A declared center
Every field begins with a Titov Reference Price—a geometric origin, not a claim of fair value.
A New Scientific Framework for Market Structure
Viewing Markets as Fields of Force
A formal analytical architecture for reconstructing price charts as bounded fields, separating non-retained reaction from retained directional result, and examining market state before prediction.

The Foundational Proposition
The theory changes the object of analysis. At a declared observation moment, completed price events are examined for their present spatial relationship to a reference—not interpreted by chronology alone.
Every field begins with a Titov Reference Price—a geometric origin, not a claim of fair value.
The Uchaf Sector lies above the reference; the Isaf Sector lies below. Location never predetermines direction.
Only completed events whose entire High-to-Low range belongs to one sector enter the primary measurement.
Each admitted event separates non-retained Force from retained directional Result without cancellation.
Titov Event Decomposition Identity
Every valid admitted event can be reconstructed from four nonnegative coordinates. The identity serves as an internal audit rule for independent implementation.
min(O, C) − L
H − max(O, C)
max(C − O, 0)
max(O − C, 0)
O = Open · H = High · L = Low · C = Close. The quantities describe observed event geometry; they do not identify hidden actors or guarantee a future movement.
The Theory Library
Read ten concise research essays derived from the foundational chapters of The Titov Theory of Market Forces.
01Foundational Proposition
02Formal Vocabulary
03The Four-Part Event
04Beyond Gross Totals
05One Event · Four Coordinates
06Geometry Before Interpretation
07Relationships Among Measures
08The Quality of Direction
09One Market · Many Fields
10An Open Research Program
The Titov Science of Market Forces
From the foundational theory to formal method and applied research.



Private Research Session
A focused private session for readers, researchers, analysts, and professionals who want to examine the framework, terminology, or questions raised by the book.
International Conferences
Three international conferences are being planned. Countries, cities, dates, and topics will be published here when confirmed.
City to be announced
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Scientific Position
“A durable theory does not ask to be believed. It defines what can be measured, invites replication, and states the evidence that would require revision.”