arXiv subjects

S. N. Mayburov

Publications and source records attributed to S. N. Mayburov.

12 recordsLinked to original sources

arXiv2022

Quantum Nonlocality and Biological Coherence

Quantum mechanical nonlocality considered as posssible mechanism of long-distance correlations in living organisms and plants, which regulate their coherent development and functioning. It's shown that Doebner-Goldin nonlinear quantum formalism permits to extend nonlocality effects beyond standrd EPR-Bohm scheme and due to it supposedly can describe long-distance correlations in some biological processes. Comparison with some experimental results discussed.

physics.gen-ph↗

arXiv2022

Nonlinear Quantum Nonolocality and its Cosmophysical Tests

Analysis of Bell-EPR nonlocal correlations in microscopic measurement theory framework indicates that novel quantum nonlocality effects can exist. In particular, it can result in distant correlations between the systems of elementary quantum objects or particles. Doebner-Goldin nonlinear quantum formalism applied for nonlocal correlation description, comparison with some cosmophysical experiment results discussed.

physics.gen-ph↗

arXiv2022

Quantum Nonlocality -- Possible Cosmophysical Effects

Mutiple experimental results indicate the existence of cosmophysical effects which influence parameters of nuclear decays and chemical reactions in lab. conditions. In particular, variations of nucleus alpha-,beta-decay parameters with amplitudes of the order $10^{-3}$ and periods of one year and solar day were detected. Significant influence of solar activity on nuclear decay and chemical reaction parameters also was reported. We argue that such deviations from radioactive decay law and other similar effects can be described by novel quantum nonlocality mechanism, which differs from EPR-Bohm nonlocality. Doebner-Goldin nonlinear Hamiltonian applied for the description of nuclear decay parameter variations.

physics.gen-ph↗

arXiv2022

Nuclear decay parameter oscillations as possible signal of quantum-mechanical nonlinearity and emergent gravity

Several experimental groups reported the evidence of multiple periodic modulations of nuclear decay constants which amplitudes are of the order .1% and periods of one year, 24 hours or about one month. We argue that such deviations from radioactive decay law can be described in nonlinear quantum mechanics framework, in which decay process obeys to nonlinear Shroedinger equation with Doebner-Goldin terms. Proposed corrections to Hamiltonian of quantum system interaction with gravitation field correspond to some emergent gravity theories, in particular, bilocal gravity model. Decay parameter variations under influence of Sun gravity, calculated in our model, agree well with experimental results for alpha-decay life-time oscillations of Polonium isotopes

quant-ph↗

arXiv2019

Commutative Fuzzy Geometry and Quantum Particle Dynamics

Fuzzy geometry considered as the possible mathematical framework for reformulation of quantum-mechanical formalism in geometric terms. In this approach the states of massive particle m correspond to elements of fuzzy manifold called fuzzy points. In 1-dimensional case, due to manifold ultraweak (fuzzy) topology, m space coordinate x acquires principal uncertainty dx and described by positive, normalized density w(x,t). Analogous uncertainties appear for fuzzy point on 3-dimensional manifold. It's shown that m states on such manifold are equivalent to vectors (rays) on complex Hilbert space, their evolution correspond to Shroedinger dynamics of nonrelativistic quantum particle.

quant-ph↗

arXiv2015

Fuzzy Topology, Quantization and Gauge Invariance

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 elements of fuzzy manifold called fuzzy points. Due to their weak (partial) ordering, m space coordinate x acquires principal uncertainty dx. It's shown that m evolution with minimal number of additional assumptions obeys to schroedinger and dirac formalisms in norelativistic and relativistic cases correspondingly. It's argued that particle's interactions on such fuzzy manifold should be gauge invariant.

hep-th↗

arXiv2012

Irreversibility, Information and Randomness in Quantum Measurements

Irreversibility in quantum measurements is considered from the point of quantum information theory. For that purpose the information transfer between the measured object S and measuring system O is analyzed. It's found that due to the principal constraints of quantum-mechanical origin, the information about the purity of S state isn't transferred to O during the measurement of arbitraryS observable V. Consequently O can't discriminate the pure and mixed S ensembles with the same . As the result, the random outcomes should be detected by O in V measurement for S pure ensemble of V eigenstate superposition. It's shown that the outcome probabilties obey to Born rule. The influence of O decoherence by its environment is studied, however the account of its effects doesn't change these results principally.

quant-ph↗

arXiv2012

Photonic Communications and Information Encoding in Biological Systems

The structure of optical radiation emitted by the samples of loach fish eggs is studied. It was found earlier that such radiation perform the communications between distant samples, which result in the synchronization of their development. The photon radiation in form of short quasi-periodic bursts was observed for fish and frog eggs, hence the communication mechanism can be similar to the exchange of binary encoded data in the computer nets via the noisy channels. The data analysis of fish egg radiation demonstrates that in this case the information encoding is similar to the digit to time analogue algorithm.

q-bio.OT↗

arXiv2007

Fuzzy Geometry of Phase Space and Quantization of Massive Fields

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 corresponds to the element of fuzzy ordered set (Foset) - fuzzy point. Due to Foset partial (weak) ordering, particle's space coordinate x acquires principal uncertainty dx. It's shown that Shroedinger formalism of Quantum Mechanics can be completely derived from consideration of particle evolution in fuzzy phase space with minimal number of axioms.

hep-th↗

arXiv1997

Asymptotic State Vector Collapse and QED Nonequivalent Representations

The state vector evolution in the interaction of measured pure state with the collective quantum system or the field is analyzed in a nonperturbative QED formalism. As the model example the measurement of the electron final state scattered on nucleus or neutrino is considered. The produced electromagnetic bremsstrahlung contains the unrestricted number of soft photons resulting in the total radiation flux becoming the classical observable, which means the state vector collapse. The evolution from the initial to the final system state is nonunitary and formally irreversible in the limit of the infinite time.

quant-ph↗

arXiv1996

Quantum Space-Time Transformations and Reference Frames States

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 Quantum Mechanics. Galilean or Lorentz space-time transformations are shown to become incorrect in this case and for the description of transformations between different RF the special quantum space-time transformations are introduced. Consequently it results in the generalised Schrodinger equation which depends on the observer mass. The experiments with macroscopic coherent states are proposed in which this effects can be tested.

hep-th↗

arXiv1996

Radiation Decohernce, State Vector Collapse and QED Nonequivalent Representations

The state vector evolution in the interaction of initial measured pure state with collective quantum system or the field with a very large number of degrees of freedom N is analysed in a nonperturbative QED formalism. As the example the measurement of the electron final state scattered on nucleus or neutrino is considered.In the nonperturbative field theory the complete manifold of the system states is nonseparable i.e. is described by tensor product of infinitely many independent Hilbert spaces. The interaction of this system with the measured state can result in the final states which belong to different Hilbert spaces which corresponds to different values of some classical observables,i.e. spontaneous symmetry breaking occurs. Interference terms (IT) between such states in the measurement of any Hermitian observable are infinitely small and due to it the final pure states can't be distinguished from the mixed ones, characteristic for the state collapse. The evolution from initial to final system state is nonunitary and become formally irreversible in the limit of infinite time. The electromagnetic (e-m) bremmstrahlung produced in the electron scattering process contain the unrestricted number of soft photons which radiation flux become classic observable. Analoguous processes which occurs in the second kind phase transitions in ferromagnetic and phonon excitations in cristall lattice are considered briefly.

quant-ph↗