# The logic of quantum mechanics derived from classical general relativity

@article{Hadley1997TheLO, title={The logic of quantum mechanics derived from classical general relativity}, author={Mark J. Hadley}, journal={Foundations of Physics Letters}, year={1997}, volume={10}, pages={43-60} }

For the first time it is shown that the logic of quantum mechanics can be derived from classical physics. An orthomodular lattice of propositions characteristic of quantum logic, is constructed for manifolds in Einstein’s theory of general relativity. A particle is modelled by a topologically non-trivial 4-manifold with closed timelike curves—a 4-geon, rather than as an evolving 3-manifold. It is then possible for both the state preparationand measurement apparatus to constrain the results of…

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## References

SHOWING 1-10 OF 24 REFERENCES

### The Quantum Theory of Motion

- Engineering
- 1993

A lubrication and sealing system for the cylinder head of an internal combustion engine having a sleeve valve mounted for rotation therein, said sleeve valve having intake slots therethrough which…

### Cauchy problem in spacetimes with closed timelike curves.

- PhysicsPhysical review. D, Particles and fields
- 1990

The conclusion of this paper is that CTC’s may not be as nasty as people have assumed, and is reinforced by the fact that they do not affect Gauss’'s theorem and thus do not affected the derivation of global conservation laws from differential ones.

### ichaelS M orris,Igor D Novikov,and UlviYurtsever. Cauchy problem in spacetim eswith closed tim elikecurves.PhysicalReview D,42(6):1915{1930,1990

- 1990

### Closed timelike curves

- Physics
- 1992

This lecture reviews recent research on closed timelike curves (CTCS), including these questions: Do the laws of physics prevent CTCs from ever forming in classical spacetime? If so, by what physical…

### Albert Einstein: Philosopher-Scientist

- Physics
- 1949

Written by the man considered the "Person of the Century" by Time magazine, this is not a glimpse into Einstein's personal life, but an extension and elaboration into his thinking on science. Two of…

### Indirect Evidence for Quantum Gravity

- Physics
- 1981

An experiment gave results inconsistent with the simplest alternative to quantum gravity, the semiclassical Einstein equations. This evidence supports (but does not prove) the hypothesis that a…

### A Remarkable Property of Plane Waves in General Relativity

- Mathematics
- 1965

The complete general-relativistic plane-wave space-times (gravitational, electromagnetic, or both) are examined in relation to the focusing effect they exert on null cones. The following remarkable…