Spectral Distance on Lorentzian Moyal Plane

Abstract

We present here a completely operatorial approach, using Hilbert-Schmidt operators, to compute spectral distances between time-like separated "events ", associated with the pure states of the algebra describing the Lorentzian Moyal plane, using the axiomatic framework given by [13, 14]. The result shows no deformations of non-commutative origin, as in the Euclidean case.

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Cited by in corpus (4)

• Fingerprints of the quantum space-time in time-dependent quantum mechanics: An emergent geometric phase
• Connes spectral distance and nonlocality of generalized noncommutative phase spaces
• Connes spectral distances, quantum discord and coherence of qubits
• Connes distance of $2D$ harmonic oscillators in quantum phase space