Bibliographic record
Abstract
Using the Pauli algebra version of the Dirac equation we show the existence of its six symmetric versions whose solutions are referred to as the six sectors of fermion fields. It is shown that the sectors are distinct, by showing that if a fermion field belongs to two sectors at once then its mass must be zero. Also shown is the lack electromagnetic interaction between different sectors, since each sector has its own unique matrix coupling its fermion field to its EM field. Altogether this predicts the ratio of dark matter to ordinary matter of 5 to 1, which is close to the observed ratio of 5.2 to 1. In order to fully justify this prediction, the sixfold discrete symmetry must first of all be extended to the electroweak sector, then to strong interactions. This article only deals with coupling of fermion fields to electromagnetic fields. This paper essentially depends on the full equivalence of the Pauli algebra version of the Dirac equation with its standard version, which is proven in (2.1). The sixfold symmetry can be seen in the Pauli algebra version of the Dirac equation, but is harder to see in its standard version.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot 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.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.005 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.013 | 0.006 |
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; both teacher heads agree on what is shown here.
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".