Abstract
To define time in the homogeneous anisotropic Bianchi-IX model of the universe, we propose a classical equation of motion of the proper time of the universe as an additional gauge condition. This equation is the law of conservation of energy. As a result, a new parameter, called a “mass” of the universe, appears. This parameter is added to the anisotropy energy and regarded as an observed quantity. The “mass” of the universe is decisive when it comes to the dynamics of its origin.
Highlights
The ordinary approach to the quantization of covariant theories is based on the expansion of the phase space by adding Lagrange multipliers, the corresponding canonical momenta, and ghosts [1,2,3,4]
Version of covariant quantum theory was formulated with minimal expansion of the phase space, including parameters of finite transformations of the covariance group
The modification to the dynamics of the universe suggested in this article is not arbitrary
Summary
The ordinary approach to the quantization of covariant theories is based on the expansion of the phase space by adding Lagrange multipliers, the corresponding canonical momenta, and ghosts [1,2,3,4]. Version of covariant quantum theory was formulated with minimal expansion of the phase space, including parameters of finite transformations of the covariance group In [9], an additional expansion of the phase space was proposed by including infinitesimal shifts of new variables (and corresponding momenta) there. This means that the law of conservation of the universe’s energy is an additional condition for time defining. A complete set of generalized coordinates of a modified theory, in addition to proper time, will include its energy, which is a generator of infinitesimal shifts This value is an integral of motion and is included in the set of model parameters
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