Foundations of Quantum Physics II: The Time-Light Möbius φ, π, and the Topology of Recursive Closure

This restricted record contains the second paper in the ENSO series Foundations of Quantum Physics.

The paper proposes a topological model for the relation between time and light within the ENSO framework. It interprets φ as the temporal face of recursive persistence and π as the luminous face of completed return, arguing that these are not merely two constants in balance but two local faces of a single twisted closure surface.

A Möbius-type identification is used as the minimal topology of conjugate return:

(s, u) ~ (s + 2π, -u)

Under this identification, one circuit exchanges the φ-time and π-light faces, while two circuits restore identity. The paper does not claim that physical spacetime is literally a Möbius strip. Rather, it uses the Möbius structure as a minimal model for local opposition, global continuity, phase inversion, and double-cover behaviour.

Building on the preceding paper, Closure Selects the Imaginary, the paper connects local closure planes carrying J² = -I with the global transport question: whether physical phase transport preserves J or returns it as -J, requiring double-cover restoration. The upload includes a Python validation script illustrating the face-exchange structure and the two possible J-transport cases.

For further information about the ENSO framework, please contact Eric Needham:ensotheory1@gmail.com