Fadhil, S. A. and Azeez, J. H. and Hassan, M. A.
(2021)
*Derivation of a new multiscale model: I. Derivation of the model for the atomic, molecular and nano material scales.*
Indian Journal of Physics, 95 (2).
pp. 209-217.
ISSN 0973-1458,
DOI https://doi.org/10.1007/s12648-020-01710-w.

## Abstract

In the present work, a generalized form for the energy equation is derived following the concepts of a new theory called the time of events theory. This theory assumes a dynamic space-time in addition to the static space-time assumed explicitly in the special theory of relativity and implicitly in quantum mechanics. Assuming two spacetimes necessitates the complex space-time. Therefore, the energy equations are rederived assuming a real space-time, represented by the dynamic space-time, and an imaginary space-time represented by the static space-time. An angle theta is assumed between the particle's world line and the real axis. The theta value depends on the particle's mass and directly proportional to it. The heavy particles have larger theta, therefore have larger imaginary component, and the reverse is true for the light particles. The energy equations in the complex space-time were written in terms of complex velocities' squares, each equation is written independently for each particle. Then, the equations are combined to give the final equation for the assembly that is composed of atoms, ions, or molecules. Applying this procedure for the hydrogen atom led to an equation similar to the Schrodinger equation. Based on the above procedure, a general equation for more complicated systems (atoms or molecules) is derived. We find that there is a difference in the leading factors for the electron-electron term from the traditional forms of quantum mechanics. For the case of ions and non-neutral molecules, a different equation is predicted by the current work, due to differences between electrons and protons numbers.

Item Type: | Article |
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Funders: | Universiti Malaya [PR010A-13AET & UM.C/625/1/HIR/040] |

Uncontrolled Keywords: | Multiscale model; Quantum mechanics; Space time; Time of events theory; 61; 46; +w; 02; 70; Ns; 03; 65; -w |

Subjects: | Q Science > QC Physics |

Divisions: | Faculty of Engineering |

Depositing User: | Ms Zaharah Ramly |

Date Deposited: | 13 Apr 2022 02:50 |

Last Modified: | 13 Apr 2022 02:50 |

URI: | http://eprints.um.edu.my/id/eprint/26948 |

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