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- W4247788147 abstract "In order to adapt the Hamiltonian dynamics of a system of classical (nonquantum) particles to general relativity it seems necessary to generalize the transformations used from contact transformations of phase space to extended point transformations of a joint observer and phase space. When this is done the curvature of observer space is seen to arise from the physical interaction of particles without the introduction of new gravitational field variables.In order to extend this theory to quantized particle and field theory it seems necessary to extend the unitary transformations of quantum mechanics in a similar manner, to linear transformations of matrices maintaining the trace of the product of two matrices, the Hermitian nature of a matrix, and the unit matrix. Such transformations do not preserve the phases of wave functions or the product of two matrices, but do preserve the characteristic values of matrices and the traces of the products of any number of matrices. That observers should be designated by $q$ numbers, not $c$ numbers, makes it difficult to interpret the theory except in the classical limit." @default.
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- W4247788147 date "1958-12-15" @default.
- W4247788147 modified "2023-09-30" @default.
- W4247788147 title "General Relativity and Particle Dynamics" @default.
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- W4247788147 doi "https://doi.org/10.1103/physrev.112.2129" @default.
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