Chronoscalar Field Theory XIV: Baryogenesis, Leptogenesis, and Black-Hole Core Formation in a Single Scalar-Gradient Universe

Abstract

Chronoscalar Field Theory (CFT) asserts that the fundamental origin of the Universe is not a metric 3 spacetime, vacuum energy, or a quantum inflaton, but a single scalar condensate T(xμ) whose 4 primordial spatial gradient ∇T was created by an irreversible Machian displacement (Cosmology 5 2025). This gradient simultaneously gives rise to the arrow of time, gravity, inertial mass, quantum 6 entanglement connectivity (CFT XI), the QCIF acceleration scale A0 (CFT III), and the causal 7 structure of the early Universe. 8 In this paper we show that the same gradient drives: (i) direct baryogenesis through CPT9 breaking chronoscalar dressing of quarks, (ii) leptogenesis via sterile-neutrino splitting proportional 10 to qN∇T, and (iii) replacement of black-hole singularities with finite-density chronoscalar cores 11 because extreme gradients freeze T at the Mexican-hat minimum. 12 These mechanisms reproduce the observed baryon-to-photon ratio ηB = 6.1 × 10−10 (Planck 13 2018), generate non-singular black-hole interiors, and require no inflaton, no GUT symmetry, 14 no dark matter, and no higher-curvature corrections. All physical structure arises from the 15 single cosmological gradient ∇T created once and never reversed.

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