EAS / Scalar Fields: Quantum Gravity: Relational Scale, Conditioned-Region Source Organization, and Qualified Correspondence to General Relativity
- 1Independent Researcher
Abstract
This paper is archived as a speculative research work.
This paper develops a conditional mathematical correspondence between the strictly relational EAS/Scalar Fields (SF) framework and gravitational geometries represented in general relativity (GR). The controlling SF construction uses fixed elementary scalar-binary-bit (SBB) cadence, an admitted phase-compatible outward carrier succession, a specified four-point-carrier topology, and a conserved positive source-loading report. A complete geometric carrier shell at source-relative relational depth L has 4L carrier positions; a normalized complete-shell alternative-access mean therefore scales exactly as Q_C/(4L), without assuming equal local occupation, scalar transport to the rings, or a primitive spacetime metric. A qualified source normalization gives an a_C/L organizational report. Continuous a_C/r_C and a_C/R kernels, physical mass-length calibrations, Einstein constraints, Schwarzschild curvature conditions, and resulting geodesics belong to declared physical-interface representations, not to primitive SF ontology. For the isolated Schwarzschild case, the manuscript explicitly propagates the conserved SF loading S_C through the continuous source coefficient m=G S_C/c^2, both sectional curvatures, the static metric, the coordinate transformation, and the null and timelike geodesic predictions. This checks that the same SF source registration is preserved in each standard physical representation. These source-preserving correspondence checks extend to selected non-time-symmetric finite-source vacuum initial data and to distinct valid GR Cauchy-data selections from the same EAS source registration. The resulting correspondence distinguishes source-preserving representations from physical-interface choices, while maintaining explicit hypotheses for each theorem and its gravitational consequences.
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BibTeX
@misc{labhard2026scalar,
title = {{EAS / Scalar Fields: Quantum Gravity: Relational Scale, Conditioned-Region Source Organization, and Qualified Correspondence to General Relativity}},
author = {0009-0008-0231-7067 Michael E. Labhard\},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23509328},
url = {https://zenodo.org/records/23509328},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - EAS / Scalar Fields: Quantum Gravity: Relational Scale, Conditioned-Region Source Organization, and Qualified Correspondence to General Relativity
AU - 0009-0008-0231-7067 Michael E. Labhard\
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23509328
UR - https://zenodo.org/records/23509328
AB - This paper is archived as a speculative research work. This paper develops a conditional mathematical correspondence between the strictly relational EAS/Scalar Fields (SF) framework and gravitational geometries represented in general relativity (GR). The controlling SF construction uses fixed elementary scalar-binary-bit (SBB) cadence, an admitted phase-compatible outward carrier succession, a specified four-point-carrier topology, and a conserved positive source-loading report. A complete geometric carrier shell at source-relative relational depth L has 4L carrier positions; a normalized complete-shell alternative-access mean therefore scales exactly as Q_C/(4L), without assuming equal local occupation, scalar transport to the rings, or a primitive spacetime metric. A qualified source normalization gives an a_C/L organizational report. Continuous a_C/r_C and a_C/R kernels, physical mass-length calibrations, Einstein constraints, Schwarzschild curvature conditions, and resulting geodesics belong to declared physical-interface representations, not to primitive SF ontology. For the isolated Schwarzschild case, the manuscript explicitly propagates the conserved SF loading S_C through the continuous source coefficient m=G S_C/c^2, both sectional curvatures, the static metric, the coordinate transformation, and the null and timelike geodesic predictions. This checks that the same SF source registration is preserved in each standard physical representation. These source-preserving correspondence checks extend to selected non-time-symmetric finite-source vacuum initial data and to distinct valid GR Cauchy-data selections from the same EAS source registration. The resulting correspondence distinguishes source-preserving representations from physical-interface choices, while maintaining explicit hypotheses for each theorem and its gravitational consequences.
ER -