The vacuum structure, special relativity theory, and quantum mechanics: A return to the field theory approach without geometry

Bogolubov, N. N.; Prykarpatsky, Anatoliy K.; Taneri, Ufuk

doi:10.1007/s11232-009-0101-8

Cited by 7 publications

(2 citation statements)

References 23 publications

(44 reference statements)

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“…From the point of view of RQM and QFT, vacuum is defined as the state of lowest energy filled with virtual particles spontaneously coming out of the void and disappearing in it (e.g., [44,45]), with the notion that known elementary particles may form pairs with their antiparticles and become virtual on the time and energy scales corresponding to these particles (e.g., [46][47][48]). The theory presented in this paper and its uncertainty relation given by Equation (44) shows that masses of virtual particles do not have to be limited by experimentally established masses of known elementary particles, as virtual particles may have any mass, including masses of all known particles, which are required by this theory to be stable and detectable if, and only if, their lifetimes are infinititely long.…”

Section: Physical Implicationsmentioning

confidence: 99%

Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications

Tran

Musielak

2021

Mathematics

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A new formulation of relativistic quantum mechanics is presented and applied to a free, massive, and spin-zero elementary particle in the Minkowski spacetime. The reformulation requires that time and space, as well as the timelike and spacelike intervals, are treated equally, which makes the new theory fully symmetric and consistent with the special theory of relativity. The theory correctly reproduces the classical action of a relativistic particle in the path integral formalism, and allows for the introduction of a new quantity called vector-mass, whose physical implications for nonlocality, the uncertainty principle, and quantum vacuum are described and discussed.

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Section: Physical Implicationsmentioning

confidence: 99%

Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications

Tran

Musielak

2021

Mathematics

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“…To make the problem more transparent we will analyze it in the section below from the vacuum field theory approach recently devised in [12][13][14][15]52]. …”

Section: )mentioning

confidence: 99%

The Relativistic Electrodynamics Least Action Principles Revisited: New Charged Point Particle and Hadronic String Models Analysis

2010

Self Cite

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The classical relativistic least action principle is revisited from the vacuum field theory approach. New physically motivated versions of relativistic Lorentz type forces are derived, a new relativistic hadronic string model is proposed and analyzed in detail. The reasonings of R. Feynman, who argued that the relativistic dynamical expressions obtain true physical sense only with respect to the proper rest reference frames, are supported by analyzing the dynamical stability of a relativistic charged string model.

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The Analysis of Lagrangian and Hamiltonian Properties of the Classical Relativistic Electrodynamics Models and Their Quantization

Bogolubov

Prykarpatsky

2009

Found Phys

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The Lagrangian and Hamiltonian properties of classical electrodynamics models and their associated Dirac quantizations are studied. Using the vacuum field theory approach developed in (Prykarpatsky et al. Theor. Math. Phys. 160(2): 1079-1095, 2009 and The field structure of a vacuum, Maxwell equations and relativity theory aspects. Preprint ICTP) consistent canonical Hamiltonian reformulations of some alternative classical electrodynamics models are devised, and these formulations include the Lorentz condition in a natural way. The Dirac quantization procedure corresponding to the Hamiltonian formulations is developed. The crucial importance of the rest reference systems, with respect to which the dynamics of charged point particles is framed, is explained and emphasized. A concise expression for the Lorentz force is derived by suitably taking into account the duality of electromagnetic field and charged particle interactions. Finally, a physical explanation of the vacuum field medium and its relativistic properties fitting the mathematical framework developed is formulated and discussed.

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The vacuum structure, special relativity theory, and quantum mechanics: A return to the field theory approach without geometry

Cited by 7 publications

References 23 publications

Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications

Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications

The Relativistic Electrodynamics Least Action Principles Revisited: New Charged Point Particle and Hadronic String Models Analysis

The Analysis of Lagrangian and Hamiltonian Properties of the Classical Relativistic Electrodynamics Models and Their Quantization

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