Authors: J.P. Baugher
In spite of the widespread fanfare of the 1998 discovery of a positive accelerating expansion and the subsequent need for a “Dark Energy” placeholder in physics, the one geometric component that seems to share a relationship, the Cosmological Constant, has become shrouded in even more questions by it. After a century of concentrated efforts, the mounting lack of forthcoming answers has “driven” the NSF/ NASA/DOE Dark Energy Task Force to consider whether general relativity is “incorrect”. In keeping with this reluctant but forced skepticism we subject an early competitor to general relativity, Gunnar Nordstr¨oms version of the Poisson equation, to a more stringent definition utilizing an asymmetric property of the Fundamental Theorem of Calculus. We derive from this property a new metric Laplacian definition for flatness that in perturbed spherical symmetry form greatly resembles the Schwarzschild solution. However, this metric version would seem capable of uniting gravity with QFT by utilizing the widely considered equivalence of the Cosmological Constant with a proposed large value vacuum energy density but at the expense of differential topology and our understanding of tensors in general. A much larger penalty though seems to be that it results in a geometrical counterpoint to the physical explanations for general relativity, QFT and energy density.
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[v1] 2013-09-17 10:26:07
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