Unification of General Relativity and Quantum Mechanics via Foundational D1 Field Theory Series I, Paper II: Newton's Constant from D1 Boundary Normalisation

This paper is the second in a three-paper series developing the classical gravity pillar of foundational D1 field theory. Series I, Paper I showed how spacetime geometry and Einstein-type gravitational dynamics can arise from the stable unfolded phase of the D1 field. In that low-energy regime, the non-minimal curvature coupling of the D1 field reduces to an Einstein-Hilbert-type curvature term and gives an effective gravitational coupling. The present paper addresses the remaining normalisation problem: why the effective gravitational coupling obtained from the D1 curvature coefficient should equal the observed Newton constant G. The central proposal is that Newton’s constant is fixed by a D1 boundary-normalisation condition. A horizon-like or horizon-associated D1 phase boundary carries a dimensionless boundary charge q_H. For the fundamental D1 boundary unit, the condition q_H = 1 fixes the normalisation parameter eta = 1. This fixes the stable D1 curvature coefficient F(v) = xi v^2 to the Einstein-Hilbert value F(v) = 1/(8 pi G), giving G_eff = G. The paper does not claim to derive the separate microscopic values of xi and v, nor does it construct the full D1 black-hole interior model. Horizons are used here only as effective normalisation boundaries. The detailed D1 treatment of black-hole transition layers, regular-core behaviour, conserved-current matching, evaporation end-states, and thermodynamic consistency is reserved for Series I, Paper III.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-24
DOI
https://doi.org/10.5281/zenodo.22079451
Primary Topic
Black Holes and Theoretical Physics
Type
preprint
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Unification of General Relativity and Quantum Mechanics via Foundational D1 Field Theory Series I, Paper II: Newton's Constant from D1 Boundary Normalisation

Andrew Cottham
Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
preprint

Unification of General Relativity and Quantum Mechanics via Foundational D1 Field Theory Series I, Paper II: Newton's Constant from D1 Boundary Normalisation

Andrew Cottham
preprint en

Abstract

This paper is the second in a three-paper series developing the classical gravity pillar of foundational D1 field theory. Series I, Paper I showed how spacetime geometry and Einstein-type gravitational dynamics can arise from the stable unfolded phase of the D1 field. In that low-energy regime, the non-minimal curvature coupling of the D1 field reduces to an Einstein-Hilbert-type curvature term and gives an effective gravitational coupling. The present paper addresses the remaining normalisation problem: why the effective gravitational coupling obtained from the D1 curvature coefficient should equal the observed Newton constant G. The central proposal is that Newton’s constant is fixed by a D1 boundary-normalisation condition. A horizon-like or horizon-associated D1 phase boundary carries a dimensionless boundary charge q_H. For the fundamental D1 boundary unit, the condition q_H = 1 fixes the normalisation parameter eta = 1. This fixes the stable D1 curvature coefficient F(v) = xi v^2 to the Einstein-Hilbert value F(v) = 1/(8 pi G), giving G_eff = G. The paper does not claim to derive the separate microscopic values of xi and v, nor does it construct the full D1 black-hole interior model. Horizons are used here only as effective normalisation boundaries. The detailed D1 treatment of black-hole transition layers, regular-core behaviour, conserved-current matching, evaporation end-states, and thermodynamic consistency is reserved for Series I, Paper III.

Zenodo (CERN European Organization for Nuclear Research)
Black Holes and Theoretical Physics
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Unification of General Relativity and Quantum Mechanics via Foundational D1 Field Theory Series I, Paper II: Newton's Constant from D1 Boundary Normalisation — Andrew Cottham · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS