Synchronize the body-level manuscript refinements

[GoGoKo699]

Summary

This small synchronization update aligns the single supporting repository with the finalized body-level manuscript terminology and scope.

• promotes the coordinate/frame separation to a main-text interpretation with Appendix-B proof and executable support;
• records the ambient-sphere phase metric as the adopted manuscript convention and keeps the projective block as an unused comparison;
• promotes coefficient-one-norm reflection sampling to a main-text extension with executable support;
• aligns the statistical notation with chi, nu, tau, and G_ph^sph;
• rewrites the observable guide with the manuscript's a_alpha and Lambda notation, explicit unbiasedness, the Lambda^2 sufficient-shot factor, and a matched scalar comparator.

Scope

No circuit builder, decoder, test, dependency, workflow, or headline theorem changes. The paper remains self-contained; the repository supplies detailed derivations, exact-logical checks, and engineering guidance.

Validation

The changed files are documentation-only. Existing analytic and exact-logical workflows are expected to remain unchanged.