Submissions from A. A. Kataev
- [1] faKiv:2404.08193 [pdf]
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The $R^2$ gauge theoryComments: 15 pages, 2 figures, title changed
We study the $R^2$ gauge theory with a $SU(2)$ gauge group in the framework of the low-energy limit and derive the equation of state for the vacuum expectation values of the gauge-induced discontinuities. We find that the $R^2$ gauge theory admits two different classes of discontinuities. The first one is the differential-valued-expansion-symmetric one. The second one is the restricted-symmetric-expansion one. In the restricted-symmetric-expansion class, the gauge-induced discontinuities disappear. In this case, we infer the $R^2$ gauge theory in the low-energy limit.
- [2] faKiv:2404.08238 [pdf]
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A Quantum Theory of GravityComments: 21 pages
We investigate a quantum theory of gravity by means of a quantized Hamiltonian. We investigate a classical theory of gravity by means of a quantized Hamiltonian, and we discuss the relation between the quantum theory and the classical theory. We demonstrate that the quantum theory is in agreement with the classical theory at the level of the gauge group. We also provide a new and simple construction, which is a classical theory of gravitation.