Diego Lucio Rapoport (Campodonico) | Universidad Nacional de Quilmes (original) (raw)

Uploads

Papers by Diego Lucio Rapoport (Campodonico)

Research paper thumbnail of Riemann-Cartan-Weyl quantum geometry, I: Laplacians and supersymmetric systems

International Journal of Theoretical Physics, Feb 1, 1996

In this first article of a series dealing with the geometry of quantum mechanics, we introduce th... more In this first article of a series dealing with the geometry of quantum mechanics, we introduce the Riemann-Cartan-Weyl (RCW) geometries of quantum mechanics for spin-0 systems as well as for systems of nonzero spin. The central structure is given by a family of Laplacian (or D'Alembertian) operators on forms of arbitrary degree associated to the RCW geometries. We show that

Research paper thumbnail of On the Unification of Geometric and Random Structures Through Torsion Fields: Brownian Motions, Viscous and Magneto-Fluid-Dynamics

Research paper thumbnail of Surmounting the Cartesian Cut: Klein Bottle Logophysics, The Dirac Algebra and the Genetic Code

Neuroquantology, Dec 1, 2011

Research paper thumbnail of Riemann-Cartan-Weyl geometries, quantum diffusions and the equivalence of the free maxwell and Dirac-Hestenes equations

Advances in Applied Clifford Algebras, Jun 1, 1998

Research paper thumbnail of Riemann-Cartan-Weyl quantum geometry. II Cartan stochastic copying method, Fokker-Planck operator and Maxwell-de Rham equations

International Journal of Theoretical Physics, Oct 1, 1997

Research paper thumbnail of On the geometry of the random representations for viscous fluids and a remarkable pure noise representation

Reports on Mathematical Physics, Oct 1, 2002

Research paper thumbnail of On the interaction of spin and torsion

Annals of Physics, Dec 1, 1984

Research paper thumbnail of Torsion Fields, The Quantum Potential, Cartan-Weyl Space-Time and State-space Geometries and their Brownian Motions

Research paper thumbnail of Torsion Fields, Brownian Motions, Quantum and Hadronic Mechanics

Research paper thumbnail of Random symplectic geometry and the realizations of the random representations of the Navier-Stokes equations by ordinary differential equations

Random Operators and Stochastic Equations, Dec 1, 2003

Research paper thumbnail of Teleparallelism, Brownian Motion, Quantum Mechanics and Fluid-Dynamics, I

The Ninth Marcel Grossmann Meeting, Dec 1, 2002

ABSTRACT Extending the rules of teleparallelism for the introduction of a metric and a connection... more ABSTRACT Extending the rules of teleparallelism for the introduction of a metric and a connection with torsion on a smooth manifold, M, we define generalized Brownian motions on M starting with a standard Wiener process. The laplacian operator generating this diffusion is the square of the teleparallelism connection on M, yet it is found to depend on the trace-torsion, and thus we restrict to Riemann-Cartan-Weyl connections. We extend these constructions to the generalized Brownian motions of differential forms. We apply this to give random covariant implicit solutions of the Navier-Stokes equations. We give the constitutive equations for the trace-torsion Q, and obtain a non-linear wave equation with quantum potential term for a scalar psi appearing in the term d lnpsi of Q. We relate the diffusion with drift ∇lnpsi, to the heat kernel of quantum gravity for a scalar field. In Q appear two electromagnetic potentials which are proved to produce the time-evolution irreversibility of the Brownian motions. They appear related to the rotational degrees of freedom of a massive non-linear Dirac-Hestenes spinor field which defines a global spinor structure on M and a solution of the Clifford-Maxwell equation.

Research paper thumbnail of Realizations of the Random Representations of the Navier-Stokes Equations by Ordinary Differential Equations

Nonlinear phenomena and complex systems, 2004

We give the realizations by ordinary differential equations of the implicit random exact represen... more We give the realizations by ordinary differential equations of the implicit random exact representations for the Navier-Stokes equations on smooth compact manifolds isometrically immersed in Euclidean spaces (viz. spheres, tori, euclidean spaces, etc.). We briefly discuss their relation with a hamiltonean system approach to the Navier-Stokes equations.

