38 citations · 382 across the 75 of their papers we have counts for
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Gerbes and Heisenberg's Uncertainty Principle
J. M. Isidro
We prove that a gerbe with a connection can be defined on classical phase space, taking the U(1)-valued phase of certain Feynman path integrals as Cech 2-cocycles. A quantisation c…
Gerbes, Quantum Mechanics and Gravity
J. M. Isidro
We prove that invariance of a quantum theory under the semiclassical vs. strong-quantum duality , where S is the classical action, is equivalent…
A Quantum-Gravity Perspective on Semiclassical vs. Strong-Quantum Duality
J. M. Isidro
It has been argued that, underlying M-theoretic dualities, there should exist a symmetry relating the semiclassical and the strong-quantum regimes of a given action integral. On th…
Magnetic Backgrounds from Generalised Complex Manifolds
J. M. Isidro
The magnetic backgrounds that physically give rise to spacetime noncommutativity are generally treated using noncommutative geometry. In this article we prove that also the theory…
Moduli of Quanta
J. M. Isidro
The classical phase of the matrix model of 11-dimensional M-theory is complex, infinite-dimensional Hilbert space. As a complex manifold, the latter admits a continuum of nonequiva…
Semiclassical Expansions, the Strong Quantum Limit, and Duality
J. M. Isidro
We show how to complement Feynman's exponential of the action so that it exhibits a Z_2 duality symmetry. The latter illustrates a relativity principle for the notion of quantum ve…