Chronoscalar Curvature as a Unified Anisotropy Mechanism from Fe-Based Nematicity to Compact-Object Dynamics

Abstract

Nematicity in Fe-based superconductors lacks a microscopic mechanism capable of explaining its stability, orientation, and universality. Orbital, spin-Ising, and structural theories capture partial aspects, but none reproduce the invariant nematic axis or the cross-material scaling of Ts. We demonstrate that the chronoscalar field T(xμ), possessing a cosmological gradient ∇T measured in CFT XIV (aixiv:251204.000007), imprints a transverse curvature tensor Kij = ∂i∂jT onto the Fe plane. Projection of (dxz, dyz) orbitals onto the transverse manifold S2T induces topological winding with charge n = ±1, selecting the nematic axis before electronic interactions act. A geometric stiffness law Ts ∼ |∇T|d−1 collapses all Fe families onto a universal curve. Remarkably, the same curvature tensor also governs anisotropy in pulsars, magnetars, AGN jets, and black-hole photon rings, implying that nematicity is a quantum-scale manifestation of a cosmic geometric field. A global σ-fit constructed from laboratory, astrophysical, and horizon-scale observables yields a coherent chronoscalar parameter set, with no singularities and a universal Machian projection.

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