All Physics Faculty Publications

Quanta without quantization

Document Type

Article

Journal/Book Title/Conference

Modern Physics Letters A

Volume

12

Issue

29

Publication Date

1997

First Page

2175

Last Page

2181

Abstract

The dimensional properties of fields in classical general relativity lead to a tangent tower structure which gives rise directly to quantum mechanical and quantum field theory structures without quantization.

We derive all the fundamental elements of quantum mechanics from the tangent tower structure, including fundamental commutation relations, a Hilbert space of pure and mixed states, measurable expectation values, Schrödinger time evolution, "collapse" of a state and the probability interpretation.

The most central elements of string theory also follow, including an operator valued mode expansion like that in string theory as well as the Virasoro algebra with central charges.

Comments

Available at: http://arxiv.org/pdf/hep-th/9705235

https://doi.org/10.1142/S0217732397002223

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