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 5: First comparison with the observed interaction pattern.

Provenance

Preserved from interaction notebook section 5, 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.

5. First comparison with the observed interaction pattern

5.1 Electromagnetic response remains a dynamical calculation

The assigned particle depths and available invariant current structures can guide a same-field response calculation. Identifying an electromagnetic force, its dimensional reduction and its measured normalization requires that calculation. Interaction through extended tails does not require centre coincidence.

5.2 Weak charged current: interaction changes particle depth

Current V2 writes the weak blocks schematically as

P3D∞P4 P_3D_\infty P_4

for up-type to down-type quarks,

P6D∞P5 P_6D_\infty P_5

for neutrino to charged-lepton transitions, and

P10D∞P5 P_{10}D_\infty P_5

for the tau channel.

These written transition candidates are off-diagonal depth-changing operators.

That is qualitatively striking:

4↔3,5↔6,5↔10. 4\leftrightarrow3, \qquad 5\leftrightarrow6, \qquad 5\leftrightarrow10.

The observed weak interaction really does convert members of quark and lepton multiplets into one another rather than merely exerting a diagonal force. In the V2 geometry, this is exactly the kind of process represented by PaD∞PbP_aD_\infty P_b with a≠ba\neq b.

However, the current leading mode operator is insufficient to derive observed CKM mixing; the existing CKM audit proves that bare one-direction loss cannot even support u→su\to s. Genuine mode-changing dynamics in the cross-sector remainder is required.

Thus the depth-changing character survives as a promising structural match, while the detailed transition matrix remains open.

5.3 Colour: not explained by adjacent depth difference alone

The direct quark depths are 3 and 4, whose normal difference is only one dimension and has trivial continuous spin group. Current V2 therefore does not obtain SU(3)SU(3) colour merely from the local 4→34\to3 normal direction.

Instead, the colour candidate is associated with a larger normal geometry containing

Spin(6)≅SU(4) Spin(6)\cong SU(4)

and a selected SU(3)SU(3) subgroup, with quark projectors transforming nontrivially and lepton projectors as singlets.

This is a useful negative result: the simple rule

force group=Spin(∣b−a∣) \text{force group}=Spin(|b-a|)

is false.

Depth difference supplies a candidate normal structure, but the physical interaction group depends on holonomy reduction and representation selection.

5.4 Gravity: full marginal plus singlet channel

The current polarization module identifies scalar and stress-energy bilinears as normal singlets, making gravity the least representation-sensitive channel.

If that survives the full master dynamics, it would explain why essentially every sector can participate:

full geometric contact+normal singlet⟹universal interaction candidate. \boxed{ \text{full geometric contact} + \text{normal singlet} \Longrightarrow \text{universal interaction candidate}. }

This is qualitatively consistent with gravity coupling to all stress-energy rather than only selected charge sectors.