Abstract
This dataset is the public exact-check and reproducibility archive supporting two companion preprints in Complementarity-First Foundational Release III, Wave A: Reciprocal Internal Complementarity (RIC-P1) and Synthetic Taichi-Encoded Spatial Biphoton Models (RIC-P2). It binds the papers to frozen public fixtures, machine-readable specifications, deterministic source code, archived numerical outputs, claim-to-evidence crosswalks, file-level licensing, checksums, and a unified verifier.
For RIC-P1, the archive includes finite-dimensional matrix checks for the reciprocal elliptic phase block, the explicit one-block-to-two-block carrier lift from a projectively trivial complex line to a two-branch sector, the distinction between complex-linear branch exchange and conjugating reciprocal reversal, covariance of a supplied exchange/XY Hamiltonian, the exact separability-to-entanglement orbit, and the concurrence formula. These checks establish consistency of the declared finite formulas; they do not derive the supplied carrier alignment, physical composite, Hamiltonian, coupling scale, measurement interface, or interpretation.
For RIC-P2, the archive contains the source-complete synthetic model RIC-SYN-TAICHI-DIAGRAM-2D-v1. It fixes the cell-center grid, quadrature, interlocking Taichi Diagram geometry and eyes, Gaussian relative-coordinate envelope, phase controls, typed eye interventions, scan grids, resolution grid, Schmidt-mode convention, finite-sample designs, and mock TRAIN/CALIBRATION/HOLDOUT protocol. The included scripts regenerate the normalized kernel, Schmidt spectrum and modes, intervention and sensitivity tables, source-generated figures, witness quantities, sample-size calculations, complex SVD/Takagi regression controls, and deterministic mock-transfer records. Independent formula-level scripts check the physical idler-ket convention and the additional unitary freedom required within degenerate Takagi singular subspaces.
The archive contains no experimental event data, measured complex field, or reconstruction code from the motivating 2023 biphoton experiment. Its numerical conclusions apply only to the frozen synthetic model, and the mock protocol demonstrates software ordering rather than experimental certification. The exact checks do not replace manuscript proofs, literature-owned results, external human peer review, or independent external replication. They also do not derive a unique physical Hamiltonian, numerical ℏ, the general density-operator Born rule, measurement instruments, one actual outcome, or objective chance.
Where it sits in the release
RIC-D1 is the evidence layer for Wave A — the frozen fixtures and deterministic scripts behind RIC-P1 and RIC-P2.
It is the second Complementarity-First record published as a Dataset rather than a preprint, after CEM-D1 in Release II.
Open dataset (Zenodo) — CC-BY-4.0.