Wyniki wyszukiwania - BazTech

Ograniczanie wyników

3 International Letters of Chemistry, Physics and Astronomy

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 3

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Implementation of a quantized line element in Klein-Gordon and Dirac fields

Bulathsinghala D. L., Wijewardena Gamalath K. A. I. L

International Letters of Chemistry, Physics and Astronomy

2015

Vol. 48

68--86

In this paper an ansatz that the anti-commutation rules hold only as integrated average over time intervals and not at every instant giving rise to a time-discrete form of Klein-Gordon equation is examined. This coarse-grained validation of the anti-commutation rules enables us to show that the relativistic energy-momentum relation holds only over discrete time intervals, fitting well with the timeenergy uncertainty relation. When this time-discrete scheme is applied to four vector notations in relativity, the line-element can be quantized and thereby how the physical attributes associated with time, space and matter can be quantized is sketched. This potentially enables us to discuss the Zeno’s arrow paradox within the classical limit. As the solutions of the Dirac equation can be used to construct solutions to the Klein-Gordon equation, this temporal quantization rule is applied to the Dirac equation and the solutions associated with the Dirac equation under such conditions are interpreted. Finally, the general relativistic effects are introduced to a line-element associated with a particle in relativistic motion and a time quantized line-element associated with gravity is obtained.

Planck scale potential associated with particles

Bulathsinghala D.L., Gamalath K.A.I.L.W.

International Letters of Chemistry, Physics and Astronomy

2013

Vol. 11

54--64

As the particles originating from point-like entities are associated with infinite self energies, a postulate, that the scalar-potential associated with particles are bounded by a Planck scale potential is introduced. By defining the self energy of a particle, equivalences between charge-energy and mass-energy are obtained. The electromagnetic energy-momentum equation, de-Broglie’s electromagnetic wave-length and frequency for a charge particle in motion are presented resolving the “4/3” discrepancy. The non-covariance nature of the present classical electrodynamics is discussed and how the proposed postulate makes it a fully covariant theorem with the rest of the classical electrodynamics is presented. A way electromagnetic energy-momentum equation could potentially resolve the stability-problem of a charge particle is discussed and thereby a theoretical explanation to electron’s spin is presented.

On the Complementary Wave Interpretation of the Dirac Equation

Bulathsinghala D. L., Wijewardena Gamalath K. A. I. L.

International Letters of Chemistry, Physics and Astronomy

2013

Vol. 9, iss. 2

103-115

The Dirac equation consistent with the principles of quantum mechanics and the special theory of relativity, introduces a set of matrices combined with the wave function of a particle in motion to give rise to the relativistic energy-momentum relation. In this paper a new hypothesis, the wave function of a particle in motion is associated with a pair of complementary waves is proposed. This hypothesis gives rise to the same relativistic energy-momentum relation and achieves results identical to those of Dirac. Additionally, both the energy-time and momentum-position uncertainty relations are derived from the complementary wave interpretation. How the complementary wave interpretation of the Dirac equation is related to the time-arrow and the four-vectors are also presented.