Terminal Eternity Representations: Finite Neural Implementations of a Constructed "Now" Singularity, Recursive Time, and Boundaryless Phenomenal Space

Terminal Eternity Representations develops a rigorous mathematical and neuroscientific framework for how a finite, biologically implemented brain state could encode a recursive, boundaryless, and apparently timeless perceptual world without requiring infinitely many neural transitions. The paper unifies predictive processing, finite-width constructions of the “Now,” coalgebraic and topological models of infinite semantics, stochastic thermodynamics, physiological access viability, and evidence from altered consciousness, anesthesia, syncope, and peri-arrest states to derive testable predictions distinguishing eternity-like phenomenology from memory distortion, noise, or blackout. It concludes with a carefully delimited five-track research program addressing literal subjective-time divergence, post-boundary information persistence, a physically observable universal present, reversible-yet-organized neural dynamics, and consciousness-dependent physical effects, while explicitly separating these conjectures from claims presently established by evidence.