Research paper thumbnail of Klein bottle logophysics: a unified principle for non-linear systems, cosmology, geophysics, biology, biomechanics and perception

Journal of physics, Apr 22, 2013

Research paper thumbnail of Stochastic Differential Geometry and the Random Flows of Viscous and Magnetized Fluids in Smooth Manifolds and Eulcidean Space

arXiv (Cornell University), Dec 15, 2000

Research paper thumbnail of Martingale Problem Approach to the Representations of the Navier-Stokes Equations on Smooth Manifolds with Smooth Boundary

arXiv (Cornell University), Apr 2, 2002

Research paper thumbnail of Surmounting the Cartesian Cut: Torsion, Klein Bottle, Stereochemistry, the Biomechanics of the Cell Splitter in Embryogenesis and Bauplans

Research paper thumbnail of Torsion Fields, Cartan–Weyl Space–Time and State-Space Quantum Geometries, their Brownian Motions, and the Time Variables

Foundations of Physics, Mar 24, 2007

Research paper thumbnail of Surmounting the Cartesian Cut Through Philosophy, Physics, Logic, Cybernetics, and Geometry: Self-reference, Torsion, the Klein Bottle, the Time Operator, Multivalued Logics and Quantum Mechanics

Foundations of Physics, Aug 22, 2009

Research paper thumbnail of Non-Riemannian Geometry of Continuous-Spin Infinite- Particle Systems and Their Non-Interaction Representation

Springer eBooks, 2004

ABSTRACT We give a formulation of continuous-spin (taking values in a smooth compact n-manifold, ... more ABSTRACT We give a formulation of continuous-spin (taking values in a smooth compact n-manifold, the one-particle space) infinite particle systems with interactions described by a Gibbsian potential, in terms of stochastic differential geometry. We give invariant constructions for the interaction representation of the random dynamics. In the case of n ≠ 1 (thus excluding the XY-model) we construct a pure-noise representation equivalent to the interaction representation, by constructing the LeJan-Watanabe representation for the Riemann-Cartan- Weyl linear connection defined by the Gibbsian measure and the metric on the single-particle manifold.

Research paper thumbnail of On the Space-Time and State-Space Geometries of Random Processes in Quantum Mechanics

FOUNDATIONS OF PROBABILITY AND PHYSICS - 4 4-9 June 2006 Vaxjo (Sweden) AIP CONF PROC Volume 889, Issue 1 21 February 2007, Mar 1, 2007

ABSTRACT We present the space‐time and Hilbert‐state space quantum geometries and their associate... more ABSTRACT We present the space‐time and Hilbert‐state space quantum geometries and their associated Brownian motions. We discuss the problem of the reduction of the wave function associated to these geometries and their Brownian motions. © 2007 American Institute of Physics

Research paper thumbnail of Riemann-Cartan-Weyl quantum geometry, I: Laplacians and supersymmetric systems

International Journal of Theoretical Physics, Feb 1, 1996

In this first article of a series dealing with the geometry of quantum mechanics, we introduce th... more In this first article of a series dealing with the geometry of quantum mechanics, we introduce the Riemann-Cartan-Weyl (RCW) geometries of quantum mechanics for spin-0 systems as well as for systems of nonzero spin. The central structure is given by a family of Laplacian (or D'Alembertian) operators on forms of arbitrary degree associated to the RCW geometries. We show that

Research paper thumbnail of On the Unification of Geometric and Random Structures Through Torsion Fields: Brownian Motions, Viscous and Magneto-Fluid-Dynamics

Research paper thumbnail of Surmounting the Cartesian Cut: Klein Bottle Logophysics, The Dirac Algebra and the Genetic Code

Neuroquantology, Dec 1, 2011

Research paper thumbnail of Riemann-Cartan-Weyl geometries, quantum diffusions and the equivalence of the free maxwell and Dirac-Hestenes equations

Advances in Applied Clifford Algebras, Jun 1, 1998

Research paper thumbnail of Riemann-Cartan-Weyl quantum geometry. II Cartan stochastic copying method, Fokker-Planck operator and Maxwell-de Rham equations

International Journal of Theoretical Physics, Oct 1, 1997

Research paper thumbnail of On the geometry of the random representations for viscous fluids and a remarkable pure noise representation

Reports on Mathematical Physics, Oct 1, 2002

Research paper thumbnail of On the interaction of spin and torsion

Annals of Physics, Dec 1, 1984

Research paper thumbnail of Torsion Fields, The Quantum Potential, Cartan-Weyl Space-Time and State-space Geometries and their Brownian Motions

Research paper thumbnail of Torsion Fields, Brownian Motions, Quantum and Hadronic Mechanics

Research paper thumbnail of Random symplectic geometry and the realizations of the random representations of the Navier-Stokes equations by ordinary differential equations

Random Operators and Stochastic Equations, Dec 1, 2003

Research paper thumbnail of Teleparallelism, Brownian Motion, Quantum Mechanics and Fluid-Dynamics, I

