The principle behind the Uncertainty Principle
Why this work is in the frame
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Bibliographic record
Abstract
Department of Mathematics and Statistics and Institute for Quantum Science and Technology,University of Calgary, 2500 University Drive NW, Calgary, Alberta, Canada T2N 1N4(Dated: May 12, 2015)Whilst physicists have long been aware of the existence of a fundamental uncertainty princi-ple in quantum mechanics, an explicit understanding of this principle has remained an enigma,our grasp limited to speci c \uncertainty relations. In this work we overcome these limitationsby clarifying the concept of uncertainty, based on minimalistic axioms. Applying this notion toquantum-mechanical measurements, we arrive at a general, overarching framework for character-izing all quantum-mechanical uncertainty relations, which we unify into our proposed UncertaintyPrinciple. Along the way, we nd that the variance is an uncertainty measure only in a restrictedsense.
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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 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 it