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 19: Exchange symmetry and Pauli suppression of full-depth contact.

Provenance

Preserved from interaction notebook section 19, 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.

19. Exchange symmetry and Pauli suppression of full-depth contact

This section is an external antisymmetric two-particle amplitude comparison. Its nodal identity is exact under the specified antisymmetry; IDWT has not derived this amplitude or its contact functional from deterministic electron trajectories. It must not be substituted for those trajectories.

In the conventional identical-fermion description the combined amplitude is antisymmetric under

(q1,s1)↔(q2,s2), (q_1,s_1)\leftrightarrow(q_2,s_2),

where sis_i denotes the remaining spin/polarization labels.

Consequently a pointlike symmetric scalar contact at the diagonal can be suppressed or vanish for channels whose sector-coordinate wavefunction is antisymmetric at coincidence.

Schematically, for an antisymmetric relative state

Ψ−(q1,q2)=−Ψ−(q2,q1), \Psi_-(q_1,q_2) =-\Psi_-(q_2,q_1),

we have on the diagonal

Ψ−(q,q)=0. \boxed{\Psi_-(q,q)=0.}

Therefore

⟨Ψ−∣δΔ6∣Ψ−⟩=0 \langle\Psi_-|\delta_{\Delta_6}|\Psi_-\rangle=0

for an ideal order-zero point contact.

A symmetric spatial/sector channel paired with the appropriate antisymmetric spin state need not vanish. Finite-width, derivative, or tensor interactions can also survive in channels where the strict scalar delta contact is zero.

This comparison illustrates a possible channel-selective contact zero. It does not derive a suppression of physical six-dimensional electron contact in IDWT, its rate relative to Moller scattering, or a beam-polarization prediction. Those require the same-field dynamics of the actual trajectories and an independently justified response rule.