Quantum mechanics in the K-field formalism: Field equation

1995 ◽  
Vol 38 (8) ◽  
pp. 789-791
Author(s):  
K. B. Korotchenko
Keyword(s):  
Quantum Mechanics ◽  
Field Equation ◽  
Field Formalism

Exploration of the unification of fields

2019 ◽  
Vol 32 (3) ◽  
pp. 399-410
Author(s):  
Ge Guangzhou
Keyword(s):  
Black Hole ◽  
Electromagnetic Field ◽  
Quantum Mechanics ◽  
Field Equation ◽  
Uncertainty Principle ◽  
Equivalence Principle ◽  
Space Time ◽  
The State ◽  
State Function ◽  
Tensor Equation

This article may be deemed as an exploration on the unification of fields as well as a discussion of the completeness in physics. This author tended to support the viewpoint of Einstein and believed that the Uncertainty Principle should be in itself incomplete, and that the representation of the state function ψ should not be complete in quantum mechanics. Following a series of discussions, including the hypothesis of a new quantum, the relativity of electromagnetic field, and the general equivalence principle, this author proposes here a new field equation called Hamilton’s tensor equation (HTE). Acting as the complete presentation of Einstein’s field equation and as an extension of Hamilton’s principle, what this new field equation (HTE) has revealed is that the “virtuality” of space‐time, rather than its curvature, is what determines the distribution and movement of matter and energy. Based on this new field equation (HTE), the author has extended the study to include the unification of fields, a model of new particle, and the phenomenon of black hole.

scholarly journals Simultaneous emergence of curved space–time and quantum mechanics

2016 ◽  
Vol 94 (2) ◽  
pp. 192-200
Author(s):  
S.S. De ◽  
F. Rahaman
Keyword(s):  
Quantum Mechanics ◽  
Field Equation ◽  
Riemannian Space ◽  
Generalized Uncertainty Principle ◽  
Space Time ◽  
Curved Space ◽  
The Universe ◽  
Finslerian Space ◽  
Zero Time ◽  
Friedmann Robertson Walker

It is shown in this paper that the geometrically structureless space–time manifold is converted instantaneously to a curved, a Riemannian, or may be a Finslerian space–time with an associated Riemannian space–time, on the appearance of quantum Weyl spinors dependent only on time in a background flat manifold and having the symplectic property in the abstract space of spinors. The scenario depicts simultaneous emergence of gravity in accord with general relativity and quantum mechanics. The emergent gravity leads to the generalized uncertainty principle, which in turn ushers in discrete space–time. The emerged space–time is specified here as to be Finslerian and the field equation in that space–time has been obtained from the classical one due to the arising quantized space and time. From this field equation we find the quantum field equation for highly massive (of the Planck order) spinors in the associated Riemannian space of the Finsler space, which is in fact, the background homogeneous and isotropic Friedmann–Robertson–Walker space–time of the universe. These highly massive spinors provide the mass distribution complying with the Einstein equivalence principle. All these occurred in the indivisible minimum time considered as zero time or spontaneity.

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