Calculation record

Positive moving-frame evolution and the reciprocal normalization bound.

The unitary histories below are specified changes of mode frame. Their
realization by a physical geometry is an additional requirement.

Research context

  • Periodic motion, preserved mass ratios and reciprocal support

    Periodic endpoint motion preserves the leading simplex ratios with an explicit uniform error bound, but its reciprocal shape source and positive supporting energy remain essential; exact moving-frame transport gives a separate conditional frequency-preserving action.

Interpret numerical checks within the assumptions and limitations documented in these notes.