A Local Titov Field uses a comparatively short and spatially narrow lens. An Intermediate Field provides a transition between horizons. An Extended Field uses a broader chronological or spatial domain. These names summarize declared scale tuples and never replace the underlying parameters.
Nested fields share a reference and are constructed so that one declared domain lies inside another. Same-interval nesting differs from cross-interval comparison because changing the interval changes the OHLC events themselves rather than merely combining identical smaller events.
Titov Scale Concordance is agreement among specified field properties across scales. Scale Divergence is a measured disagreement. Divergence is not averaged away because it may reveal that local structure differs materially from the broader environment.
Scale Stability describes persistence across a declared neighborhood of parameters. Scale Transition describes an ordered change through a family, such as ascendant local structure, conflicted intermediate structure, and descendant extended structure. Predictive interpretations remain separate empirical hypotheses.
Key Concepts
The vocabulary of the field.
Titov Scale Family
An ordered collection of complete field-scale tuples evaluated at one observation time.
Titov Scale Concordance
Agreement among explicitly named field properties measured at different scales.
Titov Scale Stability
Persistence of a property across a declared neighborhood of scales.
Research Takeaway
Local, Intermediate, and Extended fields provide different horizons rather than competing claims to one universally true scale.
This essay explains the theory’s definitions and architecture. It does not constitute investment advice, a trading signal, or a promise of future performance.