15 citations · 52 across the 25 of their papers we have counts for
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Modern Infinitesimal Analysis Applied to the Physical Metric dS and a Theoretical Verification of a Time-dilation Conjecture
Robert A. Herrmann
In this paper, the modern theory of infinitesimals is applied to the General Relativity metric dS and its geometric and physical meanings are rigorously investigated. Employing res…
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…
An Ultimate Hyperfinite Ultralogic Unification for all Physical Theories
Robert A. Herrmann
In this paper, all of the restrictions that were previously required in order to obtain a hyperfinite unification for a set of physical theories have been removed. This yields the…
Standard and Hyperfinite Unifications for All Physical Theories
Robert A. Herrmann
In this paper, the set of all physical theories is represented by a countable subset of the lattice of consequence operators defined on a language L. It is established that there e…
An Ultralogic Unification for All Physical Theories
Robert A. Herrmann
In this paper, the set of all physical theories is represented by a countable collection of consequence operators. It is established that in the Grundlegend Structure, a nonstandar…
A Nonstandard Derivation for the Special Theory of Relativity
Robert A. Herrmann
Using properties of the nonstandard physical world, a new fundamental derivation for all of the effects of the Special Theory of Relativity is given. This fundamental derivation re…
The Wondrous Design and Non-random Character of "Chance" Events
Robert A. Herrmann
In this article, it is shown specifically that natural system chance events as represented by theory predicted (a priori) probabilistic statements used in such realms as modern par…