11 citations · 80 across the 22 of their papers we have counts for
8 papers · 1 filter
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…
-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 .
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…
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…
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…