Beyond the Quantum

  title={Beyond the Quantum},
  author={A. Valentini},
  journal={arXiv: Quantum Physics},
  • A. Valentini
  • Published 2009
  • Computer Science, Physics, Mathematics
  • arXiv: Quantum Physics
At the 1927 Solvay conference, three different theories of quantum mechanics were presented; however, the physicists present failed to reach a consensus. Today, many fundamental questions about quantum physics remain unanswered. One of the theories presented at the conference was Louis de Broglie's pilot-wave dynamics. This work was subsequently neglected in historical accounts; however, recent studies of de Broglie's original idea have rediscovered a powerful and original theory. In de Broglie… Expand
Hertz’s Viewpoint on Quantum Theory
In the nineteenth century (in the process of transition from mechanics to the field theory), the German school of theoretical physics confronted problems similar to the basic problems in theExpand
Trans-Planckian fluctuations and the stability of quantum mechanics
We present arguments suggesting that deviations from the Born probability rule could be generated for trans-Planckian field modes during inflation. Such deviations are theoretically possible in theExpand
Inflationary Cosmology as a Probe of Primordial Quantum Mechanics
We show that inflationary cosmology may be used to test the statistical predictions of quantum theory at very short distances and at very early times. Hidden-variables theories, such as theExpand
Deterministic Quantum Mechanics: The Mathematical Equations
Without wasting time and effort on philosophical justifications and implications, we write down the conditions for the Hamiltonian of a quantum system for rendering it mathematically equivalent to aExpand
Signatures of relic quantum nonequilibrium
[Shortened Abstract:] This thesis explores the possibility that quantum probabilities arose thermodynamically. A chief concern is the detection of primordial `quantum nonequilibrium', since this isExpand
Chaos in de Broglie - Bohm quantum mechanics and the dynamics of quantum relaxation
We discuss the main mechanisms generating chaotic behavior of the quantum trajectories in the de Broglie - Bohm picture of quantum mechanics, in systems of two and three degrees of freedom. In the 2DExpand
Implications of Local Friendliness Violation for Quantum Causality
We provide a new formulation of the Local Friendliness no-go theorem of Bong et al. [Nat. Phys. 16, 1199 (2020)] from fundamental causal principles, providing another perspective on how it putsExpand
Quantum Mechanics as an Emergent Property of Ergodic Systems Embedded in the Zero-point Radiation Field
The present paper reveals (non-relativistic) quantum mechanics as an emergent property of otherwise classical ergodic systems embedded in a stochastic vacuum or zero-point radiation field (zpf). ThisExpand
The Road to Heisenberg Quantum Mechanics
This chapter takes us through an alternative itinerary to quantum mechanics, on this occasion to the Heisenberg formulation of the theory. Our starting point is again the stochastic Abraham-LorentzExpand
Emergence of outcomes in quantum mechanics
A persistent focus on the concept of emergence as a core element of the scientific method allows a clean separation, insofar as this is possible, of the physical and philosophical aspects of theExpand


Dynamical origin of quantum probabilities
  • A. Valentini, H. Westman
  • Physics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2005
We study the origin of the Born probability rule ρ = |ψ|2 in the de Broglie–Bohm pilot–wave formulation of quantum theory. It is argued that quantum probabilities arise dynamically, and have a statusExpand
Astrophysical and cosmological tests of quantum theory
We discuss several proposals for astrophysical and cosmological tests of quantum theory. The tests are motivated by deterministic hidden-variables theories, and in particular by the view that quantumExpand
Signal-locality, uncertainty, and the subquantum H-theorem. II
Abstract We begin a statistical mechanics based on the pilot-wave formulation of quantum theory, without making the assumption that the probability density P is equal to ‖Ψ‖2. Instead, this relationExpand