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The Cosmological Constant from the Extended Theory of Gravitation in Clifford Spaces

Abstract:

The exploration of the novel physical consequences of the Extended Theory of Gravity in C-spaces (Clifford spaces) is continued. One of the most salient physical feature of the extended gravitational theory in C-spaces is that one can generate an effective stress energy tensor mimicking the effects of “dark” matter/energy. In particular, it is found that the presence of the cosmological constant, along with a plausible mechanism to explain its extremely small value and/or its cancellation, can be understood entirely from a purely Clifford algebraic and geometric perspective. For this reason we believe that this theory may have important consequences in Cosmology and further research in Gravitation and Particle Physics.