Noncommutative model with spontaneous time generation and Planckian bound
Bibliographic record
Abstract
We illustrate the thesis that if time did not exist, we would have to create it if space is noncommutative, and extend functions by something like Schrödinger’s equation. We propose that the phenomenon is a somewhat general mechanism within noncommutative geometry for “spontaneous time generation.” We show in detail how this works for the su2 algebra [xi,xj]=2ιλϵijkxk as noncommutative space, by explicitly adjoining the forced time variable. We find the natural induced noncommutative Schrödinger’s equation and show that it has the correct classical limit for a particle of some mass m≠0, which is generated as a second free parameter by the theory. We show that plane waves exist provided ∣p⃗∣<π∕2λ, i.e., we find a Planckian bound on spatial momentum. We also propose dispersion relations ∣∂p0∕∂p⃗∣=∣tan(λ∣p⃗∣)∣∕mλ for the model and explore some elements of the noncommutative geometry. The model is complementary to our previous bicrossproduct one.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot 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.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.003 |
| Scholarly communication | 0.002 | 0.003 |
| Open science | 0.001 | 0.002 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.006 | 0.001 |
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.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
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".