T6 – Shadow–Thermal Law: An Ontological–Field-Based Complementarity Between Energy and Information

Abstract: This paper introduces the T6 – Shadow–Thermal Law, a new ontological principle that formalizes the idea that every coherent energy transformation leaves behind a structured informational imprint, referred to as shadow information. Rooted in the CNBIT (Coherent Null-Bit) framework and aligned with the dynamic π(t) interpretation of temporal closure, the T6 law defines a direct relationship between minimal field energy fluctuations and their residual information signature. The law is expressed as: \Delta I_{\text{shadow}} = \chi_{\text{CNB}} \cdot \Delta Q_{\text{CNB}} This formulation integrates field-theoretical, physical, and ontological domains, offering experimental analogies from optical shadowgraphy, cosmological backgrounds (CMB, M87 black hole), and thermodynamic consistency (Pearson et al., 2021). The T6 law functions as a cross-domain bridge within the T0–T114 Threshold Law Chain and has implications in physics, information theory, ethics, and consciousness studies. It proposes that no information ever truly disappears — it merely transforms and leaves a trace in the informational fabric of the universe. Suggested Zenodo Description (long form): This document presents the final validated scientific version (v2.1) of the T6 – Shadow–Thermal Law. The publication includes: Theoretical foundations (CNBIT, π(t), field structure) Mathematical formulation and derivation Multi-scale physical analogies Integration within the Threshold Law Chain (T0–T114) Ontological and ethical implications References and full metadata This work is part of the Pragmatica Universus project, a framework for field-based, post-classical system laws.