Dimensional constriction and hadronic mass

Current 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. Particle patterns have different dimensional involvement in that space. The ten-dimensional matter domain is presently modeled by flat $\mathbb R^{10}$ . Nested layers describe proposed spatial support, not additional manifolds. Depth counts a pattern's dimensional involvement, not a separate containing space. The familiar three dimensions describe the observer's view, not the ambient dimension. All spatial directions are of the same physical kind. Confinement and persistence of the layers remain dynamical questions.

Mathematical scope: Projective, round-sphere and prescribed global-nesting calculations below retain their stated additional premises. Their curvature, topology and finite-volume normalizations are conditional comparisons; they do not establish the current flat spatial geometry. Field components and mode spaces are distinct from physical position. IDWT has no compactified dimensions or mediator particles; interactions must come from $\Psi_\infty$ . See spatial meaning and mathematical scope.

Current scope: This is an exploratory calculation ledger, not a derived hadron-mass formula. Numerical residuals and trial normalizations below are conditional comparisons. Neither $154.808228$ MeV nor twice that value is an established constriction eigenfrequency. Section 2 distinguishes action from frequency; Sections 64--76 give the normalization and spectral limitations.

The trial oscillator functions below are classical spatial-mode comparisons with specified normalization. Their squared magnitude is a trial field intensity or contact weight, not a Born distribution of particle positions. They do not replace literal deterministic trajectories, including the electron's six-dimensional orbit used in the geometry comparisons.