Methodology & Research

What separates success from failure—in every business, in every market—is timing. Every business owner, every operator, every financial manager knows WHAT to do. They just don’t know WHEN to do it. The cost of getting the timing wrong is catastrophic. A retailer who reorders late loses the sale. A restaurant that overpreps eats the margin. A manufacturer who ramps early bleeds cash. A fund manager who buys at the wrong time loses the fund. Solving the timing problem is the sole purpose of forecasting. The source of the timing problem is that every application of time series forecasting generates a Prediction, not a Forecast. A Prediction is a single-outcome call about the future. A Forecast is a probability distribution over what can actually happen, attached to a specific point in time.

The Model of Temporal Inertia (MTI) is the decomposition principle that grounds the {4,5,6} Forecast construction. It explains why a value in a time series can be split into two components that operate independently along the sequential timeline and the seasonal timeline: an atemporal absolute (the inertial trend) and a temporal relative (the seasonal relative). The two components can then be combined through Orthogonal Projection. Their product is a temporal absolute: a Dimension 4 value at a Dimension 6 calendar coordinate, restoring the {4,5,6} structure of the historical observations. The Microscope for Time is the proprietary library of seasonal models that makes the Dimension 6 component structurally engageable.

Historical Results are not backtests: the construction generates each forecast at each historical position using only data preceding that position, with the result that the historical record functions as a series of prospective Forecasts whose outcomes are now known. The Temporal Firewall is the structural mechanism that makes this true.

The Temporal Structural Forecasting research using stock market data is extensive and far-reaching. All of the research hypotheses and forecast methodologies have been preregistered on Zenodo in advance of analyzing any forecast data or results. These omnibus preregistrations are specifically designed to allow for multiple studies testing a full range of hypotheses and configurations on the same out-of-sample universe of 346 S&P500 stocks with sufficient historical data to generate 20 full years of forecasts.