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The bundles of algebraic and Dirac–Hestenes spinor fields
TLDR
We clarify the ontology of Dirac–Hestenes spinor fields (DHSF) and its relationship with even multivector fields, on a Riemann–Cartan spacetime (RCST) admitting a spin structure. Expand
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Vacuum fluctuations and the small scale structure of spacetime.
We show that vacuum fluctuations of the stress-energy tensor in two-dimensional dilaton gravity lead to a sharp focusing of light cones near the Planck scale, effectively breaking space up into aExpand
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Multivector Dirac Equation and ℤ 2-Gradings of Clifford Algebras
AbstractWe generalize certain aspects of Hestenes's approach to Dirac theory to obtain multivector Dirac equations associated to a large class of representations of the gamma matrices. This is doneExpand
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Analogue model for anti-de Sitter as a description of point sources in fluids
We introduce an analogue model for a nonglobally hyperbolic spacetime in terms of a two-dimensional fluid. This is done by considering the propagation of sound waves in a radial flow with constantExpand
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Geometry of the cholesteric phase
We propose a construction of a cholesteric pitch axis for an arbitrary nematic director field as an eigenvalue problem. Our definition leads to a Frenet-Serret description of an orthonormal triadExpand
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Classical kinetic energy, quantum fluctuation terms and kinetic-energy functionals
We employ a recently formulated dequantization procedure to obtain an exact expression for the kinetic energy which is applicable to all kinetic-energy functionals. We express the kinetic energy ofExpand
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Quantum-classical correspondence via a deformed kinetic operator
We propose an approach to quantum–classical correspondence based on a deformation of the momentum and kinetic operators of quantum mechanics. Making use of the factorization method, we constructExpand
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Variational approach to dequantization
We present a dequantization procedure based on a variational approach whereby quantum fluctuations latent in the quantum momentum are suppressed. This is done by adding generic local deformations toExpand
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Evolution of populations expanding on curved surfaces
The expansion of a population into new habitat is a transient process that leaves its footprints in the genetic composition of the expanding population. How the structure of the environment shapesExpand
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Fisher information and kinetic energy functionals: A dequantization approach
TLDR
We strengthen the connection between information theory and quantum-mechanical systems using a recently developed dequantization procedure whereby quantum fluctuations latent in the quantum momentum are suppressed. Expand
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