The Titov Admitted Event Population contains all completed events satisfying full containment in one sector at the observation moment. Titov Sector Occupancy expresses that population as a share of the declared lookback archive. Occupancy describes prevalence, not force magnitude.
Titov Force Density is a family of measures whose denominator must always be declared. Event-normalized density measures Force Mass per admitted event. Archive-normalized density measures Force Mass per event in the complete lookback. Spatial density measures Force Mass per unit of sector width. Each answers a different question.
The Titov Sector Depth Coordinate locates admitted evidence between the central division and the outer boundary on a common zero-to-one scale. A Force Centroid identifies the weighted average location, while Force Dispersion describes how widely meaningful contributions are distributed around it.
Force Concentration measures how unequally Force Mass is divided among events. Its inverse, Effective Force Contributors, translates concentration into the equivalent number of equally weighted contributors. A field supported broadly differs from one dependent on a single dominant event even when their totals match.
Key Concepts
The vocabulary of the field.
Titov Sector Occupancy
The admitted event count divided by the complete declared lookback population.
Titov Force Density
Force Mass expressed relative to a declared event, archive, or spatial denominator.
Titov Force Concentration
The sum of squared event Force-Mass shares inside a sector.
Research Takeaway
Two fields are not structurally equivalent merely because their primary totals are equal; equivalence also requires attention to population, normalization, location, dispersion, and concentration.
This essay explains the theory’s definitions and architecture. It does not constitute investment advice, a trading signal, or a promise of future performance.