Titov Ascendant Force is the distance from the Low to the lower boundary of the body: min(Open, Close) minus Low. Titov Descendant Force is the distance from the upper body boundary to the High: High minus max(Open, Close). These measures describe non-retained extensions.
Titov Ascendant Result is max(Close minus Open, zero). Titov Descendant Result is max(Open minus Close, zero). These measures describe retained body displacement and never represent trading profit, economic benefit, or certainty of continuation.
Large Force may coexist with small Result. Small Force may coexist with large Result. A neutral-body event may contain substantial force in both directions while preserving zero directional Result. These configurations remain distinguishable because the four coordinates are never prematurely collapsed.
At sector level, the Titov Primary Measure Vector stores [TAF, TDF, TAR, TDR]. The Uchaf and Isaf vectors together form the Primary Measure Field and provide the auditable foundation for every later density, balance, conversion, and scale relationship.
Key Concepts
The vocabulary of the field.
TAF
min(Open, Close) − Low.
TDF
High − max(Open, Close).
TRCI
The range-conservation identity proving that the four coordinates reconstruct the complete admitted range.
Research Takeaway
The four primary measures preserve the directional allocation of an admitted event while keeping every derived state traceable to the original geometry.
This essay explains the theory’s definitions and architecture. It does not constitute investment advice, a trading signal, or a promise of future performance.