Classification of digital affine noncommutative geometries
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DOI: 10.1063/1.5025815
Abstract: It is known that connected translation invariant n-dimensional noncommutative differentials dxi on the algebra k[x1, …, xn] of polynomials in n-variables over a field k are classified by commutative algebras V on the vector space… read more here.
Keywords: differential structures; structures admitting; admitting invariant; metrics respectively ... See more keywords
Vacuum quantum effects on Lie groups with bi-invariant metrics
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DOI: 10.1142/s0219887819501226
Abstract: We consider the effects of vacuum polarization and particle creation of a scalar field on Lie groups with a non-stationary bi-invariant metric of the Robertson–Walker type. The vacuum expectation values of the energy momentum tensor… read more here.
Keywords: effects lie; lie groups; quantum effects; vacuum quantum ... See more keywords