|
| related topics |
| {theory, mechanics, state} |
| {bell, inequality, local} |
| {let, theorem, proof} |
| {observables, space, algebra} |
| {particle, mechanics, theory} |
| {field, particle, equation} |
| {measurement, state, measurements} |
| {cos, sin, state} |
| {force, casimir, field} |
| {classical, space, random} |
|
The Bell-Kochen-Specker Theorem
D. M. Appleby
abstract: Meyer, Kent and Clifton (MKC) claim to have nullified the Bell-Kochen-Specker
(Bell-KS) theorem. It is true that they invalidate KS's account of the
theorem's physical implications. However, they do not invalidate Bell's point,
that quantum mechanics is inconsistent with the classical assumption, that a
measurement tells us about a property previously possessed by the system. This
failure of classical ideas about measurement is, perhaps, the single most
important implication of quantum mechanics. In a conventional colouring there
are some remaining patches of white. MKC fill in these patches, but only at the
price of introducing patches where the colouring becomes ''pathologically''
discontinuous. The discontinuities mean that the colours in these patches are
empirically unknowable. We prove a general theorem which shows that their
extent is at least as great as the patches of white in a conventional approach.
The theorem applies, not only to the MKC colourings, but also to any other such
attempt to circumvent the Bell-KS theorem (Pitowsky's colourings, for example).
We go on to discuss the implications. MKC do not nullify the Bell-KS theorem.
They do, however, show that we did not, hitherto, properly understand the
theorem. For that reason their results (and Pitowsky's earlier results) are of
major importance.
- oai_identifier:
- oai:arXiv.org:quant-ph/0308114
- categories:
- quant-ph
- comments:
- 22 pages
- arxiv_id:
- quant-ph/0308114
- journal_ref:
- Stud.Hist.Philos.Mod.Phys. 36 (2005) 1
- created:
- 2003-08-21
Full article ▸
|
|
| related documents |
| 0505231v1 |
| 0611261v1 |
| 0402149v1 |
| 0307113v1 |
| 0508059v1 |
| 0609108v4 |
| 0509048v1 |
| 0402121v2 |
| 0604191v1 |
| 0411075v1 |
| 0507114v1 |
| 0404153v1 |
| 0108079v1 |
| 0508212v1 |
| 0506024v2 |
| 0607005v2 |
| 0602212v1 |
| 0608248v2 |
| 0611076v1 |
| 0701200v3 |
| 0407051v1 |
| 0407041v1 |
| 0406226v1 |
| 0412136v2 |
| 0312176v2 |
|