Observational Binarity Under Finite Interfaces: A Structural Clarification

Abrupt “on/off” behavior is frequently interpreted as evidence of underlying ontological discontinuity. This technical note proposes a structural clarification: in systems mediated by finite interfaces, apparent binarity may arise as a consequence of induced metric organization rather than as a property of the underlying domain itself.

When a finite discriminative interface maps a domain into a reduced representational space, non-injectivity, compression, and resolution limits may generate sharp observational regime boundaries. Continuous variations in the underlying domain may therefore appear discontinuous within the accessible metric space.

The note distinguishes between:

• ontological discontinuity (a genuine structural change in the underlying system), and

• observational binarity (a discontinuity in accessible representation induced by finite interface geometry).

The aim is methodological rather than ontological. The analysis introduces a diagnostic filter for interpreting regime shifts without presupposing intrinsic discontinuities in the underlying domain.

No domain-specific claims are made; the clarification applies at the level of structural description.