149 citations · 616 across the 35 of their papers we have counts for
38 papers
Effects of Quantum Spin-Connection Foam in the Solar System, Galaxies, and the Universe
Igor V. Kanatchikov, Valery A. Kholodnyi
We argue that effects of the quantum spin-connection foam, which describes quantum gravity according to the precanonical quantization of General Relativity, may already be observed…
The Milgromian acceleration and the cosmological constant from precanonical quantum gravity
Igor V. Kanatchikov, Valery A. Kholodnyi
We show that the Milgromian acceleration of MOND and the cosmological constant can be understood and quantified as the effects of quantum fluctuations of spin connection which are…
The De Donder-Weyl Hamiltonian formulation of TEGR and its quantization
I. V. Kanatchikov
The De Donder-Weyl (DW) Hamiltonian theory of fields treats space and time variables on equal footing. Its quantization, called precanonical quantization, leads to a hypercomplex g…
The Quantum Waves of Minkowski Spacetime And The Minimal Acceleration From Precanonical Quantum Gravity
I. V. Kanatchikov
We construct the simplest solutions of the previously obtained precanonical Schrödinger equation for quantum gravity, which correspond to the plane waves on the spin connection bun…
Towards Precanonical Quantum Teleparallel Gravity
I. V. Kanatchikov
Quantization of the teleparallel equivalent of general relativity (TEGR) is discussed from the perspective of the space-time symmetric De Donder-Weyl (DW) Hamiltonian formulation w…
On the covariant Hamilton-Jacobi formulation of Maxwell's equations via the polysymplectic reduction
Monika E. Pietrzyk, Cécile Barbachoux, Igor V. Kanatchikov +1
The covariant Hamilton-Jacobi formulation of Maxwell's equations is derived from the first-order (Palatini-like) Lagrangian using the analysis of constraints within the De~Donder-W…