Toller matrices T^(±) in causal spinfoam amplitudes satisfy T^(+) + T^(-) = D and admit equivalent definitions via analyticity, iε prescription, and boost-eigenvalue integrals that reproduce the Euclidean-to-Lorentzian Wick rotation.
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The deferred cyclotomic representation (DCR) is a parameter-independent combinatorial object for q-hypergeometric series that resolves numerator-denominator cancellations exactly as integer arithmetic prior to evaluation in any target field.
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Toller matrices and the Feynman $i\varepsilon$ in spinfoams
Toller matrices T^(±) in causal spinfoam amplitudes satisfy T^(+) + T^(-) = D and admit equivalent definitions via analyticity, iε prescription, and boost-eigenvalue integrals that reproduce the Euclidean-to-Lorentzian Wick rotation.
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Deferred Cyclotomic Representation for Stable and Exact Evaluation of q-Hypergeometric Series
The deferred cyclotomic representation (DCR) is a parameter-independent combinatorial object for q-hypergeometric series that resolves numerator-denominator cancellations exactly as integer arithmetic prior to evaluation in any target field.