# A sum-over-histories account of an EPR(B) experiment

@article{Sinha1991ASA, title={A sum-over-histories account of an EPR(B) experiment}, author={Sukanya Sinha and Rafael D. Sorkin}, journal={Foundations of Physics Letters}, year={1991}, volume={4}, pages={303-335} }

We analyze a variant of the EPRB experiment within a framework for quantum mechanics that rests on a radical interpretation of the sum over histories. Within this framework, reality is (just as classically) a single “history”, e.g. a definite collection of particles undergoing definite motions; and quantum dynamics appears as a kind of stochastic law of motion for that history, a law formulated in terms of non-classical probability-amplitudes. No state vectors enter this framework, and their…

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## References

SHOWING 1-10 OF 13 REFERENCES

### The Everett Interpretation

- Physics
- 1984

We begin with an essentially technical notion that will be used repeatedly in what follows. Indeed, it will serve as our conduit between physical observations and the mathematical formalism of…

### The Problem of Hidden Variables in Quantum Mechanics

- Physics
- 1967

Forty years after the advent of quantum mechanics the problem of hidden variables, that is, the possibility of imbedding quantum theory into a classical theory, remains a controversial and obscure…

### Bell’s theorem without inequalities

- Physics
- 1990

It is demonstrated that the premisses of the Einstein–Podolsky–Rosen paper are inconsistent when applied to quantum systems consisting of at least three particles. The demonstration reveals that the…

### Quantum Logic and Meaning

- PhilosophyPSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association
- 1980

Quantum logic as genuine non-classical logic provides no solution to the "paradoxes" of quantum mechanics. From the minimal condition that synonyms be substitutable salva veritate, it follows that…

### Introduction to Two-Particle Interferometry

- Physics
- 1990

Ordinary interferometry employs beams of particles -- photons, electrons, neutrons, and possible other particles — but the phenomena which it studies arise when two amplitudes associated with a…

### Experimental violation of Bell's inequality based on phase and momentum.

- PhysicsPhysical review letters
- 1990

Two-color photon pairs are selected by two double apertures placed to satisfy the phase-matching conditions at a down-conversion crystal and coincident two-photon detections are measured.

### Problems with Causality in the Sum-over-histories Framework for Quantum Mechanics

- Conceptual Problems of Quantum Gravity (Proceedings of the Osgood conference,
- 1988

### Space-Time Approach to Non-Relativistic Quantum Mechanics

- Physics
- 1948

Non-relativistic quantum mechanics is formulated here in a different way. It is, however, mathematically equivalent to the familiar formulation. In quantum mechanics the probability of an event which…

### Quantum mechanics of measurements distributed in time. A path-integral formulation.

- PhysicsPhysical review. D, Particles and fields
- 1986