The Principle of Thought in the Brain: Constraint-Induced Stability and Hemodynamic Gauge Fields

This work introduces a unified framework that interprets matter as an internal subjective field and space as an external radiative field, both defined by the boundary of closed surfaces. Within such enclosures—ranging from electrons and nuclei to organs like the brain and sensory systems—physical variables (volume, pressure, temperature, composition) are maintained at constant values, expressed mathematically as fn(x)=0. Confinement under these conditions produces inevitable internal unevenness, generating subjectivity, consciousness, distortion, and gauge-like phenomena. In contrast, the external domain, where fn(x)≠0, lacks strict constraints. Physical variables diversify, and distortions are released as radiation, forming the external continuum identified as space. This dual structure—stability within, radiation without—renders longstanding mysteries across disciplines more comprehensible. Applications are discussed across multiple fields: in physics, the closed surface of the electron stabilizes charge distributions internally while electromagnetic waves radiate externally; in chemistry, reaction selectivity arises from constraint-induced convergence of internal solutions; in physiology, the brain exemplifies homeostatic confinement that sharpens cognition and generates consciousness; and in geoscience, the Earth concentrates mass and energy inward while radiating heat and fields outward into space. By linking internal confinement and external radiation through closed-surface geometry, this theory offers a common explanatory basis for previously fragmented domains. It reframes matter, space, and cognition as complementary aspects of the same principle: the duality of internal subjectivity and external radiation.