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  "physical_half_year_spacing_excess": "623/13754",
  "physical_composite_slope": "7500/6877",
  "interpretation": "The sourced E/J square is an exact affine identity and has two matched-component realizations per coordinate square. Using separate phase-shifted source pivots preserves those comparisons; one fixed physical-time affine map stretches seasonal separation. Its500+600 geometry reaches1100, forty-two above the original1058 side, so it is not the old2K-side-preserving repair."
}