Quanta Without Quantization

Details Quanta Without Quantization Quanta Without Quantization

1997-05-29

arxiv.org/abs/hep-th/9705235v1

Mod.Phys.Lett. A12 (1997) 2175-2182

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex, Honorable Mention 1997 GRG Essay

Scientific paper

10.1142/S0217732397002223

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 of 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, Schroedinger 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.

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