11 citations · 80 across the 22 of their papers we have counts for
24 papers
Analysis of observables in FLRW spacetime
P. Fernandez de Cordoba, S. Gavasso, J. M. Isidro
We consider a positively curved FLRW spacetime as a background in which a nonrelativistic quantum particle propagates according to the Schroedinger equation. The probability fluid…
Gravitation as a Statistical Theory on the Light Cone
José M. Isidro, Claudio F. Paganini, Alessandro Pesci
In this paper, we will explore Padmanabhan's mesoscopic, statistical approach to gravity [62] with a twist. The general picture of his approach is that spacetime is made of large n…
Causal Fermion Systems and Octonions
Felix Finster, Niels G. Gresnigt, J. M. Isidro +3
We compare the structures and methods in the theory of causal fermion systems with approaches to fundamental physics based on division algebras, in particular the octonions. We fin…
Theoretically motivated dark electromagnetism as the origin of relativistic MOND
Felix Finster, J. M. Isidro, Claudio F. Paganini +1
The present paper is a modest attempt to initiate the research program outlined in this abstract. We propose that general relativity and relativistic MOND (RelMOND) are analogues o…
A Mechanism for Dark Matter and Dark Energy in the Theory of Causal Fermion Systems
Felix Finster, J. M. Isidro
It is shown that the theory of causal fermion systems gives rise to a novel mechanism for dark matter and dark energy. This mechanism is first worked out for cubical subsets of Min…
On the cosmological constant as a quantum operator
P. Fernandez de Cordoba, R. Gallego Torrome, S. Gavasso +1
We regard the cosmological fluid within an exponentially expanding FLRW spacetime as the probability fluid of a nonrelativistic Schroedinger field. The scalar Schroedinger particle…
On the emergent origin of the inertial mass
Ricardo Gallego Torromé, J. M. Isidro, Pedro Fernández de Córdoba
In the context of a particular framework of emergent quantum mechanics, it is argued the emergent origin of the inertial mass of a physical systems. Two main consequences of the th…
On the cosmological constant of flat FLRW spacetime
P. Fernandez de Cordoba, R. Gallego Torrome, S. Gavasso +1
We consider an exponentially expanding, flat, Friedmann-Lemaitre-Robertson-Walker (FLRW) Universe filled with a free Schroedinger field. The probability fluid of the latter is used…
Hyperbolic space in the Newtonian limit: the cosmological constant
J. C. Castro-Palacio, P. Fernandez de Cordoba, R. Gallego Torrome +1
The cosmological constant and the Boltzmann entropy of a Newtonian Universe filled with a perfect fluid are computed, under the assumption that spatial sections are copies of 3-dim…
On the holographic bound in Newtonian cosmology
P. Fernandez de Cordoba, J. M. Isidro
The holographic principle sets an upper bound on the total entropy content of the Universe. Within the limits of a Newtonian approximation, a quantum-mechanical model is presented…
-Spectrum of the Schrödinger Operator with Inverted Harmonic Oscillator Potential
Felix Finster, J. M. Isidro
We determine the -spectrum of the Schrödinger operator with the inverted harmonic oscillator potential for .
Boltzmann entropy of a Newtonian Universe
D. Cabrera, P. Fernandez de Cordoba, J. M. Isidro
A dynamical estimate is given for the Boltzmann entropy of the Universe, under the simplifying assumptions provided by Newtonian cosmology. We first model the cosmological fluid as…
Entropy, topological theories and emergent quantum mechanics
D. Cabrera, P. Fernandez de Cordoba, J. M. Isidro +1
The classical thermostatics of equilibrium processes is shown to possess a quantum-mechanical dual theory with a finite-dimensional Hilbert space of quantum states. Specifically, t…
Generalised complex geometry in thermodynamical fluctuation theory
P. Fernandez de Cordoba, J. M. Isidro
We present a brief overview of some key concepts in the theory of generalised complex manifolds. This new geometry interpolates, so to speak, between symplectic geometry and comple…
The holographic quantum
P. Fernandez de Cordoba, J. M. Isidro, J. Vazquez Molina
We present a map of standard quantum mechanics onto a dual theory, that of the classical thermodynamics of irreversible processes. While no gravity is present in our construction,…
Schroedinger vs. Navier-Stokes
P. Fernandez de Cordoba, J. M. Isidro, J. Vazquez Molina
Quantum mechanics has been argued to be a coarse-graining of some underlying deterministic theory. Here we support this view by establishing a map between certain solutions of the…
The irreversible quantum
P. Fernandez de Cordoba, J. M. Isidro, Milton H. Perea +1
We elaborate on the existing notion that quantum mechanics is an emergent phenomenon, by presenting a thermodynamical theory that is dual to quantum mechanics. This dual theory is…
Emergent quantum mechanics as a thermal ensemble
P. Fernandez de Cordoba, J. M. Isidro, Milton H. Perea
It has been argued that gravity acts dissipatively on quantum-mechanical systems, inducing thermal fluctuations that become indistinguishable from quantum fluctuations. This has le…
Emergence from irreversibility
P. Fernandez de Cordoba, J. M. Isidro, Milton H. Perea
The emergent nature of quantum mechanics is shown to follow from a precise correspondence with the classical theory of irreversible thermodynamics.
Emergent quantum mechanics as a classical, irreversible thermodynamics
D. Acosta, P. Fernandez de Cordoba, J. M. Isidro +1
We present an explicit correspondence between quantum mechanics and the classical theory of irreversible thermodynamics as developed by Onsager, Prigogine et al. Our correspondence…
A holographic map of action onto entropy
D. Acosta, P. Fernandez de Cordoba, J. M. Isidro +1
We propose a holographic correspondence between the action integral I describing the mechanics of a finite number of degrees of freedom in the bulk, and the entropy S of the bounda…
An entropic picture of emergent quantum mechanics
D. Acosta, P. Fernandez de Cordoba, J. M. Isidro +1
Quantum mechanics emerges a la Verlinde from a foliation of space by holographic screens, when regarding the latter as entropy reservoirs that a particle can exchange entropy with.…
Positive curvature can mimic a quantum
J. M. Isidro, J. L. G. Santander, P. Fernandez de Cordoba
We elaborate on the existing idea that quantum mechanics is an emergent phenomenon, in the form of a coarse-grained description of some underlying deterministic theory. We apply th…
The Ricci flow on Riemann surfaces
S. Abraham, P. Fernandez de Cordoba, J. M. Isidro +1
We establish a 1-to-1 relation between metrics on compact Riemann surfaces without boundary, and mechanical systems having those surfaces as configuration spaces.