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Kakeya Conjecture Applied to Extra Dimensions

2025· preprint· en· W4409856547 on OpenAlexaff
Rodney Bartlett

Bibliographic record

VenuePreprints.org · 2025
Typepreprint
Languageen
FieldMathematics
TopicAdvanced Harmonic Analysis Research
Canadian institutionsStantec (Canada)
Fundersnot available
KeywordsConjectureMathematicsCombinatorics

Abstract

fetched live from OpenAlex

The universe can be described with both real and so-called imaginary numbers - it’s logical to assume reality is like Quantum Gravity. Either Quantum Mechanics or General Relativity could be the more useful description of the universe in different circumstances, with their union in a theory of Quantum Gravity being more complete and better than both. In the same way, descriptions using Complex numbers would be more complete than either Real or Imaginary ones alone. The Kakeya conjecture has been proven for 1, 2, and 3 dimensions. Maybe that proof can be extended to the 4th and imaginary dimensions by the Mobius strip being a fundamental component of the universe, and the Complex Plane’s Wick rotation being built into the Mobius and acting as a timepiece whose real and imaginary components record the passage of time.

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.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.002
metaresearch head score (Gemma)0.006
Version: metacan-v3-hybrid-931329e0061cValidation 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: none
Teacher disagreement score0.010
Threshold uncertainty score0.034

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0020.006
Meta-epidemiology (narrow)0.0010.000
Meta-epidemiology (broad)0.0010.002
Bibliometrics0.0020.001
Science and technology studies0.0030.007
Scholarly communication0.0040.009
Open science0.0010.004
Research integrity0.0020.004
Insufficient payload (model declined to judge)0.0100.002

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 head0.251
GPT teacher head0.455
Teacher spread0.204 · 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

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designTheoretical or conceptual
Domainnot available
GenreEmpirical

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2025
Admission routes1
Has abstractyes

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Same venuePreprints.orgSame topicAdvanced Harmonic Analysis ResearchFrench-language works237,207