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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.

The present study will explore the historical changes of the music industry supply chain. It will consider propositions such as the vertical integration of the historical music industry, the revolution in technology, and the positioning of the artist within the music industry supply chain.Several questions will be tackled: What is the positioning of the artist in the new digital era? And given the changes of position of the major labels and the positioning of the artist, what are the descriptive and prescriptive possibilities should the majors disappear and be replaced by alternative elements in the music industry supply chain?Social Network Analysis (SNA) will be utilized as a methodological tool in the creation of non-linear and adaptive models.

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