Unity Root Matrix Theory Mathematical and Physical Advances Volume This third book in the series on Unity Root Matrix Theory URMT advances the subject into mainstream physics by detailing how it relates to such topics as the classical harmonic oscillator The Special
This third book in the series on Unity Root Matrix Theory URMT advances the subject into mainstream physics by detailing how it relates to such topics as the classical harmonic oscillator, The Special Theory of Relativity and some related cosmology The book starts by extending URMT s mathematical methods to handle arbitrary real and complex vectors, and then proceeds toThis third book in the series on Unity Root Matrix Theory URMT advances the subject into mainstream physics by detailing how it relates to such topics as the classical harmonic oscillator, The Special Theory of Relativity and some related cosmology The book starts by extending URMT s mathematical methods to handle arbitrary real and complex vectors, and then proceeds to show how oscillators and Special Relativity can be formulated in the language of URMT Among the results is the embodiment of Einstein s relativistic energy momentum equation in a 5D formulation, with mass emergent from a scalar potential There are also some cosmological implications stemming from a relativistic Doppler solution, notably the Hubble expansion law all quite an achievement given URMT s origins in number theory and Diophantine equations Additionally, using URMT s unique variational methods, a 4D formulation naturally produces a quadratic, harmonic potential, with a consequent solution for the harmonic oscillator Other topics include Lorentz transformations and some mechanics The book finishes by showing how these real and complex formulations can be recast in integers, i.e a return to URMT s integer foundations This book marks a significant advance in the practical applications of URMT, and is subtitled Volume I in the knowledge that URMT physics lies ahead.

Unity Root Matrix Theory  Mathematical and Physical Advances  Volume 1  Richard J. Miller 149 Richard J. Miller

Title: Unity Root Matrix Theory  Mathematical and Physical Advances  Volume 1  Richard J. Miller
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Published :20190508T06:22:06+00:00
About " Richard J. Miller "
Richard J. Miller
Richard J Miller is the Alfred Newton Richards Professor of PharmacologyProfessor in Molecular Pharmacology and Biological Chemistry at Northwestern University.Dr Miller s research has concerned the properties of neurotransmitters and their receptors in nerve cell function This has included work on dopamine receptors, opiate receptors and cytokine receptors Dr Miller has also worked extensively on understanding the structure and function of calcium channels The influx of calcium into neurons through these channels is important for many reasons, including the release of neurotransmitters His laboratory has analyzed the properties of these molecules by examining their electrophysiological properties and has generated calcium channel knockout mice Other projects in his lab aim to understand the molecular basis of neurodegenerative disease such as Alzheimer s disease, amyotrophic lateral sclerosis ALS or Lou Gehrig s disease , HIV 1 related dementia and other neuropathological conditions.Dr Miller obtained his Ph.D at Cambridge University Prior to joining Northwestern, he was Assistant Professor and Professor at the University of Chicago.