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cff-version: 1.2.0
title: What Do Precision Tests of General Relativity Actually Measure?
message: If you use this software, please cite it as below.
type: article
authors:
- family-names: Smawfield
given-names: Matthew Lukin
orcid: https://orcid.org/0009-0003-8219-3159
abstract: 'Most high-precision tests of general relativity constrain reciprocity-even,
largely local observables within single-metric frameworks. This leaves open a specific
underdetermination between General Relativity (GR) and a class of two-metric disformal
scalar-tensor modifications, exemplified here by the Temporal Equivalence Principle
(TEP).
This paper formalizes a measurement taxonomy distinguishing gauge-invariant from
convention-dependent observables and identifies six recurring scope limitations
in the experimental canon: (1) two-way measurement dominance; (2) local/global conflation;
(3) model-dependent calibration; (4) single-path multi-messenger constraints on
differential propagation that do not directly test common-mode conformal clock-sector
structure; (5) theory-laden data reduction; and (6) the density-regime screening
blind spot, whereby tests performed in deep potential wells probe only the screened
regime where scalar-field gradients are continuously suppressed, leaving the unscreened
low-density regime unexplored. These characteristics do not diminish the experimental
achievements but indicate that, in many cases, the tests primarily constrain parameter
space within assumed frameworks rather than systematically discriminating between
alternatives.
Discriminating observables—specifically loop asymmetries, spatial correlations,
and density-regime screening transitions—are proposed, together with experimental
configurations capable of resolving the underdetermination. These include large-area
triangle holonomy tests (targeting residual synchronization holonomy H_resid), interplanetary
closed-loop timing, altitude-varying optical clock networks to map continuous geometric
screening, and matter-wave interferometry.
'
license: CC-BY-4.0
version: v0.4 (Istanbul)
date-released: 2025-12-31
keywords:
- Temporal Equivalence Principle
- Temporal Shear
- Temporal Topology
- proper time
- conformal metric
- disformal metric
- synchronization holonomy
- clock-sector gravity
- scalar-tensor theory
- general relativity
- experimental tests
- underdetermination
- synchronization
- GPS
- gravitational redshift
- Shapiro delay
- multi-messenger astronomy
repository-code: https://github.com/matthewsmawfield/TEP-EXP
url: https://github.com/matthewsmawfield/TEP-EXP
doi: 10.5281/zenodo.18109760
preferred-citation:
type: article
title: What Do Precision Tests of General Relativity Actually Measure? (Istanbul
v0.4)
authors:
- family-names: Smawfield
given-names: Matthew Lukin
orcid: https://orcid.org/0009-0003-8219-3159
year: 2025
journal: Zenodo
doi: 10.5281/zenodo.18109760
identifiers:
- type: doi
value: 10.5281/zenodo.18109760
description: Pre-print DOI
url: https://doi.org/10.5281/zenodo.18109760
notes: Preprint