What question did this study set out to answer?

The research aims to establish a fundamental constraint on reality based on triadic coupling.

March 22, 2026Open Access

CAT's Theory: The Meta-Ontological Selection Rule: A Unified Constraint on Vacuum Persistence and Dimensional Condensation

Key Points

The research aims to establish a fundamental constraint on reality based on triadic coupling.
Developed an architecture positing a relationship among structural capacity, relational intent, and instantiative presence.
Formulated a mathematical invariant to assess reality's persistence under specific conditions.
Identified the necessity of 3-dimensional space for persistence.
Predicted the primordial scalar spectral index with zero free parameters.

Abstract

This architecture posits a fundamental constraint on the possibility of persistence: the non-vanishing triadic coupling of structural capacity (), relational intent (), and instantiative presence (P). Reality can only exist where this coupling is non-zero. citeₛtartFormally, the Invariant = _ Tr (P) \, dV 0. Testable consequences include the forced dimensional condensation sequence 7 9 8, a discrete permittivity structure proportional to the 1/45 invariant, and a fixed deconfinement scale at 164 MeV. Furthermore, this topological constraint formally derives the necessity of 3-dimensional space and predicts the primordial scalar spectral index (nₛ 0. 9615) with zero free parameters

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