How does the Schrödinger equation apply to stock forecasting?

Quantustik inverts each ticker's historical price distribution through the time-independent Schrödinger equation into a market "potential", which then weights the Feynman path ensemble that produces the forecast.

What the "potential" represents here

The fitted potential is reconstructed from where a ticker's own historical price has actually spent time — a density estimate over past price levels — while separate parameters calibrated from volatility, autocorrelation, and market-conditions context shape how the distribution diffuses and drifts within it. A stock whose history shows heavy trading at two distinct price areas can produce a two-humped, multi-modal distribution instead of one average line splitting the difference.

Live example: AAPL's forecast currently assigns roughly 91% probability to price being higher over the next 3 months — a direct readout of the model's full probability distribution (the weighted path ensemble), not a separate guess bolted on afterward. See the full AAPL forecast for the complete distribution.

The output is always a distribution, never one number

Because the forecast is a full ensemble of price paths rather than a point estimate, every forecast ships with a mean path plus calibrated quantile bands — the honest shape of any real market forecast is a range of outcomes with associated probabilities.

Frequently asked questions

Does Quantustik claim stock prices are literally quantum particles?

No. The model borrows the mathematics of the Schrödinger equation as a forecasting technique; it is not a physical claim about quantum effects in markets.

What determines the shape of the potential?

The potential is reconstructed from where the ticker's own historical price has actually spent time, while separate parameters calibrated from volatility and market-conditions context shape how the distribution diffuses and drifts, recalibrated as new data arrives.

Why does this matter more than a normal statistical forecast?

It naturally produces a full, honestly calibrated probability distribution — including genuinely multi-modal outcomes — rather than a single line with an ad hoc error band.

See it on a ticker

AAPL analysis shows this metric in context, or browse all S&P 500 tickers.

Related terms

Educational research only — not investment advice.