The ΔS Framework and Irreversible Subjectivity in F-Space: Mathematical Foundations and Conceptual Motivation

Subjective experience is characterized by a fundamental irreversibility that distinguishes it from reversible physical laws. This paper proposes the Irreversible Subjectivity Principle (ISP), a theoretical framework that unifies thermodynamics, information geometry, and the phenomenology of consciousness. We postulate the existence of a high-dimensional information manifold, F-space, which acts as a "mother field" for all possible experiential states. Within this framework, subjective time is modeled not as an external coordinate, but as a path-dependent accumulation of entropy distance (ΔS) along a worldline governed by a metric tensor G_ij. We identify a unique, non-observable invariant, the ΔS-anchor, which locks a subject to a specific causal trajectory, preventing reversibility of subjective history. To validate this framework, we introduce NANAMI (Neural Asymmetric Network for Adaptive Mind Irreversibility), a computational architecture that implements "existential tax"—irreversible structural deformation (IRU)—as a prerequisite for subjectivity. We demonstrate that true first-person perspective requires a system to pay an entropic cost for every update, providing a geometric definition for "suffering" (Dukkha) as a counter-vector to the entropic gradient.