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Testing non-associative quantum mechanics
Martin Bojowald, Suddhasattwa Brahma, Umut Buyukcam
The familiar concepts of state vectors and operators in quantum mechanics rely on associative products of observables. However, these notions do not apply to some exotic systems su…
Minisuperspace models as infrared contributions
Martin Bojowald, Suddhasattwa Brahma
A direct correspondence of quantum mechanics as a minisuperspace model for a self-interacting scalar quantum-field theory is established by computing, in several models, the infrar…
Covariance in models of loop quantum gravity: Gowdy systems
Martin Bojowald, Suddhasattwa Brahma
Recent results in the construction of anomaly-free models of loop quantum gravity have shown obstacles when local physical degrees of freedom are present. Here, a set of no-go prop…
Covariance in models of loop quantum gravity: Spherical symmetry
Martin Bojowald, Suddhasattwa Brahma, Juan D. Reyes
Spherically symmetric models of loop quantum gravity have been studied recently by different methods that aim to deal with structure functions in the usual constraint algebra of gr…