Quantum Mechanics from Focusing and Symmetry

Details Quantum Mechanics from Focusing and Symmetry Quantum Mechanics from Focusing and Symmetry

2008-01-14

arxiv.org/abs/0801.2026v1

Found.Phys.38:818-842,2008

Physics

Quantum Physics

26 pages

Scientific paper

10.1007/s10701-008-9239-8

A foundation of quantum mechanics based on the concepts of focusing and symmetry is proposed. Focusing is connected to c-variables - inaccessible conceptually derived variables; several examples of such variables are given. The focus is then on a maximal accessible parameter, a function of the common c-variable. Symmetry is introduced via a group acting on the c-variable. From this, the Hilbert space is constructed and state vectors and operators are given a clear interpretation. The Born formula is proved from weak assumptions, and from this the usual rules of quantum mechanics are derived. Several paradoxes and other issues of quantum theory are discussed.

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