The Mathematical Structure Of Stable Physical Systems
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The Mathematical Structure Of Stable Physical Systems
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Author : Dr. Martin Concoyle & G.P. Coatmundi
language : en
Publisher: Trafford Publishing
Release Date : 2014
The Mathematical Structure Of Stable Physical Systems written by Dr. Martin Concoyle & G.P. Coatmundi and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Education categories.
This book is an introduction to the simple math patterns used to describe fundamental, stable spectral-orbital physical systems (represented as discrete hyperbolic shapes), the containment set has many-dimensions, and these dimensions possess macroscopic geometric properties (which are also discrete hyperbolic shapes). Thus, it is a description which transcends the idea of materialism (ie it is higher-dimensional), and it can also be used to model a life-form as a unified, high-dimension, geometric construct, which generates its own energy, and which has a natural structure for memory, where this construct is made in relation to the main property of the description being, in fact, the spectral properties of both material systems and of the metric-spaces which contain the material systems, where material is simply a lower dimension metric-space, and where both material-components and metric-spaces are in resonance with the containing space. Partial differential equations are defined on the many metric-spaces of this description, but their main function is to act on either the, usually, unimportant free-material components (to most often cause non-linear dynamics) or to perturb the orbits of the, quite often condensed, material trapped by (or within) the stable orbits of a very stable hyperbolic metric-space shape.
Perturbing Material Components On Stable Shapes
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Author : Martin Concoyle Ph.D.
language : en
Publisher: Trafford Publishing
Release Date : 2014
Perturbing Material Components On Stable Shapes written by Martin Concoyle Ph.D. and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Education categories.
This book is an introduction to the simple math patterns that can be used to describe fundamental, stable spectral-orbital physical systems (represented as discrete hyperbolic shapes, i.e., hyperbolic space-forms), the containment set has many dimensions, and these dimensions possess macroscopic geometric properties (where hyperbolic metric-space subspaces are modeled to be discrete hyperbolic shapes). Thus, it is a description that transcends the idea of materialism (i.e., it is higher-dimensional so that the higher dimensions are not small), and it is a math context can also be used to model a life-form as a unified, high-dimension, geometric construct that generates its own energy and which has a natural structure for memory where this construct is made in relation to the main property of the description being, in fact, the spectral properties of both (1) material systems and of (2) the metric-spaces, which contain the material systems where material is simply a lower dimension metric-space and where both material-components and metric-spaces are in resonance with (and define) the containing space.
Describing The Dynamics Of Free Material Components In Higher Dimensions
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Author : Dr. Martin Concoyle
language : en
Publisher: Trafford Publishing
Release Date : 2014-01-16
Describing The Dynamics Of Free Material Components In Higher Dimensions written by Dr. Martin Concoyle and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-16 with Education categories.
This book is an introduction to the simple math patterns used to describe fundamental, stable, spectral-orbital physical systems (represented as discrete hyperbolic shapes). The containment set has many dimensions, and these dimensions possess macroscopic geometric properties (which are discrete hyperbolic shapes). Thus, it is a description that transcends the idea of materialism (i.e., it is higher-dimensional), and it can also be used to model a life-form as a unified, high-dimension, geometric construct, which generates its own energy and which has a natural structure for memory, where this construct is made in relation to the main property of the description being the spectral properties of both material systems and of the metric-spaces that contain the material systems, where material is simply a lower dimension metric-space and where both material components and metric-spaces are in resonance with the containing space.
Partitioning A Many Dimensional Containment Space
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Author : Dr. Martin Concoyle
language : en
Publisher: Trafford Publishing
Release Date : 2014-01-16
Partitioning A Many Dimensional Containment Space written by Dr. Martin Concoyle and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-16 with Education categories.
This book is an introduction to the simple math patterns used to describe fundamental, stable, spectral-orbital physical systems (represented as discrete hyperbolic shapes). The containment set has many dimensions, and these dimensions possess macroscopic geometric properties (which are discrete hyperbolic shapes). Thus, it is a description that transcends the idea of materialism (i.e., it is higher-dimensional), and it can also be used to model a life-form as a unified, high-dimension, geometric construct, which generates its own energy and which has a natural structure for memory, where this construct is made in relation to the main property of the description being the spectral properties of both material systems and of the metric-spaces that contain the material systems, where material is simply a lower dimension metric-space and where both material components and metric-spaces are in resonance with the containing space.
The Authority Of Material Vs The Spirit
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Author : Douglas D Hunter
language : en
Publisher: Trafford Publishing
Release Date : 2006-12-22
The Authority Of Material Vs The Spirit written by Douglas D Hunter and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-22 with Philosophy categories.
A new mathematically-based structure for language allows for a new context with which one can make verifiable predictions about: material, life, mind, and the spiritual intent of (creative) existence.
