Linkage of Classical Mechanical (CM) Geometry (3 Dimensional) and Quantum Mechanical (QM) Geometry (2 Dimensional) via Hopf Mapping and Its Implications for Relic Gravitational Wave (GW) Power Production
Hopf mapping from 2 dimensions Quantum Mechanics (QM) to 3 dimensions Classical Mechanics (CM) is examined in terms of a formalism started by Feynman which has linkage to the (CM) equations of motion have linkage to the Serret-Frenet form (for differential equations). We argue that in doing so we may then link QM representations of qubits to a solved version of the rotating rod problem. Furthermore since a “generic” solid body rotation equivalent to the rotating rod problem has linkage to Gravitational Wave (GW) generation, as given by Lightman et al., it is a way to tie qubits (quantum information) to GW generation. We then make observations as to what the results mean in terms of QM initial states and the power of GW production from early universe conditions.
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