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Research Article Open access CC BY 4.0

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

P. Castro, J. R. Croca, M. Gatta, R. Moreira

Physical Science International Journal · pp. 1–9 · Published 18 Dec 2017

10.9734/PSIJ/2017/37038

Abstract

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.  

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

References (5)

  1. 1 Precision Tests of Quantum Mechanics [DOI]
  2. 2 The Current Interpretation of Wave Mechanics: a Critical Study
  3. 3 Towards a Nonlinear Quantum Physics [DOI]
  4. 4 Quantum fluctuations and inertia [DOI]
  5. 5 Explicit mathematical construction of relativistic nonlinear de Broglie waves described by three-dimensional (wave and electromagnetic) solitons “piloted” (controlled) by corresponding solutions of associated linear Klein-Gordon and Schrödinger equations [DOI]

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