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Record W4380741872 · doi:10.21203/rs.3.rs-3069154/v1

Quasi-Static Levitation of Magic Squares

2023· preprint· en· W4380741872 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.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.
fundA Canadian funder is recorded on the work.

Bibliographic record

VenueResearch Square · 2023
Typepreprint
Languageen
FieldComputer Science
TopicChaos-based Image/Signal Encryption
Canadian institutionsUniversité Laval
FundersMount Saint Vincent UniversityUniversité Laval
KeywordsMagic squareMAGIC (telescope)Least-squares function approximationLevitationDisplacement (psychology)Electric chargePhysicsTheoretical physicsClassical mechanicsMathematicsGeometryQuantum mechanicsStatisticsPsychology

Abstract

fetched live from OpenAlex

Abstract Magic squares are fascinating mathematical constructs that have captured the imagination of people for centuries. In this study, we investigate the behavior of electrically charged magic squares of order 4 under the influence of electrostatic forces. We treat the matrix elements of the magic squares as electric charges and numerically simulate their behavior using a dynamic controller. Our results demonstrate that the charges move towards a quasi-static equilibrium while preserving the original magic square arrangement and its magical properties. Additionally, the results reveal distinctive patterns in the displacement between the charges. Our study sheds light on the behavior of charged magic squares under electrostatic forces and provides insight into the physical properties of these intriguing mathematical constructs.

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)0.004
metaresearch head score (Gemma)0.002
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow), Insufficient payload (model declined to judge)
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 score0.927
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0040.002
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0010.002
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0020.003
Research integrity0.0000.001
Insufficient payload (model declined to judge)0.0000.001

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 head0.174
GPT teacher head0.442
Teacher spread0.268 · 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