Treasures Hidden Within The Empire
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Author : Martin Concoyle
language : en
Publisher: Trafford Publishing
Release Date : 2014-10-25
Treasures Hidden Within The Empire written by Martin Concoyle and has been published by Trafford Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-25 with Science categories.
This book is about a fundamental re-organization of language which is used, in regard to describing the stable many-(but-few)-body spectral-orbital systems, from nuclei to planetary systems, which, now, have no valid descriptions, based on, what are called, the laws of physics. The current description, based on partial differential equations, results in: non-linear, non-commutative, and an improperly identified and improperly used random basis for physical description. The result is that the properties of stability, which are observed for these systems, have not been describable in such a context. On the other hand, the already identified math patterns of geometrization, along with E Noethers symmetries, which allow the stable set of discrete hyperbolic shapes to be identified with energy-spaces, as well as the many-dimensional structure in which these stable shapes (of any size) are defined, as identified by D Coxeter, are patterns which can be used to form a new context for physical description. This is what this book is about, forming such a new context, wherein, the stable many-(but-few)-body spectral system is formulated and accurately described, ie it is solved. In such a new context, partial differential equations come to play a subordinate role to stable shapes and their relation to defining a finite stable spectral-set, which is a property of the, new, many-dimensional containment-set, a property which determines which stable patterns can exist. But there are many social forces which oppose such a discussion. These opposing social forces are also discussed.t
An Introduction To The Mathematical Structure Of Quantum Mechanics
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Author : F. Strocchi
language : en
Publisher: World Scientific
Release Date : 2008
An Introduction To The Mathematical Structure Of Quantum Mechanics written by F. Strocchi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
Arising out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students, this book formulates the mathematical structure of QM in terms of the C*-algebra of observables, which is argued on the basis of the operational definition of measurements and the duality between states and observables.
Introduction To The Mathematical Structure Of Quantum Mechanics An A Short Course For Mathematicians
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Author : Franco Strocchi
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-11-17
Introduction To The Mathematical Structure Of Quantum Mechanics An A Short Course For Mathematicians written by Franco Strocchi and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-17 with Science categories.
This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. Rather than starting from the Dirac-Von Neumann axioms, the book offers a short presentation of the mathematical structure of QM using the C--algebraic structure of the observable based on the operational definition of measurements and the duality between states and observables. The description of states and observables as Hilbert space vectors and operators is then derived from the GNS and Gelfand-Naimark Theorems.For finite degrees of freedom, the Weyl algebra codifies the experimental limitations on the measurements of position and momentum (Heisenberg uncertainty relations) and Schroedinger QM follows from the von Neumann uniqueness theorem.The existence problem of the dynamics is related to the self-adjointness of the differential operator describing the Hamiltonian and solved by the Rellich-Kato theorems. Examples are discussed which include the explanation of the discreteness of the atomic spectra.Because of the increasing interest in the relation between QM and stochastic processes, a final chapter is devoted to the functional integral approach (Feynman-Kac formula), the formulation in terms of ground state correlations (Wightman functions) and their analytic continuation to imaginary time (Euclidean QM). The quantum particle on a circle as an example of the interplay between topology and functional integral is also discussed in detail.
Emergence And Modularity In Life Sciences
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Author : Lars H. Wegner
language : en
Publisher: Springer
Release Date : 2019-02-12
Emergence And Modularity In Life Sciences written by Lars H. Wegner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-12 with Science categories.
This book focuses on modules and emergence with self-organization in the life sciences. As Aristotle observed so long ago, the whole is more than the sum of its parts. However, contemporary science is dominated by reductionist concepts and tends to neglect the non-reproducible features of complex systems, which emerge from the interaction of the smaller units they are composed of. The book is divided into three major parts; the essays in part A highlight the conceptual basis of emergence, linking it to the philosophy of science, systems biology and sustainability. This is subsequently exemplified in part B by applying the concept of emergence to various biological disciplines, such as genetics, developmental biology, neurobiology, plant physiology and ecology. New aspects of emergence come into play when biology meets the technical sciences, as revealed in a chapter on bionics. In turn, part C adopts a broader view, revealing how the organization oflife follows a hierarchical order in terms of scalar dimensions, ranging from the molecular level to the entire biosphere. The idea that life is primarily and exclusively shaped by processes at the molecular level (and, in particular, by the information encoded in the genome) is refuted; rather, there is no hierarchy with respect to the level of causation in the cross-talk between the levels. In the last two chapters, the evolutionary trend toward ever-increasing complexity in living systems is interpreted in terms of the Gaia hypothesis sensu Lovelock: the entire biosphere is viewed as a functional unit (or ‘holobiont-like system’) organized to develop and sustain life on Earth.
Theory Of Oscillation Of Nonlinear Systems
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Author : Lawrence Lee Rauch
language : en
Publisher:
Release Date : 1958
Theory Of Oscillation Of Nonlinear Systems written by Lawrence Lee Rauch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Oscillations categories.