Joseph E. Johnson
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View article: The Retention of Information in the Presence of Increasing Entropy Using Lie Algebras Defines Fibonacci-Type Sequences
The Retention of Information in the Presence of Increasing Entropy Using Lie Algebras Defines Fibonacci-Type Sequences Open
In the general linear Lie algebra of continuous linear transformations in n dimensions, we show that unequal Abelian scaling transformations on the components of a vector can stabilize the system information in the presence of Markov compo…
View article: Riemannian geometry reframed as a generalized lie algebra to integrate general relativity with the standard model
Riemannian geometry reframed as a generalized lie algebra to integrate general relativity with the standard model Open
This paper is based upon the observation that the translation operator D in a curved space–time must depend upon the position of the particle and thus one must allow the [D, X] commutator to be a function of position X in a generalized Lie…
View article: Applying Machine Learning Algorithms to Classify Digitized Special Nuclear Material Obtained from Scintillation Detectors
Applying Machine Learning Algorithms to Classify Digitized Special Nuclear Material Obtained from Scintillation Detectors Open
The capability to discriminate among nuclear fuel properties is essential for a successful nuclear safeguard and security program. Accurate nuclear material identification is hindered due to challenges such as differing levels of enrichmen…
View article: Additively Manufactured Inconel 718 Low-Cycle Fatigue Performance
Additively Manufactured Inconel 718 Low-Cycle Fatigue Performance Open
Inconel 718 is one of the most used alloys within the aerospace gas turbine industry. The acceptance of Inconel 718 within the aerospace gas turbine industry has largely been due to its high strength and fatigue capabilities up to 677 °C (…
View article: Impact of Notches on Additively Manufactured Inconel 718 Tensile Performance
Impact of Notches on Additively Manufactured Inconel 718 Tensile Performance Open
This study was completed in effort to characterize the notch sensitivity of additively manufactured (AM) Inconel 718 produced by laser powder bed fusion (L-PBF). Three different root radii on V-notched test specimens and smooth specimens w…
View article: Riemannian Geometry Framed as a Generalized Heisenberg Lie Algebra
Riemannian Geometry Framed as a Generalized Heisenberg Lie Algebra Open
The Heisenberg Lie algebra (HA) plays an important role in mathematics with Fourier transforms, as well as for the foundations of quantum theory where it expresses the operators of space-time, X, and their commutation rules with the moment…
View article: Chemical Speciation of Some Metal Ions in Surface Water Samples of Itu River, Akwa Ibom State, Nigeria
Chemical Speciation of Some Metal Ions in Surface Water Samples of Itu River, Akwa Ibom State, Nigeria Open
In this research work, Chemical speciation of some metal ions in surface water of Itu River in Akwa Ibom state was carried out using PHREEQC geochemical model. This area is widely polluted by trading, fishing and agricultural activities. T…
View article: An Integration of General Relativity and Relativistic Quantum Theory
An Integration of General Relativity and Relativistic Quantum Theory Open
In previous work, the author extended the Poincare Lie algebra to include a four position operator as a natural extension to a large fifteen parameter Lie algebra of operators. We here propose to generalize the metric contained in those st…