15 citations · 52 across the 25 of their papers we have counts for
7 papers · 1 filter
A Hypercontinuous Hypersmooth, Scharzschild Line Element Transformation
Robert A. Herrmann
In this paper, the Eddington-Finkelstein transformation is used as an illustration of how the problem of singularities or infinities can be removed by application of nonstandard an…
An Operator Equation and Relativistic Alterations in the Time for Radioactive Decay
Robert A. Herrmann
In this paper, using concepts from the nonstandard physical world, the linear effect line element is derived. Previously this line element was employed to obtain, with the exceptio…
Operator Equations, Separation of Variables and Relativistic Alterations
Robert A. Herrmann
In this paper, a simple and unified method is developed that predicts the relativistic alterations of physical measures when the behavior of a natural system is characterized by me…
Nonstandard Analysis Applied to Advanced Undergraduate Mathematics - Infinitesimal Modeling
Robert A. Herrmann
This is a Research and Instructional Development Project from the U. S. Naval Academy. In this monograph, the basic methods of nonstandard analysis for n-dimensional Euclidean spac…
Nonstandard Analysis Applied to Special and General Relativity - The Theory of Infinitesimal Light-Clocks
Robert A. Herrmann
Nonstandard analysis and electromagnetic propagation properties are used to derive all of the fundamental results for the Special Theory of Relativity. Infinitesimal modeling via i…
Nonstandard Analysis - A Simplified Approach
Robert A. Herrmann
In this monograph, nonstandard characteristics for many notions from real analysis are obtained and applied. However, only two simple types of atomic formula are used and almost al…
The Best Possible Unification for any Collection of Physical Theories
Robert A. Herrmann
It is shown that the set of all finitary consequence operators defined on any nonempty language is a join-complete lattice. This result is applied to various collections of physica…