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Fuzzy Topology, Quantization and Gauge Invariance
S. N. Mayburov
Dodson-Zeeman fuzzy topology considered as the possible mathematical framework of quantum geometric formalism. In such formalism the states of massive particle m correspond to elem…
Fuzzy Geometry of Phase Space and Quantization of Massive Fields
S. N. Mayburov
The quantum space-time and the phase space with fuzzy structure is investigated as the possible quantization formalism. In this theory the state of nonrelativistic particle corresp…
Fuzzy Phase Space Structure as Approach to Quantization
S. Mayburov
Modification of nonrelativistic phase space structure based on fuzzy ordered sets (Fosets) structure investigated as a possible quantization framework. In this model particle's …
Quantum Space-Time and Reference Frames in Gravity and Flat Space-Time
S. Mayburov
The quantum space-time model which accounts material Reference Frames (RF) quantum effects considered for flat space-time and ADM canonical gravity. As was shown by Aharonov for RF…
Local Reference Frames and Quantum Space-time
S. Mayburov
We argue that the account of Reference Frames quantum properties must change the standard space-time picture accepted in Quantum Mechanics. If RF is connected with some macroscopic…
Quantum Space-Time Transformations and Reference Frames States
S. N. Mayburov
We argue that correct account of the quantum properties of macroscopic objects which form reference frames (RF) demand the change of the standard space-time picture accepted in Qua…