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Article citations


Rashid, M.A. (2006) Transition Amplitude for Time-Dependent Linear Harmonic Oscillator with Linear Time-Dependent Terms Added to the Hamiltonian. Proceedings of the 12th Regional Conference on Mathematical Physics, Islamabad, Pakistan, 27 March-1 April 2006, 39-46.

has been cited by the following article:

  • TITLE: Semi-Harmonic Scaling Enables Calculation of Masses of Elementary Particles of the Standard Model

    AUTHORS: Hans J. H. Geesink, Dirk K. F. Meijer

    KEYWORDS: Algorithm, Elementary Particles, Coherent Wave Pattern, Electromagnetic Fields, Solitons, Harmonics, Cellular Automata, Quantum Mechanics, Standard Model, Einstein-Podolsky-Rosen, Bohm, Fröhlich, Pythagoras

    JOURNAL NAME: Journal of Modern Physics, Vol.9 No.5, April 11, 2018

    ABSTRACT: The underlying rules for a natural system describing cellular automata are simple, but produce highly complex behavior. A mathematical basis for the spectra of discrete coherent and non-coherent electromagnetic (EM) frequencies was derived, in which the algorithm exhibits an information distribution according to ratios of 2:3 in 1:2 at a semi-harmonic manner. This generalized music (GM) model shows that energy both in elementary particles and animate systems is semi-harmonic, quantized and discrete. A support for an ontological basis of the Standard Model was found, and indicates that the GM-model underlies the quantum field theory of subatomic particles. The present theory combines quantum mechanics and classical periodic systems, obeys to locality and solves the “hidden variable theory of Bohm”. The discovered pattern of electromagnetic field eigenvalues, within a broad range of discrete frequencies, points at a de Broglie/Bohm type of causal interpretation of quantum mechanics, implying an integral resonant pilot-wave/particle modality. The model has been substantiated by a meta-analysis of measured discrete energies of: 37 different Elementary Particles, 45 different EPR-measurements, zero-point energies of elements and about 450 electromagnetic wave frequencies of cells with a mean accuracy of 0.58%. It has been shown that the GM-scale is frequency-locked with zero-point oscillations, and thereby evidently implies involvement of entanglement.