Modal Interpretations and Relativity

  title={Modal Interpretations and Relativity},
  author={Wayne C. Myrvold},
  journal={Foundations of Physics},
  • W. Myrvold
  • Published 20 September 2002
  • Philosophy
  • Foundations of Physics
A proof is given, at a greater level of generality than previous “no-go” theorems, of the impossibility of formulating a modal interpretation that exhibits “serious” Lorentz invariance at the fundamental level. Particular attention is given to modal interpretations of the type proposed by Bub. 

How to reconcile modal interpretations of quantum mechanics with relativity

Recent no go theorems by Dickson and Clifton (1998), Arntzenius (1998) and Myrvold (2002) demonstrate that current modal interpretations are incompatible with relativity. In this paper we propose

Can Modal Interpretations of Quantum Mechanics Be Reconciled with Relativity?

Modal interpretations are hidden‐variable, no‐collapse interpretations of quantum mechanics that were designed to solve the measurement problem and reconcile this theory with relativity. Yet, as

Relativistic Invariance and Modal Interpretations*

A number of arguments have been given to show that the modal interpretation of ordinary nonrelativistic quantum mechanics cannot be consistently extended to the relativistic setting. We find these

A New Modal Interpretation of Quantum Mechanics in Terms of Relational Properties

In this paper we propose a new modal interpretation of quantum mechanics, wherein quantum states assign to systems relational rather than intrinsic properties. We argue that this relational modal

Interpretations of Probability in Quantum Mechanics: A Case of “Experimental Metaphysics”

One of the most philosophically important and fruitful ideas emerging from the work of Abner Shimony et al. relating to the Bell theorems, named and highlighted by Shimony, is that of "experimental

Quantum Mechanics: An Intelligible Description of Objective Reality?

Jim Cushing emphasized that physical theory should tell us an intelligible and objective story about the world, and concluded that the Bohm theory is to be preferred over the Copenhagen

Modal Interpretations of Quantum Mechanics and Relativity: A Reconsideration

Two of the main interpretative problems in quantum mechanics are the so-called measurement problem and the question of the compatibility of quantum mechanics with relativity theory. Modal

Unitary quantum theories are incompatible with special relativity

It is shown that the combination of a unitary quantum theory and special relativity may lead to a contradiction when considering the statistics of certain measurement results in different Lorentz

Quantum Mechanics and Perspectivalism

It is argued that perspectivalism both evades recent arguments that single-world interpretations are inconsistent and eliminates the need for a privileged rest frame in the relativistic case.

Chasing Chimeras

  • W. Myrvold
  • Physics, Philosophy
    The British Journal for the Philosophy of Science
  • 2009
Earman and Ruetsche ([2005]) have cast their gaze upon existing no-go theorems for relativistic modal interpretations, and have found them inconclusive. They suggest that it would be more fruitful to



Lorentz-Invariance in Modal Interpretations

Modal interpretations are hidden-variables theories, specifying at each time a set of possible properties of a system (represented by projection operators) and a probability measure over that set. We

Quantum mechanics, local realistic theories, and Lorentz-invariant realistic theories.

  • Hardy
  • Physics, Mathematics
    Physical review letters
  • 1992
Bell's theorem is demonstrated, without using inequalities, for an experiment with two particles, and it is shown that, if realism and Lorentz-invariant observables are assumed, it can derive a contradiction with quantum mechanics.

States, effects, and operations : fundamental notions of quantum theory : lectures in mathematical physics at the University of Texas at Austin

States and effects.- Operations.- The first Representation theorem.- Composite systems.- The second representation theorem.- 6 Coexistent effects and observables.- References.

Correlations and Physical Locality

  • A. Fine
  • Philosophy
    PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association
  • 1980
Two principles of locality used in discussions about quantum mechanics are distinguished. The intuitive no-action-at-a distance requirement is called physical locality. There is also a mathematical

Quantum mechanics without the projection postulate

I show that the quantum state ω can be interpreted as defining a probability measure on a subalgebra of the algebra of projection operators that is not fixed (as in classical statistical mechanics)

Nonlocality, Lorentz invariance, and Bohmian quantum theory.

A model invariant under a certain limit of Lorentz transformations, a limit retaining the characteristic feature of relativity, the nonexistence of absolute time, i.e., of simultaneity is presented.

Hypersurface Bohm-Dirac models

Among the different approaches to resolving the conceptual problems of quantum theory, Bohm’s approach is perhaps the simplest.

Curiouser and Curiouser: A Personal Evaluation of Modal Interpretations

I feel honored to have been asked to write the concluding essay to this volume. I was in fact asked to comment on and discuss the implications of all the contributions to this volume, and all the

Nonlocality for two particles without inequalities for almost all entangled states.

  • Hardy
  • Physics
    Physical review letters
  • 1993
It is shown that it is possible to demonstrate nonlocality for two particles without using inequalities for all entangled states except maximally entangled states such as the singlet state. The