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D. Saltzberg, P. Gorham, D. Walz, C. Field, R. Iverson, A. Odian, G. Resch, P. Schoessow and D. Williams, “Observation of the Askaryan Effect: Coherent Microwave Cherenkov Emission from Charge Asymmetry in High Energy Particle Cascades,” Physical Review Letters, Vol. 86, No. 13, 2001, pp. 2802-2805. http://dx.doi.org/10.1103/PhysRevLett.86.2802

has been cited by the following article:

• TITLE: Numerical Uncertainty and Its Implications

  AUTHORS: António F. Rodrigues, Nuno O. Martins

  KEYWORDS: Geometry; Algebra; Numerical Uncertainty; Fine Structure Constant and Physical Uncertainty

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.3, February 25, 2014

  ABSTRACT: A scrutiny of the contributions of key mathematicians and scientists shows that there has been much controversy (throughout the development of mathematics and science) concerning the use of mathematics and the nature of mathematics too. In this work, we try to show that arithmetical operations of approximation lead to the existence of a numerical uncertainty, which is quantic, path dependent and also dependent on the number system used, with mathematical and physical implications. When we explore the algebraic equations for the fine structure constant, the conditions exposed in this work generate paradoxical physical conditions, where the solution to the paradox may be in the fact that the fine-structure constant is calculated through different ways in order to obtain the same value, but there is no relationship between the fundamental physical processes which underlie the calculations, since we are merely dealing with algebraic relations, despite the expressions having the same physical dimensions.