Time evolution of pilot waves in finance
Bibliographic record
Abstract
This thesis explores the time evolution of quantum potentials in financial time series by developing novel technical indicators based on these quantum potentials. It starts with an introduction to de Broglie-Bohm’s pilot wave theory and its application in financial market analysis, detailing the derivation of quantum potential and quantum force from the probability density function (PDF) of logarithmic price changes. The research employs the sliding window technique to observe the temporal evolution of these quantum potentials and quantum forces and their corresponding features, while also examining correlations with traditional technical and statistical indicators. A significant part of the study involves comparing real financial markets to a theoretical Gaussian system defined by random walk theory, revealing notable differences in the number of equilibrium states and the shape of constraining walls. Strong correlations are found between the new features-particularly the length and depth of quantum potentials-and other indicators like standard deviation. Ultimately, this research advances the use of the pilot wave model in finance by introducing the “widening” behavior of quantum potentials and providing fully functional indicators for future research.
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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) | 0.001 | 0.000 |
| Bibliometrics | 0.003 | 0.004 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, 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".