The Ninth Marcel Grossmann Meeting, Dec 1, 2002

ABSTRACT Extending the rules of teleparallelism for the introduction of a metric and a connection... more ABSTRACT Extending the rules of teleparallelism for the introduction of a metric and a connection with torsion on a smooth manifold, M, we define generalized Brownian motions on M starting with a standard Wiener process. The laplacian operator generating this diffusion is the square of the teleparallelism connection on M, yet it is found to depend on the trace-torsion, and thus we restrict to Riemann-Cartan-Weyl connections. We extend these constructions to the generalized Brownian motions of differential forms. We apply this to give random covariant implicit solutions of the Navier-Stokes equations. We give the constitutive equations for the trace-torsion Q, and obtain a non-linear wave equation with quantum potential term for a scalar psi appearing in the term d lnpsi of Q. We relate the diffusion with drift ∇lnpsi, to the heat kernel of quantum gravity for a scalar field. In Q appear two electromagnetic potentials which are proved to produce the time-evolution irreversibility of the Brownian motions. They appear related to the rotational degrees of freedom of a massive non-linear Dirac-Hestenes spinor field which defines a global spinor structure on M and a solution of the Clifford-Maxwell equation.

Research paper thumbnail of Realizations of the Random Representations of the Navier-Stokes Equations by Ordinary Differential Equations

Nonlinear phenomena and complex systems, 2004

We give the realizations by ordinary differential equations of the implicit random exact represen... more We give the realizations by ordinary differential equations of the implicit random exact representations for the Navier-Stokes equations on smooth compact manifolds isometrically immersed in Euclidean spaces (viz. spheres, tori, euclidean spaces, etc.). We briefly discuss their relation with a hamiltonean system approach to the Navier-Stokes equations.

Research paper thumbnail of Klein bottle logophysics: a unified principle for non-linear systems, cosmology, geophysics, biology, biomechanics and perception

Journal of physics, Apr 22, 2013

Research paper thumbnail of Stochastic Differential Geometry and the Random Flows of Viscous and Magnetized Fluids in Smooth Manifolds and Eulcidean Space

arXiv (Cornell University), Dec 15, 2000

Research paper thumbnail of Martingale Problem Approach to the Representations of the Navier-Stokes Equations on Smooth Manifolds with Smooth Boundary

arXiv (Cornell University), Apr 2, 2002

Research paper thumbnail of Surmounting the Cartesian Cut: Torsion, Klein Bottle, Stereochemistry, the Biomechanics of the Cell Splitter in Embryogenesis and Bauplans

Research paper thumbnail of Torsion Fields, Cartan–Weyl Space–Time and State-Space Quantum Geometries, their Brownian Motions, and the Time Variables

Foundations of Physics, Mar 24, 2007

Research paper thumbnail of Surmounting the Cartesian Cut Through Philosophy, Physics, Logic, Cybernetics, and Geometry: Self-reference, Torsion, the Klein Bottle, the Time Operator, Multivalued Logics and Quantum Mechanics

Foundations of Physics, Aug 22, 2009

Research paper thumbnail of Non-Riemannian Geometry of Continuous-Spin Infinite- Particle Systems and Their Non-Interaction Representation

Springer eBooks, 2004

ABSTRACT We give a formulation of continuous-spin (taking values in a smooth compact n-manifold, ... more ABSTRACT We give a formulation of continuous-spin (taking values in a smooth compact n-manifold, the one-particle space) infinite particle systems with interactions described by a Gibbsian potential, in terms of stochastic differential geometry. We give invariant constructions for the interaction representation of the random dynamics. In the case of n ≠ 1 (thus excluding the XY-model) we construct a pure-noise representation equivalent to the interaction representation, by constructing the LeJan-Watanabe representation for the Riemann-Cartan- Weyl linear connection defined by the Gibbsian measure and the metric on the single-particle manifold.

Research paper thumbnail of On the Space-Time and State-Space Geometries of Random Processes in Quantum Mechanics

FOUNDATIONS OF PROBABILITY AND PHYSICS - 4 4-9 June 2006 Vaxjo (Sweden) AIP CONF PROC Volume 889, Issue 1 21 February 2007, Mar 1, 2007

ABSTRACT We present the space‐time and Hilbert‐state space quantum geometries and their associate... more ABSTRACT We present the space‐time and Hilbert‐state space quantum geometries and their associated Brownian motions. We discuss the problem of the reduction of the wave function associated to these geometries and their Brownian motions. © 2007 American Institute of Physics

Research paper thumbnail of Quantization in Astrophysics, Brownian Motion, and Supersymmetry

The present book discusses, among other things, various quantization phenomena found in Astrophys... more The present book discusses, among other things, various quantization phenomena found in Astrophysics and some related issues including Brownian Motion. With recent discoveries of exoplanets in our galaxy and beyond, this Astrophysics quantization issue has attracted numerous discussions in the past few years. Most chapters in this book come from published papers in various peer-reviewed journals, and they cover different methods to describe quantization, including Weyl geometry, Supersymmetry, generalized Schrödinger, and Cartan torsion method. In some chapters Navier-Stokes equations are also discussed, because it is likely that this theory will remain relevant in Astrophysics and Cosmology While much of the arguments presented in this book are theoretical, nonetheless we recommend further observation in order to verify or refute the propositions described herein. It is of our hope that this volume could open a new chapter in our knowledge on the formation and structure of Astrophysical systems. The present book is also intended for young physicist and math fellows who perhaps will find the arguments described here are at least worth pondering.

