dorsal/arxiv
View SchemaAre There Dynamical Laws?
| Authors | Jeeva S. Anandan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9808045 |
| URL | https://arxiv.org/abs/quant-ph/9808045 |
| Journal | Found.Phys. 29 (1999) 1647-1672 |
Abstract
The nature of a physical law is examined, and it is suggested that there may not be any fundamental dynamical laws. This explains the intrinsic indeterminism of quantum theory. The probabilities for transition from a given initial state to a final state then depends on the quantum geometry that is determined by symmetries, which may exist as relations between states in the absence of dynamical laws. This enables the experimentally well confirmed quantum probabilities to be derived from the geometry of Hilbert space, and gives rise to effective probabilistic laws. An arrow of time which is consistent with the one given by the second law of thermodynamics, regarded as an effective law, is obtained. Symmetries are used as the basis for a new proposed paradigm of physics. This gives rise naturally to the gravitational and gauge fields from the symmetry group of the standard model, and a general procedure for obtaining interactions from any symmetry group.
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"abstract": "The nature of a physical law is examined, and it is suggested that there may\nnot be any fundamental dynamical laws. This explains the intrinsic\nindeterminism of quantum theory. The probabilities for transition from a given\ninitial state to a final state then depends on the quantum geometry that is\ndetermined by symmetries, which may exist as relations between states in the\nabsence of dynamical laws. This enables the experimentally well confirmed\nquantum probabilities to be derived from the geometry of Hilbert space, and\ngives rise to effective probabilistic laws. An arrow of time which is\nconsistent with the one given by the second law of thermodynamics, regarded as\nan effective law, is obtained. Symmetries are used as the basis for a new\nproposed paradigm of physics. This gives rise naturally to the gravitational\nand gauge fields from the symmetry group of the standard model, and a general\nprocedure for obtaining interactions from any symmetry group.",
"arxiv_id": "quant-ph/9808045",
"authors": [
"Jeeva S. Anandan"
],
"categories": [
"quant-ph",
"hep-th"
],
"journal_ref": "Found.Phys. 29 (1999) 1647-1672",
"title": "Are There Dynamical Laws?",
"url": "https://arxiv.org/abs/quant-ph/9808045"
},
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