Physical premise (IDWT): Physical spacetime has infinitely many ordinary spatial dimensions plus time. Matter occupies up to ten spatial dimensions; all remaining spatial directions are unbound for every particle. Depth counts a pattern's bound spatial involvement within that space. “Observed” and “unobserved” describe an observer's access, not different kinds of dimension. Older projective and nested-geometry calculations below retain their additional hypotheses; they do not establish a separate physical manifold or compactified direction. See spatial meaning and mathematical scope.

Summary: Research record, section 1: Question.

Provenance

Preserved from interaction notebook section 1, recorded 2026-09-05 and corrected 2026-09-06. Original sequence contents. This is an exploratory research record, not an independently established V2 result. Read the related later audits before using an intermediate conclusion.

1. Question

The spatial-correlation hypothesis allows an interaction to change the full higher-dimensional separation of two particles. Approach in the observed coordinates can then be correlated with changes in their remaining spatial separations, rather than treating those components as independent.

Then ask whether the existing V2 cross-depth contact and polarization structure produces recognizable qualitative interaction patterns among particles of different assigned depths.

The committed particle depths used here are

dγ=2,dd,s,b=3,du,c,t=4,dν=5,de,μ=6,dτ=10. d_\gamma=2, \qquad d_{d,s,b}=3, \qquad d_{u,c,t}=4, \qquad d_\nu=5, \qquad d_{e,\mu}=6, \qquad d_\tau=10.

This note is exploratory. It does not treat a qualitative resemblance to the Standard Model interaction pattern as a derivation.