Relativity and Cosmology


Time Arrow Spinors for the Modified Cosmological Model

Authors: Jonathan W. Tooker

We construct time arrow spinor states and define for them a Stern--Gerlach analogue Hamiltonian. The dispersion relations of the allowed modes are derived in a few special cases. We examine experimental data regarding negative frequency resonant radiation and show that the energy shift of the negative frequency mode is on the characteristic scale of the energies of the new Hamiltonian. We describe the similitude of the modified cosmological model (MCM) and the Stern--Gerlach apparatus, and we also show how the Pauli matrices are well-suited to applications in MCM cosmology. Complex and quaternion phase are combined in the wavefunction to generate new multiplectic structures. The principles described in this paper are oriented toward a time circuit application so we briefly describe an electrical circuit whose constructive elements elucidate the requirements needed for a working time circuit. The algebraic graph representation of electrical nodes with different electric potentials is replaced with time nodes that have different times in the time circuit graph.

Comments: 24 Pages. 15 figures, 2 tables

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Submission history

[v1] 2018-07-26 14:44:54

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