dorsal/arxiv
View SchemaCausal Incompleteness: A New Perspective on Quantum Non-locality
| Authors | T. N. Palmer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511251 |
| URL | https://arxiv.org/abs/quant-ph/0511251 |
Abstract
The mathematical notion of incompleteness (eg of rational numbers, Turing-computable functions, and arithmetic proof) does not play a key role in conventional physics. Here, a reformulation of the kinematics of quantum theory is attempted, based on an inherently granular and discontinuous state space, in which the quantum wavefunction is associated with a finite set of finite bit strings, and the unitary transformations of complex Hilbert space are reformulated as finite permutation and related operators incorporating complex and hyper-complex structure. Such a reformulation, consistent with Wheeler's `It from Bit' programme, provides the basis for a novel interpretation of the Bell theorem: that the experimental violation of the Bell inequalities reveals the inevitable incompleteness of the causal structure of physical theory. The kinematic reformulation of quantum theory so developed, provides a new perspective on the age-old dichotomy of free will versus determinism.
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"abstract": "The mathematical notion of incompleteness (eg of rational numbers,\nTuring-computable functions, and arithmetic proof) does not play a key role in\nconventional physics. Here, a reformulation of the kinematics of quantum theory\nis attempted, based on an inherently granular and discontinuous state space, in\nwhich the quantum wavefunction is associated with a finite set of finite bit\nstrings, and the unitary transformations of complex Hilbert space are\nreformulated as finite permutation and related operators incorporating complex\nand hyper-complex structure. Such a reformulation, consistent with Wheeler\u0027s\n`It from Bit\u0027 programme, provides the basis for a novel interpretation of the\nBell theorem: that the experimental violation of the Bell inequalities reveals\nthe inevitable incompleteness of the causal structure of physical theory. The\nkinematic reformulation of quantum theory so developed, provides a new\nperspective on the age-old dichotomy of free will versus determinism.",
"arxiv_id": "quant-ph/0511251",
"authors": [
"T. N. Palmer"
],
"categories": [
"quant-ph"
],
"title": "Causal Incompleteness: A New Perspective on Quantum Non-locality",
"url": "https://arxiv.org/abs/quant-ph/0511251"
},
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