This unique demonstration is a novel way of presenting the concept of constructive and destructive interference and the resulting beat notes. The visual impact reinforces the auditory variation in intensity and is more obvious.

Abstract. In this paper we extend our 2007 paper, "Comparative Quantum Cosmology: Causality, Singularity, and Boundary Conditions", http://arxiv.org/ ftp/arxiv/papers/0710/0710.5046.pdf, to include consideration of universal expansion, various implications of extendibility and incompleteness in spacetime metrics and, absent the treatment of Feynman diagrams, the use of Penning trap dynamics to describe the Hamiltonians of space-times with no characteristic upper or lower bound.

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This work is licensed under Creative Commons Attribution 4.0 License OJOR.MS.ID.000602.

This work is licensed under Creative Commons Attribution 4.0 License OJOR.MS.ID.000528.