Strict Locality and the Structural Gap in the Classical Account of Gravitational Time Dilation

A classical scalar model of gravity, built on two assumptions and no free parameters, that recovers the Newtonian potential, structurally prevents the central singularity, and reproduces gravitational time dilation in full (coefficient 1) while yielding half the value where the spatial component is required (coefficient one-half). The one-half is shown to be structural in origin. The paper locates a structural gap in the classical account: in this limit, general relativity joins two components of local origin under a geometric constraint imposed by the vacuum condition, not a physical mechanism linking them — and poses, as an open question, what would make that constraint physical.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-28
DOI
https://doi.org/10.5281/zenodo.20994041
Primary Topic
Relativity and Gravitational Theory
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Strict Locality and the Structural Gap in the Classical Account of Gravitational Time Dilation

Ossama Anes Bohamd
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
preprint

Strict Locality and the Structural Gap in the Classical Account of Gravitational Time Dilation

Ossama Anes Bohamd
preprint en

Abstract

A classical scalar model of gravity, built on two assumptions and no free parameters, that recovers the Newtonian potential, structurally prevents the central singularity, and reproduces gravitational time dilation in full (coefficient 1) while yielding half the value where the spatial component is required (coefficient one-half). The one-half is shown to be structural in origin. The paper locates a structural gap in the classical account: in this limit, general relativity joins two components of local origin under a geometric constraint imposed by the vacuum condition, not a physical mechanism linking them — and poses, as an open question, what would make that constraint physical.

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Relativity and Gravitational Theory
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.