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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 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)0.001
metaresearch head score (Gemma)0.002
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow), Research integrity, Insufficient payload (model declined to judge)
Consensus categoriesInsufficient payload (model declined to judge)
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 score0.305
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.002
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0010.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0020.008
Research integrity0.0010.002
Insufficient payload (model declined to judge)0.0030.003

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; both teacher heads agree on what is shown here.

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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