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Record W2906518460 · doi:10.5539/jmr.v11n4p9

On Bent Manifolds and Deformed Spaces

2019· article· en· W2906518460 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

VenueJournal of Mathematics Research · 2019
Typearticle
Languageen
FieldEarth and Planetary Sciences
TopicEarth Systems and Cosmic Evolution
Canadian institutionsnot available
Fundersnot available
KeywordsBent molecular geometryMathematicsGeometryManifold (fluid mechanics)Space (punctuation)Riemannian manifoldRiemannian geometryGeneral relativityMathematical analysisMathematical physicsComputer science

Abstract

fetched live from OpenAlex

Riemannian geometry is the geometry of bent manifolds. However, as this paper shows, it is also the geometry of deformed spaces. General Relativity (GR), based on Riemannian geometry, relates to space around the Sun and other masses as a bent 3D manifold.   Although a bent 3D space manifold in a 4D hyper-space is unimaginable, physicists accept this constraint. Our geometry of deformed spaces removes this constraint and shows that the Sun and other masses simply contract the 3D space around them. Thus, we are able to understand General Relativity (GR) almost intuitively - an intuition that inspires our imagination. Space in GR is considered a continuous manifold, bent (curved) by energy/momentum. Both Einstein (1933) and Feynman (1963), considered the option of space being a deformed continuum rather than a bent (curved) continuous manifold. We, however, consider space to be a 3D deformed lattice rather than a bent continuous manifold. The geometry presented in this paper is the geometry of this kind of space.

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)0.002
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: Observational · Consensus signal: Observational
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.094
Threshold uncertainty score0.867

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0020.000
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)0.0010.000

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 head0.052
GPT teacher head0.310
Teacher spread0.259 · 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