Investigation of Superluminal Motion of Free Spin-half Particles in Spacetime
Bibliographic record
Abstract
The possibility of free spin-1/2 particles (also called Dirac particles)superluminal motion in spacetime, is investigated. The universal coverof the entire Lorentz group $\mathcal{L}$ consists of $SL\left(2,\mathbb{C}\right)$and the spinor map so that to obtain a relativistically invariantdescription of the state of an electron, one looks to the representationsof $SL\left(2,\mathbb{C}\right),$ that is, to the 2-valued representationof $\mathcal{L},$ known as spinors. We restrict our approach to realisticone-particle systems along with the ``positive energy'' and utilizethe free Dirac waves propagating in the $z-$direction. The Diracwave function $\psi\left(x,t\right)$ is considered as a ``classicalfield'' and the corresponding wave equation is derived from a Lagrangefunction. Using the symmetrized Dirac Lagrange density, it is observedthat variation in spin angular momentum (in the light cone) leadsto causality violation, whereas variation in orbital angular momentumdoes not. Consequently, it is shown that the expectation value of the relative translational velocitycomponent of the spinning free electron exceeds light speed.
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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 | 0.000 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.002 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
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".