Boundary time crystals emerge from non-reciprocal operator transport in an irreducible tensor representation of the Liouvillian, unifying collective precession, relaxation, and BTC phases via delocalized eigenmodes.
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Renormalizing the Dirac field by the metric determinant and lattice regularization produces PT-symmetric Hamiltonians for static diagonal metrics and non-Hermitian dynamics with skin effect or nonunitary evolution for time- or space-dependent metrics.
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Metric-induced non-Hermitian physics
Renormalizing the Dirac field by the metric determinant and lattice regularization produces PT-symmetric Hamiltonians for static diagonal metrics and non-Hermitian dynamics with skin effect or nonunitary evolution for time- or space-dependent metrics.