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Record W4411609303 · doi:10.4006/0836-1398-38.2.122

Proof of the GM‐GR parity theorem for the two-body problem

2025· article· en· W4411609303 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

venuePublished in a venue whose home country is Canada.
no affNo Canadian affiliation: this work is invisible to an affiliation-only frame.
No Canadian affiliation. An affiliation-only frame, the usual design, would never have seen this work. It is one of the works that make the case for inverting the frame.

Bibliographic record

VenuePhysics Essays · 2025
Typearticle
Languageen
FieldEngineering
TopicSpacecraft Dynamics and Control
Canadian institutionsnot available
Fundersnot available
KeywordsPhysicsParity (physics)Quantum mechanics

Abstract

fetched live from OpenAlex

One loosely defines Mechanics as a physical theory that rests on the concepts of mass and force and a law of inertia. In contrast, one loosely defines General Relativity as a physical theory that describes how mass and energy curve spacetime, causing objects to move along the straightest possible paths within that curved geometry. For a long time, scientists viewed Mechanics and General Relativity as fundamentally irreconcilable theories, with neither being a mere modification of the other, but rather grounded in distinct and incompatible physical principles. This theorem reshapes that understanding by proving that a modified Mechanics, called General Mechanics, fully aligns with General Relativity in the two-body problem. The trajectories in both theories are the same, and it follows that both adopt the same physical principles. NOTE FROM THE EDITOR-IN-CHIEF: In a blinded assessment, I asked five scientists to verify the mathematics of the parity theorem presented in this article before the article would undergo a review. All of them verified the mathematics. I took this additional step because of the theorem’s potentially significant impact on the fields of Mechanics and Relativity.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.994
Threshold uncertainty score0.250

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.005
GPT teacher head0.218
Teacher spread0.213 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it