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Proves the exact recoverability of the torsion tensor in spacetime, suggesting new methods for reconstruction.
This paper proves that the full 24‑component torsion tensor is exactly recoverable from time‑resolved twistor transport. The logarithmic derivative of each propagator returns the instantaneous chiral generator, and the torsion map factorises as a tensor‑product DV=(EV⊗ϕ)∘C, giving rank 6 rank V. Four probe directions spanning spacetime are necessary and sufficient for pointwise reconstruction, including all‑null tetrahedral probes. Two full‑spinor jets or three projective-ray jets determine the generator, while finite holonomy samples never identify an arbitrary torsion history. The reconstruction is gauge‑covariant and metric‑free after Levi‑Civita subtraction.
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Hiroyuki Shioiri (2026) studied this question.
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