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Main Author: Lietz, Justin
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Published: Zenodo 2026
Online Access:https://doi.org/10.5281/zenodo.19103452
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author Lietz, Justin
author_facet Lietz, Justin
contents <p>CF12 closes the gravity and black-hole branch of the Complete Formalism program at the derivedlimit level. It does not introduce primitive spacetime, primitive gravitation, or primitive horizon thermodynamics. Instead it inherits the primitive bifurcation invariant and non-discharge law from CF000, the derived carrier from CF00, the J ⊕ M reversible/irreversible split from CF01, the boundary-concentration hierarchy law from CF03, the finite-speed telegraph cone from CF04, and the dark-sector cosmological background from CF11, and then derives gravity as the carrier-level geometric response to invariant-burden gradients. The completed formalism consists of: (i) an equivalence principle in which inertial and gravitational mass are two measurements of the same burden functional; (ii) a Lorentzian metric whose null cone is fixed by the inherited transport cone; (iii) an Einstein-form effective field equation with an explicit saturation correction sector; (iv) Schwarzschild-form exterior geometry and horizon formation as same-domain saturation rather than annihilation; (v) black-hole entropy as boundary articulation count with the area law and Hawking<br>temperature emerging from saturation geometry; (vi) information preservation and Page-curve<br>behavior as articulation-budget transfer; and (vii) an explicit gravitational back-reaction correction<br>term for the CF11 cosmogenesis residual. In this way CF12 is not a roadmap to gravity. It is<br>the completed gravity module of the present VDM canon, with its low-energy closure, black-hole<br>thermodynamics, and observational gates written as one coherent derived formalism.</p>
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publishDate 2026
publisher Zenodo
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spellingShingle CF12: Gravity, Black Holes, and Saturation Geometry
Lietz, Justin
<p>CF12 closes the gravity and black-hole branch of the Complete Formalism program at the derivedlimit level. It does not introduce primitive spacetime, primitive gravitation, or primitive horizon thermodynamics. Instead it inherits the primitive bifurcation invariant and non-discharge law from CF000, the derived carrier from CF00, the J ⊕ M reversible/irreversible split from CF01, the boundary-concentration hierarchy law from CF03, the finite-speed telegraph cone from CF04, and the dark-sector cosmological background from CF11, and then derives gravity as the carrier-level geometric response to invariant-burden gradients. The completed formalism consists of: (i) an equivalence principle in which inertial and gravitational mass are two measurements of the same burden functional; (ii) a Lorentzian metric whose null cone is fixed by the inherited transport cone; (iii) an Einstein-form effective field equation with an explicit saturation correction sector; (iv) Schwarzschild-form exterior geometry and horizon formation as same-domain saturation rather than annihilation; (v) black-hole entropy as boundary articulation count with the area law and Hawking<br>temperature emerging from saturation geometry; (vi) information preservation and Page-curve<br>behavior as articulation-budget transfer; and (vii) an explicit gravitational back-reaction correction<br>term for the CF11 cosmogenesis residual. In this way CF12 is not a roadmap to gravity. It is<br>the completed gravity module of the present VDM canon, with its low-energy closure, black-hole<br>thermodynamics, and observational gates written as one coherent derived formalism.</p>
title CF12: Gravity, Black Holes, and Saturation Geometry
url https://doi.org/10.5281/zenodo.19103452