Submissions from Tatiana A. Khlopov
- [1] faKiv:2404.07501 [pdf]
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Non-minimal Derivative GravityComments: 5 pages, 5 figures, v3: references added, discussion on the role of eigenvalues added
We study the gravitational force between two particles in a non-minimal derivative gravitational field theory and provide an equation that approximates the deterministic gravitational force. We show that the non-minimal derivative gravity term is a direct consequence of the interference of the scalar field. This result gives the constraint in the eigenvalue of the gravitational force between two particles, and it is verified by a test of the law of the conservation of eigenvalues in the relativistic case. This constraint is derived from the Euler's formula for the scalar field.
- [2] faKiv:2404.07739 [pdf]
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A geometric look at the holographic nature of the quantum theoryComments: 5 pages, 3 figures
We study the holographic nature of the quantum theory and show that its quantum-mechanical component has a geometric interpretation. We discuss the connection between the quantum theory and the holographic theory. In particular, we prove that the geometric interpretation of the holographic theory is a straightforward one. We also demonstrate that the holographic theory can be treated as a generalization of the classical holographic theory in which the holographic component is a vector field.
- [3] faKiv:2404.07833 [pdf]
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Supergravity and the de Sitter spaceComments: 14 pages, 1 figure, v3: references updated
We construct a de Sitter space solution for the supergravity field theory in the de Sitter space, which is consistent with the presence of a de Sitter singularity. The solution is constructed by bringing the de Sitter space to a point in the plane perpendicular to the normal plane. It is shown that the geometry of the de Sitter space solution is determined by the velocity of the de Sitter space. We also show that the solution satisfies the semi-classical interpretation of the $\Lambda$CDM singularity.