Emergent quantum mechanics as a classical, irreversible thermodynamics

Acosta, D.; Córdoba, Pedro Fernández de; Isidro, J. M.; Santander, J. L. G.

doi:10.48550/arxiv.1206.4941

Cited by 5 publications

(17 citation statements)

References 24 publications

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“…provide us with a dictionary to establish a 1-to-1 map between the linear, irreversible thermodynamics of section 2 and the quantum mechanics of the harmonic oscillator. Specifically, let us spell out the entries of this map, one by one [2]. The mechanical Lagrangian ( 21) is readily obtained from its thermodynamical counterpart ( 16) upon application of the replacements ( 22), (23):…”

Section: Quantum Mechanics Vs Irreversible Thermodynamicsmentioning

confidence: 99%

The Holographic Quantum

2016

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Section: Quantum Mechanics Vs Irreversible Thermodynamicsmentioning

confidence: 99%

The Holographic Quantum

2016

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“…Here one is given a certain measure space Y (here assumed equal to R endowed with the Lebesgue measure) and the corresponding Banach spaces L 1 (R) and its topological dual L ∞ (R). These two will become carrier spaces for representations of the Chapman-Kolmogorov equation (1).…”

Section: The Representation In Irreversible Thermodynamicsmentioning

confidence: 99%

“…The functional equation (1), in its different guises, will play an important role in what follows. We see that its solutions are by no means unique, depending as they do on the space where one tries to solve the equation.…”

Section: Introductionmentioning

confidence: 99%

“…We will be interested in the quantum theory based on X , and in the theory of irreversible thermodynamics in the linear regime based on Y [16]. There exist profound analogies between these two theories [1,8,15,19,20]. Furthermore, seeming mismatches between the two actually have a natural explanation in the context of the emergent approach to quantum theory [2,4]; closely related topics were analysed long ago in [3] and more recently in [5,7,9,10,12,14,17,21,22].…”

Section: Introductionmentioning

confidence: 99%

“…We have in [1,8] tocuhed on several basic issues concerning a thermodynamical formalism for quantum theory. Specifically, a map has been constructed between the quantum mechanics of a finite number of degrees of freedom, on the one hand, and the theory of irreversible processes in the linear regime, on the other.…”

Section: Introductionmentioning

confidence: 99%

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The irreversible quantum

Córdoba

Isidro

Perea

et al. 2014

Int. J. Geom. Methods Mod. Phys.

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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 that of classical irreversible thermodynamics. The linear regime of irreversibility considered here corresponds to the semiclassical approximation in quantum mechanics. An important issue we address is how the irreversibility of time evolution in thermodynamics is mapped onto the quantum-mechanical side of the correspondence.

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Implicit Multi-Fold Mechanisms in a Neural Network Model of the Universe

Maes¹

2022

Preprint

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In a multi-fold universe, gravity emerges from Entanglement through the multi-fold mechanisms. As a result, gravity-like effects appear in between entangled particles that they be real or virtual. Long range, massless gravity results from entanglement of massless virtual particles. Entanglement of massive virtual particles leads to massive gravity contributions at very smalls scales. Multi-folds mechanisms also result into a spacetime that is discrete, with a random walk fractal structure and non-commutative geometry that is Lorentz invariant and where spacetime nodes and particles can be modeled with microscopic black holes. All these recover General relativity at large scales and semi-classical model remain valid till smaller scale than usually expected. Gravity can therefore be added to the Standard Model. This can contribute to resolving several open issues with the Standard Model without new Physics other than gravity. These considerations hints at a even stronger relationship between gravity and the Standard Model.Recently a controversial series of papers ended up proposing the possibility that the universe be a neural network. It is the result of observing that with an irreversible thermodynamics model of the learning process of the neural network, it might appear possible to model quantum and classical physics, to observe the emergence of a General Relativistic spacetime with gravity, and plausible to construct a generalized holographic principle beyond the AdS/CFT correspondence conjecture. The approach has been received with some skepticism.In this paper, we do not try to assess the validity of the approach and proposal. We simply assume that the proposal amounts to showing that neural network (NN) learning with a suitable thermodynamically related loss function (aka cost function) optimization, that amounts to extremize the free energy of the system, can model the Physics of the universe. When we add a model of entanglement, we discover that the neural network must allow its involved neurons to pair into pairs (or groups) of (dynamic) Qubits. Non quantum NN neurons cannot be simply grouped this way. Instead one need to add new (external) NN, that themselves emulate Qubit behaviors, between the “entangled” nodes. It amounts to match the multi-folds, including their spacetime extensions, and mechanisms. Furthermore the additional NN, explain the possibility to induce 7D physics in 4D space time to induce the Standard Model with gravity (SMG), encountered with multi-fold universes, while the multi-fold dynamics itself (in AdS(5), does not have necessarily have to be governed by General Relativity. The work also leads us to wonder if Quantum Physics is fundamental or emergent; especially with what we already know about entanglement and spacetime construction by random walks, in multi-fold universes.An appendix also discusses how NN models could relate to the Wigner’s wonder at why mathematics describe the Physical world.

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Emergent quantum mechanics as a classical, irreversible thermodynamics

Cited by 5 publications

References 24 publications

The Holographic Quantum

The Holographic Quantum

The irreversible quantum

Implicit Multi-Fold Mechanisms in a Neural Network Model of the Universe

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