Physical Science International Journal, ISSN: 2348-0130,Vol.: 16, Issue.: 4

Original-research-article

Generalized Uncertainty Relations in Quantum Mechanics and the Principles of Completeness in Physics

P. Castro^1*, J. R. Croca^1,2, M. Gatta^1,3 and R. Moreira¹

Article Information
Editor(s):
(1) Rami Ahmad El-Nabulsi, Athens Institute for Education and Research, Mathematics and Physics Divisions, Greece.
(2) Abbas Mohammed, Professor, Blekinge Institute of Technology, Sweden.
Reviewers:
(1) Sebahattin Tüzemen, Ataturk University, Turkey.
(2) S. B. Ota, Institute of Physics, India.
(3) Francisco Bulnes, Technological Institute of High Studies of Chalco, Mexico.
(4) Eli Comay, Israel.
(5) O. J. Oluwadare, Federal University Oye-Ekiti, Nigeria.
Complete Peer review History: http://www.sciencedomain.org/review-history/22348

Focusing on the initial development of quantum mechanics, we will give a brief historical synopsis of the theory foundations, based on the Fourier framework and stating the philosophical conclusions inspired by that same mathematical formalism. We will then proceed, introducing an alternative way of describing the undulatory aspects of quantum entities, using local Gaussian Morlet wavelets. As we shall see, this change implies different philosophical interpretations about quantum reality and, even more, about the contemporary accepted differences between the quantum and the macroscopic realms. From these we will witness the formal and heuristic power of wavelet local analysis applied to the physical description of Nature. The ideas presented in this paper are initial standpoints of what can hopefully be expected to be a more mature and unifying physical theory, still undergoing development.

Keywords :

Orthodox quantum mechanics; nonlinear quantum physics; nonlocal Fourier analysis; local analysis by wavelets; Fourier ontology; Heisenberg uncertainty relations; general uncertainty relations; principles of completeness.

Full Article - PDF    Page 1-9

DOI : 10.9734/PSIJ/2017/37038