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 3: Electron-electron scattering is therefore not the same as electron-electron full-depth contact.
Provenance
Preserved from interaction notebook section 3, 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.
3. Electron-electron scattering is therefore not the same as electron-electron full-depth contact
Scattering can result from the interaction of extended tails at nonzero centre separation. No additional mechanism is needed merely to allow interaction before the centres meet.
A calculation must predict the changes in the two patterns' motion, orientation and field structure from their common dynamics. It must retain causal propagation of changes, energy and momentum balance, and the response of both patterns.
The photon's assigned depth does not by itself specify the dimensionality of the electron-electron force or a projection used by a detector. An electromagnetic reduction remains open until derived. An additional excitation or restructuring process must likewise follow from the actual field evolution; it is not defined by imposing exact centre coincidence.
Related
- Research status — current proof boundaries and correction guidance.
- Two different notions of encounter — preceding section in the research sequence.
- General depth-mediated interaction rule — following section in the research sequence.