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Relativistic implications of entropy and purity
Joseph Balsells, Martin Bojowald
A quantum object is extended by virtue of uncertainty. When subjected to gravity, different parts of its wave function experience distinct local relativistic effects, leading to ti…
Quantum proper time: A Finsler space from entropy and purity
Joseph Balsells, Martin Bojowald
A quantum clock cannot be modeled as a point mass moving along a single geodesic if it is in a state with nonzero position fluctuations. Instead, it is an extended object subject t…
Large effects from quantum reference frames
Martin Bojowald, Luis Martinez
Reference frames are used to parameterize measurements of physical effects, but since their practical realization uses material objects, they may affect observations performed in a…
Geometric measure of quantum complexity in cosmological systems
Satyaki Chowdhury, Martin Bojowald, Jakub Mielczarek
In Nielsen's geometric approach to quantum complexity, the introduction of a suitable geometrical space, based on the Lie group formed by fundamental operators, facilitates the ide…
Geometric quantum complexity of bosonic oscillator systems
Satyaki Chowdhury, Martin Bojowald, Jakub Mielczarek
According to the pioneering work of Nielsen and collaborators, the length of the minimal geodesic in a geometric realization of a suitable operator space provides a measure of the…