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Record W2998474585 · doi:10.4006/0836-1398-32.4.484

The energy density of the gravitational field

2019· article· en· W2998474585 on OpenAlex
Andreas Trupp

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 · 2019
Typearticle
Languageen
FieldPhysics and Astronomy
TopicRelativity and Gravitational Theory
Canadian institutionsnot available
Fundersnot available
KeywordsPhysicsGravitational fieldEinsteinDark energyClassical mechanicsField (mathematics)Negative energyGravitational energyTheoretical physicsSchwarzschild metricEnergy (signal processing)GravitationConservation of energyPotential energyNegative massGeneral relativityQuantum mechanicsCosmologyMathematics

Abstract

fetched live from OpenAlex

It is shown that 100-year-old, conflicting ideas on the positive or negative energy of the gravity field collide with the principle of local conservation of energy. A scrutiny of the Schwarzschild metric, carried out with a different method than that applied by E. Schrödinger but completed with a similar result, reconfirms that the gravity field holds no energy at all, with that recognition being tacitly acknowledged by Misner, Thorne, and Wheeler in 1973. Given that it does not hold any energy, it cannot, by definition, be qualified as a force-field. Given that it is not a force-field, it is capable of being completely transformed away even in the rigid reference-frame of a distant observer outside of the field. Contrary to what (early) Einstein believed, this can (and must) be achieved by the concept of “flowing spaces” that was introduced by elder Einstein himself in 1952. It is shown that this concept leads to empirical consequences. Moreover, the energy of the gravity field is necessarily replaced by an inexhaustible “dark energy,” which flows into any massive object (including Newton’s apple) whenever, after a free fall, it is being decelerated. Thereby Schrödinger’s vision of “new foundations” of the energy conservation principle (as a consequence of his recognition that the gravity field holds no energy) is coming true. Because of the absence of any gravitational field lines that originate from that energy, the (main) seat of this dark energy cannot be in three-dimensional space, but must sit at a location separated from ordinary space by a short distance in a direction perpendicular to all three ordinary spatial directions.

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: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.471
Threshold uncertainty score0.143

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 head0.006
GPT teacher head0.220
Teacher spread0.214 · 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