# Modal Interpretations and Relativity

@article{Myrvold2002ModalIA, title={Modal Interpretations and Relativity}, author={Wayne C. Myrvold}, journal={Foundations of Physics}, year={2002}, volume={32}, pages={1773-1784} }

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.

#### Figures from this paper

#### 42 Citations

How to reconcile modal interpretations of quantum mechanics with relativity

- Mathematics
- 2003

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… Expand

Can Modal Interpretations of Quantum Mechanics Be Reconciled with Relativity?

- Mathematics
- Philosophy of Science
- 2005

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… Expand

Relativistic Invariance and Modal Interpretations*

- Physics
- Philosophy of Science
- 2005

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… Expand

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

- Mathematics
- 2006

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… Expand

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

- Physics
- 2009

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… Expand

Quantum Mechanics: An Intelligible Description of Objective Reality?

- Mathematics
- 2005

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… Expand

Modal Interpretations of Quantum Mechanics and Relativity: A Reconsideration

- Mathematics
- 2005

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… Expand

Unitary quantum theories are incompatible with special relativity

- Physics
- 2018

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… Expand

Quantum Mechanics and Perspectivalism

- Physics, Computer Science
- Quantum Worlds
- 2019

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. Expand

Chasing Chimeras

- 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… Expand

#### References

SHOWING 1-10 OF 16 REFERENCES

Lorentz-Invariance in Modal Interpretations

- Mathematics
- 1998

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… Expand

Interpreting the Quantum World

- Philosophy, Physics
- 1997

Introduction 1. From classical to quantum mechanics 2. Bell's 'no-go' theorem 3. The Kochen and Specker 'no-go' theorem 4. The proof of interpretation 5. Quantum mechanics without observers: I 6.… Expand

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

- Physics, Medicine
- 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. Expand

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

- Mathematics
- 1983

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

Correlations and Physical Locality

- Mathematics
- 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… Expand

Quantum mechanics without the projection postulate

- Mathematics
- 1992

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)… Expand

Nonlocality, Lorentz invariance, and Bohmian quantum theory.

- Physics, Medicine
- Physical review. A, Atomic, molecular, and optical physics
- 1996

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. Expand

Hypersurface Bohm-Dirac models

- Physics
- 1999

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

- Psychology
- 1998

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… Expand

Entanglement and Open Systems in Algebraic Quantum Field Theory

- Physics
- 2001

Abstract Entanglement has long been the subject of discussion by philosophers of quantum theory, and has recently come to play an essential role for physicists in their development of quantum… Expand