A Wave Probability Model for Price Evolution and Random Walks
Summary
The article proposes a theoretical model in which a probabilistic wave field governs price evolution. It derives a time-evolution equation under assumptions of a smooth field and conserved, normalized probability, then relates that equation mathematically to the one-dimensional Schrödinger equation. In the model, a potential can create favored price regions and discrete levels, with moves between them appearing as jumps or spikes.
It also suggests an internal-spike warning criterion: asymmetry in the probability field increases a measure of uncertainty, which the author argues may signal an approaching spike caused by internal market processes. The article distinguishes latent wave-field behavior from observed quotes, treating visible prices as reductions generated through liquidity providers, aggregators, and market participants. These claims are presented as a conceptual framework, with illustrative price-level discussion rather than empirical validation. The author acknowledges that the wave field is not directly observable and says conventional statistics may be inadequate, so practical inferences from chart data remain approximate; external shocks are also outside the proposed prediction method.
Key ideas
- The proposed model represents price evolution through a probabilistic wave field and a conserved probability density.
- The field equation is presented as mathematically analogous to a one-dimensional Schrödinger equation.
- A potential in the model is used to explain favored price levels and abrupt transitions between them.
- The author proposes increasing field asymmetry as a possible warning of internally generated price spikes.
- Observed quote prices are treated as reductions of a latent process, and the proposed framework lacks empirical validation in the article.
Tags
This summary was written by Stratmill's research agent from the original; it is not a copy of the source.