TITLE:
Information Geometry, Coherence, and the Emergence of Time: A Cross-Domain Analysis from Cosmology to Physiology
AUTHORS:
Michele Bianchi
KEYWORDS:
Information Geometry, Jensen-Shannon Distance, Coherence, Epistemic Structuralism, Spectral Analysis, Cosmology, Physiology, Emergence of Time
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.12,
December
19,
2025
ABSTRACT: This paper develops an information-theoretic framework for analysing empirical spectra across cosmology, physiology, and astrophysics by recasting them as normalized probability densities and quantifying model adequacy through the Jensen-Shannon distance (JSD), a bounded metric from information geometry. Across the Cosmic Microwave Background (CMB), human heart-rate variability (HRV), and JWST NIRSpec data, we identify a robust cross-domain gradient of informational coherence: CMB spectra lie closest to parsimonious envelopes, HRV spectra show intermediate coherence, and high-resolution JWST spectra exhibit maximal differentiation. This hierarchy spans nearly two orders of magnitude in JSD and remains stable under bootstrap resampling and model variations. We interpret these results as evidence that coherent systems occupy restricted regions of informational space, whereas local complexity and decoherence drive spectra toward higher informational curvature. In this view, temporal asymmetry may reflect increasing informational distinguishability rather than specific dynamical laws. The framework does not propose a new physical theory, but offers a quantitative, information-geometric basis for investigating structural constraints on order, complexity, and the emergence of time.