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19922023
most citedHilbert Space Representation of the Minimal Length Uncertainty Relation

2k citations · 24.3k across the 418 of their papers we have counts for

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Showing 2010Show all

12 papers · 1 filter

hep-th2010★ 23 cited

Instability of the Noncommutative Geometry Inspired Black Hole

Eric Brown, Robert B. Mann

Non-commutative geometries have been proposed as an approach to quantum gravity and have led to the construction of non-commutative black holes, whose interior singularities are pu…

quant-ph2010★ 137 cited

Using Berry's phase to detect the Unruh effect at lower accelerations

E. Martin-Martinez, I. Fuentes, R. B. Mann

We show that a detector acquires a Berry phase due to its motion in spacetime. The phase is different in the inertial and accelerated case as a direct consequence of the Unruh effe…

gr-qc2010★ 4 cited

Analysis of Two-Particle Systems in 2 + 1 Gravity Through Hamiltonian Dynamics

Alexandre Yale, R. B. Mann, Tadayuki Ohta

We study the dynamics of particles coupled to gravity in (2 + 1) dimensions. Using the ADM formalism, we derive the general Hamiltonian for an N-body system and analyze the dynamic…

hep-th2010★ 95 cited

Pathologies in Asymptotically Lifshitz Spacetimes

Keith Copsey, Robert Mann

There has been significant interest in the last several years in studying possible gravitational duals, known as Lifshitz spacetimes, to anisotropically scaling field theories by a…

quant-ph2010★ 138 cited

Entanglement of Dirac fields in an expanding spacetime

I. Fuentes, R. B. Mann, E. Martin-Martinez +1

We study the entanglement generated between Dirac modes in a 2-dimensional conformally flat Robertson-Walker universe. We find radical qualitative differences between the bosonic a…

quant-ph2010★ 3 cited

Any quantum state can be cloned in the presence of closed timelike curves

D. Ahn, T. C. Ralph, R. B. Mann

The possible existence of closed timelike curves (CTCs) draws attention to fundamental questions about what is physically possible and what is not. An example is the "no cloning th…