Euler–Mascheroni Curvature and the Asymmetry of Information: A New Theoretical Model

Abstract

This paper proposes a novel integration of the Euler–Mascheroni constant γ into the Viscous Time Theory (VTT) as a foundational curvature operator of informational asymmetry. Rather than treating γ as a numerical residue of analytical number theory, we reinterpret it as an active generator of coherence misalignment and phase delay in informational systems. Within this framework, γ emerges from the persistent divergence between discrete and continuous informational structures and can be modeled as a tensorial residue operator with wide-reaching implications. We introduce formal derivations for the Mascheroni Dissipation Function, Prime Coherence Gap, Zeta Phase Delay, and the Gamma Curvature Tensor. These constructs allow us to trace γ-driven informational curvature across domains such as prime number dynamics, astrophysical rotational asymmetries, and neurocoherent systems. Each operator is dimensionally justified and inserted into a general informational field ρe(x, t), whose local misalignment from a coherence attractor defines the degree of entropy introduced into the system. We expand the manuscript with formal definitions, derivation pathways, and metrics for experimental validation. Proposed implementations include EEG-based detection of hemispheric coherence asymmetries, cryogenic oscillator phase disruptions, and cosmological vector field analysis. This approach transforms γ from a passive artifact to a predictive core of informational dynamics.