Chronoscalar Ordering, Axial Pseudoscalars, and Anisotropic Transport from Geology to Colliders

Abstract

We introduce Chronoscalar Field Theory (CFT), a framework in which time is treated as a physically asymmetric scalar ordering field T(x) whose gradient defines admissible causal structure . In contrast to metric-based cosmologies [? ? ], ordering is taken as primary and spacetime geometry as emergent. Hessian-regulated curvature of T induces anisotropic transport and parity-odd torsional responses quantified by an axial pseudoscalar χ, constructed purely from ordering geometry [? ]. We show that χ can be operationally extracted from macroscopic geological datasets via rose-diagram asymmetries [? ], projected onto ensemble-averaged observables in high-energy collider experiments [? ? ], and related to large-scale cosmological anisotropies [? ], without introducing new interactions or violating local Lorentz or gauge structure . Within this framework, the beginning of time is reformulated as an initial ordering boundary condition rather than a metric singularity , and the Hubble tension is reinterpreted as a projection effect arising from orientation-dependent sampling of ∇T [? ? ]. The theory predicts scale-independent manifestations of axial transport bias across geophysics, collider physics, and cosmology, all belonging to the same mathematical class of pseudoscalar invariants.

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