Research paper thumbnail of Hadron Models and Related New Energy Issues

The present book covers a wide-range of issues from alternative hadron models to their likely imp... more The present book covers a wide-range of issues from alternative hadron models to their likely implications in New Energy research, including alternative interpretation of lowenergy reaction (coldfusion) phenomena.

Research paper thumbnail of Neutrosophic Logic, Wave Mechanics, and Other Stories

There is beginning for anything; we used to hear that phrase. The same wisdom word applies to us ... more There is beginning for anything; we used to hear that phrase. The same wisdom word applies to us too. What began in 2005 as a short email on some ideas related to interpretation of the Wave Mechanics results in a number of papers and books up to now. Some of these papers can be found in Progress in Physics or elsewhere.

Research paper thumbnail of KLEIN BOTTLE LOGOPHYSICS, THE PRIMEVAL DISTINCTION, SEMIOSIS, PERCEPTION AND THE TOPOLOGY OF CONSCIOUSNESS

George Spencer-Brown, Fifty Years of the Laws of Form, 2020

We elaborate on the Klein Bottle supradual logophysics in relation to semiosis, perception and co... more We elaborate on the Klein Bottle supradual logophysics in relation to semiosis, perception and cognition, and consciousness, and in particular with the Laws of Form by Spencer-Brown. Meaning -and feeling- which is wholly absent in the attempts to produce a theory for consciousness receive primacy in this setting, and related to the Klein and HyperKlein Bottle extensions of selreference and heteroreference. We discuss their bearing in relation with linguistics and the generation of culture.We discuss their fundamental relevance to Peirce's triad, placing Feeling and its supraduality at the basis of this logophysics, rather than procuring Quantum Mechanics as the basic setting which also is connected to the Klein bottle logophysics. We propose this logophysics as the basic principle of an ecological psyche, first introduced by JJ Gibson. We discuss Goethe's theory of colours in terms of this supradual logophysics. We propose a supradual monism and apply it to cognitive mappings retaking Shepard's work in terms of symmetry Lie groups and projective spaces, the former basic to Klein's Erlanger Program and basic to theoretical physics. We relate this to non-orientability as the basis for pattern formation and recognition, and the cognitive map, and the embeddedness in Euclidean space rather than projectivity as the ultimate foundation for modeling. We discuss this topological theory in relation to Heidegger's phenomenology as founded in topology, and the supradual sociology of Berger and Luckmann

Research paper thumbnail of Golden ratio and Klein bottle Logophysics: the Keys of the Codes of Life and Cognition (Reply to Liu et al, " Is the golden ratio a universal constant for self-replication? "

We present 1) a novel unified conception of science, cognition and phenomenology in terms of the ... more We present 1) a novel unified conception of science, cognition and phenomenology in terms of the Klein Bottle logophysics, 2) as a supradual creative agency based on self and hetero-reference and multistate logic associated to the non-orientable topologies of the Moebius strip and Klein Bottle surfaces, 3) the Golden ratio in several areas of biology (particularly genomics), cognition, perception, physics and music, and the multiple biochemical codes of life ; 4) semiosis and topological folding in the génesis of life ; 5) the torsion geometries and non-orientable topologies, and apply them to 6) human-bodyplan, neurosciences, music cognition, structure and processes of thinking, particularly Quantum Mechanics, creativity and the logics of the psyche; 7) a universal principle of self-organization and the genesis of life, the π-related visual cortex and holography; 8) as an harmonic principle in the brain's pattern formation, pattern recognition and morphogenesis, and the topological paradigm to neuroscience; 9) higher-order cybernetics, ontopoiesis and autopoiesis in Systems Biology,the psyche's bi-logic; 10) a rebuttal of Dr. Liu et all's PLOS article claiming the appearance of Phi in genomes as accidental, in terms of the supradual ontopoiesis hereby presented and by reviewing several codes of life discovered by Pérez, which elicit their unity already starting at the level of the periodic table of elements and Life compounds atomic mass; and 11) the Golden mean in the rituals of whales.