Nonlinear Multiple-Source Gravity from Conserved Relational Organization EAS/Scalar Fields — Paper III: Finite-Source Gravitational Correspondence
- 1Independent Researcher
Abstract
This paper is archived as a speculative research work.
The gravitational representation of several conserved sources presents a stronger consistency test than an isolated Schwarzschild correspondence. In general relativity, the sources may be registered separately, but the metric and Einstein constraints are nonlinear; a superposition of source coefficients cannot be treated as a superposition of complete spacetime solutions. This paper develops a qualified multiple-source correspondence for Entanglement-Algebraic Spacetime (EAS) Scalar Fields (SF), retaining the same positive, conserved source-loading registrations across admissible gravitational initial-data constructions. The source-preserving interface distinguishes a signed handedness-sensitive organizational report from the hand-even source coefficients used in gravity, and prevents the duplication of any scalar loading assigned to a jointly conserved inventory. For time-symmetric conformally flat vacuum puncture data, the resulting Brill–Lindquist family solves the Einstein constraints exactly and displays nonlinear geometric cross terms despite additive source coefficients. An explicit two-source tensor residual shows why a direct multi-source imitation of the isotropic Schwarzschild lapse does not, in general, produce a static vacuum spacetime. The construction extends to finite-source, non-time-symmetric Bowen–York data , where independently selected GR momentum and spin parameters require a nonlinear conformal correction while leaving every source residue unchanged. The result is a family of mathematically explicit, conditional source-preservation correspondences, not a derivation of arbitrary Einstein solutions from SF ontology or a claim that GR initial data uniquely determine their own SF interpretation. Full calculations and proofs appear in the present paper's subsequent sections and in the companion Quantum Gravity manuscript .
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BibTeX
@misc{labhard2026nonlinear,
title = {{Nonlinear Multiple-Source Gravity from Conserved Relational Organization EAS/Scalar Fields — Paper III: Finite-Source Gravitational Correspondence}},
author = {0009-0008-0231-7067 Michael E. Labhard\},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23605531},
url = {https://zenodo.org/records/23605531},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Nonlinear Multiple-Source Gravity from Conserved Relational Organization EAS/Scalar Fields — Paper III: Finite-Source Gravitational Correspondence
AU - 0009-0008-0231-7067 Michael E. Labhard\
PY - 2026
DA - 2026/10/23
PB - Zenodo
DO - 10.5281/zenodo.23605531
UR - https://zenodo.org/records/23605531
AB - This paper is archived as a speculative research work. The gravitational representation of several conserved sources presents a stronger consistency test than an isolated Schwarzschild correspondence. In general relativity, the sources may be registered separately, but the metric and Einstein constraints are nonlinear; a superposition of source coefficients cannot be treated as a superposition of complete spacetime solutions. This paper develops a qualified multiple-source correspondence for Entanglement-Algebraic Spacetime (EAS) Scalar Fields (SF), retaining the same positive, conserved source-loading registrations across admissible gravitational initial-data constructions. The source-preserving interface distinguishes a signed handedness-sensitive organizational report from the hand-even source coefficients used in gravity, and prevents the duplication of any scalar loading assigned to a jointly conserved inventory. For time-symmetric conformally flat vacuum puncture data, the resulting Brill–Lindquist family solves the Einstein constraints exactly and displays nonlinear geometric cross terms despite additive source coefficients. An explicit two-source tensor residual shows why a direct multi-source imitation of the isotropic Schwarzschild lapse does not, in general, produce a static vacuum spacetime. The construction extends to finite-source, non-time-symmetric Bowen–York data , where independently selected GR momentum and spin parameters require a nonlinear conformal correction while leaving every source residue unchanged. The result is a family of mathematically explicit, conditional source-preservation correspondences, not a derivation of arbitrary Einstein solutions from SF ontology or a claim that GR initial data uniquely determine their own SF interpretation. Full calculations and proofs appear in the present paper's subsequent sections and in the companion Quantum Gravity manuscript .
ER -