38 citations · 382 across the 75 of their papers we have counts for
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On Padmanabhan's duality invariance and the quantum of length
P. Fernandez de Cordoba, J. M. Isidro, A. Pereira Garcia
We provide a field-theoretic construction of Padmanabhan's duality-invariant Feynman propagator for a massive point particle in Euclidean space . Padmanabhan's propag…
On the noncommutative eikonal
J. M. Isidro, P. Fernandez de Cordoba, J. M. Rivera-Rebolledo +1
We study the eikonal approximation to quantum mechanics on the Moyal plane. Instead of using a star product, the analysis is carried out in terms of operator-valued wavefunctions d…
Remarks on the representation theory of the Moyal plane
J. M. Isidro, P. Fernandez de Cordoba, J. M. Rivera-Rebolledo +1
We present an explicit construction of a unitary representation of the commutator algebra satisfied by position and momentum operators on the Moyal plane.
On the Ricci flow and emergent quantum mechanics
J. M. Isidro, J. L. G. Santander, P. Fernandez de Cordoba
The Ricci flow equation of a conformally flat Riemannian metric on a closed 2-dimensional configuration space is analysed. It turns out to be equivalent to the classical Hamilton-J…
A mechanics for the Ricci flow
S. Abraham, P. Fernandez de Cordoba, J. M. Isidro +1
We construct the classical mechanics associated with a conformally flat Riemannian metric on a compact, n-dimensional manifold without boundary. The corresponding gradient Ricci fl…
Ricci flow, quantum mechanics and gravity
J. M. Isidro, J. L. G. Santander, P. Fernandez de Cordoba
It has been argued that, underlying any given quantum-mechanical model, there exists at least one deterministic system that reproduces, after prequantisation, the given quantum dyn…
A note on the quantum-mechanical Ricci flow
J. M. Isidro, J. L. G. Santander, P. Fernandez de Cordoba
We obtain Schroedinger quantum mechanics from Perelman's functional and from the Ricci flow equations of a conformally flat Riemannian metric on a closed 2-dimensional configuratio…
Star products on generalised complex manifolds
J. M. Isidro
We regard classical phase space as a generalised complex manifold and analyse the B-transformation properties of the *-product of functions. The C*-algebra of smooth functions tran…
Dirac brackets from magnetic backgrounds
J. M. Isidro
In symplectic mechanics, the magnetic term describing the interaction between a charged particle and an external magnetic field has to be introduced by hand. On the contrary, in ge…
Abelian gerbes as a gauge theory of quantum mechanics on phase space
J. M. Isidro, M. A. de Gosson
We construct a U(1) gerbe with a connection over a finite-dimensional, classical phase space P. The connection is given by a triple of forms A,B,H: a potential 1-form A, a Neveu-Sc…
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…
Generalised Complex Geometry and the Planck Cone
J. M. Isidro
Complex geometry and symplectic geometry are mirrors in string theory. The recently developed generalised complex geometry interpolates between the two of them. On the other hand,…
Noncommutative Manifolds from the Higgs Sector of Coincident D-Branes
J. M. Isidro
The Higgs sector of the low-energy physics of n of coincident D-branes contains the necessary elements for constructing noncommutative manifolds. The coordinates orthogonal to the…
A Quantum is a Complex Structure on Classical Phase Space
J. M. Isidro
Duality transformations within the quantum mechanics of a finite number of degrees of freedom can be regarded as the dependence of the notion of a quantum, i.e., an elementary exci…
Projective Quantum Mechanics
J. M. Isidro
We study the quantisation of complex, finite-dimensional, compact, classical phase spaces C, by explicitly constructing Hilbert-space vector bundles over C. We find that these vect…
Quantum Mechanics in Infinite Symplectic Volume
J. M. Isidro
We quantise complex, infinite-dimensional projective space CP(H). We apply the result to quantise a complex, finite-dimensional, classical phase space C whose symplectic volume is…
Nonperturbative flipped SU(5) vacua in Horava-Witten theory
A. E. Faraggi, R. Garavuso, J. M. Isidro
There is good support for the embedding of the Standard Model fermions in the chiral 16 representation of SO(10). Such an embedding is provided by the realistic free fermionic hete…
Relativity of
J. M. Isidro
Looking for a quantum-mechanical implementation of duality, we formulate a relation between coherent states and complex-differentiable structures on classical phase space ${\cal C}…
Nonperturbative flipped SU(5) vacua in heterotic M-theory
Alon E. Faraggi, Richard Garavuso, Jose M. Isidro
The evidence for neutrino masses in atmospheric and solar neutrino experiments provides further support for the embedding of the Standard Model fermions in the chiral 16 SO(10) rep…
Twisted K-theory in from D-branes
J. M. Isidro
We study the wrapping of N type IIB Dp-branes on a compact Riemann surface in genus by means of the Sen-Witten construction, as a superposition of N' type IIB Dp'-brane/a…
The Geometry of Quantum Mechanics
J. M. Isidro
A recent notion in theoretical physics is that not all quantum theories arise from quantising a classical system. Also, a given quantum model may possess more than just one classic…