Speakable and Unspeakable in Quantum Mechanics

  title={Speakable and Unspeakable in Quantum Mechanics},
  author={John Stewart Bell and Michael A. Horne and Anton Zeilinger},
  journal={American Journal of Physics},
Linear Superposition as a Core Theorem of Quantum Empiricism
Clarifying the nature of the quantum state |Ψ⟩ is at the root of the problems with insight into counter-intuitive quantum postulates. We provide a direct—and math-axiom free—empirical derivation of
Quantum fluctuations, particles and entanglement: a discussion towards the solution of the quantum measurement problems
The quantum measurement problems are revisited from a new perspective. One of the main ideas of this work is that the basic entities of our world are various types of particles, elementary or
Quantum fluctuations, particles, entanglement and measurements
The quantum measurement problems are discussed from a new perspective. One of the main ideas of this work is that the basic entities of our world are various types of particles, elementary or
Temporal Mechanics (I): Universal Time Axioms
This paper, the first of what are proposed to be three foundational papers of Temporal Mechanics, presents the basic philosophical and mathematical axioms for the concept of time, namely the
Clocks and Chronogeometry: Rotating Spacetimes and the Relativistic Null Hypothesis
Recent work in the physics literature demonstrates that, in particular classes of rotating spacetimes, physical light rays in general do not traverse null geodesics. Having presented this result, we
Discretization of the Bloch sphere, fractal invariant sets and Bell’s theorem
  • T. Palmer
  • Mathematics
    Proceedings of the Royal Society A
  • 2020
Deterministic construction of an arbitrarily dense discretization of the Bloch sphere of complex Hilbert states is constructed, where points correspond to bit strings of fixed finite length, providing a new way to understand the violation of the Bell inequality without violating statistical independence or factorization.
Agent Inaccessibility as a Fundamental Principle in Quantum Mechanics: Objective Unpredictability and Formal Uncomputability
The present work considers a third option—‘objective ignorance’: an in-principle limit for ontological quantum mechanics based upon self-referential dynamics, including undecidable dynamics and dynamical chaos, employing uncomputability as a formal limit.
Are Hidden-Variable Theories for Pilot-Wave Systems Possible?
Recently it was shown that certain fluid-mechanical ‘pilot-wave’ systems can strikingly mimic a range of quantum properties, including single particle diffraction and interference, quantization of
Non-classicality as a computational resource
This thesis complete Spekkens' toy theory with measurement update rules and a mathematical framework that generalises it to systems of any finite dimensions (prime and non-prime) and extends the operational equivalence between the toy theory and stabilizer quantum mechanics to all odd dimensions via Gross' Wigner functions.
Reconsidering No-Go Theorems from a Practical Perspective
It is argued that their judgements regarding the locally causal models that are compatible with a given constraint implicitly depend, in part, on the context of inquiry, and certain quantum no-go theorems have no force when the context switches to a discussion of the physical systems the authors are capable of building with the aim of classically reproducing quantum statistics.