Pq-bit

A new interpretation of the photon as a recursive mirror state, not a wave nor a particle within spacetime, but as a binary oscillation within a recursive time operator prior to the emergence of space.

We define this state as the Pq-bit (Photon Quantum Bit), a foundational unit in the 3D Collatz Octave Model (3DCOM).

This resolves the wave-particle duality, explains diffraction and reflection geometries without requiring a pre-existing space background, and provides a basis for experimental tests of recursive photon geometry.

The recent experimental tests of Bohmian mechanics provide strong evidence of well-defined quantum particle trajectories guided by pilot waves, challenging classical and orthodox quantum interpretations.

In this work, we demonstrate how the 3D Collatz Octave Model (3DCOM) — with its foundational concept of the photon as a recursive mirror oscillator Q-bit — naturally explains these results without invoking classical hidden variables.

We interpret Bohmian trajectories as recursive attractor paths on the emergent 3D topology generated by recursive folding of fundamental oscillatory phase states.

This framework unifies quantum measurement, nonlocal correlations, and particle-wave duality as manifestations of recursive field topology, advancing a coherent ontological basis for quantum phenomena.

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