save time, although each structuring and edit is under my supervision and approval.

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