Chronoscalar Gradients Across the Galaxy: Void–Filament Distortion and Stellar Machian Torque as a Probe of the Cosmic T-Field

Abstract

Chronoscalar Field Theory (CFT) predicts that the universe is permeated by a scalar time field T(x) whose gradient and Hessian govern the formation of structure through mechanisms inaccessible to metric-only theories. Filaments, voids, stellar rotation histories and planetary resonance architectures emerge as projections of the chronoscalar Hessian ∂i∂jT onto the local gradient direction ni = ∂iT/|∇T|. In a companion paper we extracted the effective chronoscalar period Peff from 46 multiplanet systems in the NASA Exoplanet Archive and introduced the dimensionless distortion ratio η = Peff/P⋆ as an observational measure of Machian torque acting on stellar envelopes. Here we extend that analysis and demonstrate that η is an extraordinarily sensitive tracer of the Galactic chronoscalar gradient. Systems residing in or near cosmic filaments exhibit η ≪ 1, while those in void-like regions retain η ≈ 1, recording their primordial chronoscalar state. We develop the full chronoscalar evolution equation in a galactic context, derive the torque coupling between stellar spin and the cosmic T-Hessian, and show how the all-sky distribution of η(l, b) constitutes a tomographic probe of the Milky Way’s chronoscalar flow. We additionally present theoretical predictions for the void–filament contrast, quantify the expected angular correlations and describe how exoplanet systems function as microscopic accelerometers of the T-field.

Keywords