Covariant quantum mechanics applied to noncommutative geometry

Conceptual and Technical Challenges for Quantum Gravity 2014 – Parallel session: Noncommutative Geometry and Quantum Gravity

Astuti, Valerio^1,2

Dipartimento di Fisica, Universitá di Roma la Sapienza, P.le A. Moro 2, Italy^1

INFN, Sez. Roma, P.le A. Moro 2, 00185, Roma

00185, Italy^2

关键词: Covariant;    Covariant formalism;    Minkowski space-time;    Non-commutative geometry;    Spacetime;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/634/1/012007/pdf
DOI  :  10.1088/1742-6596/634/1/012007

来源: IOP

【 摘 要 】

We here report a result obtained in collaboration with Giovanni Amelino-Camelia, first shown in the paper [1]. Applying the manifestly covariant formalism of quantum mechanics to the much studied Snyder spacetime [2] we show how it is trivial in every physical observables, this meaning that every measure in this spacetime gives the same results that would be obtained in the flat Minkowski spacetime.