Chronoscalar Field Theory XIb: The Pure Chronoscalar Parent Action and the Emergent-Gravity Limit

Abstract

The three canonical papers of Chronoscalar Field Theory—Cosmology (Nov 2025), CFT III (Dec 3 2025), and CFT XI (Jan 2026)—contain no Einstein–Hilbert term, no bare Ricci scalar, and no as4 sumption that general relativity is fundamental. All observed gravitational, inertial, and quantum5 correlation phenomena arise from a single field T(xμ) of dimension length whose primordial Machian 6 excitation produces a permanent spatial gradient ∇T. This paper derives the unique covariant 7 parent action compatible with the full chronoscalar corpus, demonstrates how the Einstein–Hilbert 8 term emerges in the low-gradient limit, and proves that Newtonian gravity, post-Newtonian GR, 9 deep-MOND dynamics, and the horizon-scale entanglement structure all follow from the same 10 gradient.

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