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Books > Science & Mathematics > Mathematics > General
This book has been a work in progress since 1971 in which the
author reveals his then, way out ideas and imaginations about the
origin of the universe, religion, gender bias in language, future
economic and social systems, future space travel and the
rectification of PI in a peanutshell. Many of his ideas have now
been proven, like the black hole theory and many other ideas are
now being considered by the established authorities in their
respective fields. And there are many other ramblings and
reflections of an active mind that are still crazy but provocative
and entertaining.
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Gauge theories have provided our most successful representations of
the fundamental forces of nature. How, though, do such
representations work? Interpretations of gauge theory aim to answer
this question. Through understanding how a gauge theory's
representations work, we are able to say what kind of world our
gauge theories reveal to us.
A gauge theory's representations are mathematical structures.
These may be transformed among themselves while certain features
remain the same. Do the representations related by such a gauge
transformation merely offer alternative ways of representing the
very same situation? If so, then gauge symmetry is a purely formal
property since it reflects no corresponding symmetry in
nature.
Gauging What's Real describes the representations provided by
gauge theories in both classical and quantum physics. Richard
Healey defends the thesis that gauge transformations are purely
formal symmetries of almost all the classes of representations
provided by each of our theories of fundamental forces. He argues
that evidence for classical gauge theories of forces (other than
gravity) gives us reason to believe that loops rather than points
are the locations of fundamental properties. In addition to
exploring the prospects of extending this conclusion to the quantum
gauge theories of the Standard Model of elementary particle
physics, Healey assesses the difficulties faced by attempts to base
such ontological conclusions on the success of these theories.
What God Numbers can be found in DNA and the Prime Numbers and the
Atomic Weights of the 92 Natural Elements? Do nuclear explosions
and hummingbird wing beats have common numerical factors? Do these
God Numbers control the distribution of the Prime Numbers and all
of the physical constants found in physics, biology and chemistry?
Do heart beat cycles have a common mathematical relationship with
music note vibrations? Is the Bible really relevant with today's
modern scientific research? Are these God Numbers functions of
Einstein's Law E = m ? Is the "Speed of Light" related to these God
Numbers? Are all physical and mathematical constants interrelated
with each other? The purpose of this book is to demonstrate actual
mathematical calculations that bring together many mathematical,
physical, chemical, biological and Biblical concepts. There seems
to be a common thread that holds everything together. Is this the
"Theory of Everything" that scientists and mathematicians have been
searching for? It may well be Let's find out together
At the time that the Constitution was adopted, the 10th
Amendment was intended to confirm the understanding of the States
Governments Republics' people. 10th Amendment expressly declares
the constitutional policy of the Federal Government Republic. In
the transformation from colonies to states and a colonial Federal
government to a United States Federal government resulted in the
wording of the 10th Amendment. The 10th Amendment states the powers
not (delegated power clause) delegated to the United States by the
constitution, nor prohibited by it to the states, are (reserved
power clause) reserved to the states respectively, or to the
people. "All any past or unknown future power" belongs to the
States government or the people within. The "reserved power clause"
implies "all any past or unknown future power"
The solution for the problems presented in this book are solved
with algebra, analytic geometry, differential and integral calculus
geometry, MATLAB and vector analysis.
This volume stems from the Linde Hall Inaugural Math Symposium,
held from February 22-24, 2019, at California Institute of
Technology, Pasadena, California. The content isolates and
discusses nine mathematical problems, or sets of problems, in a
deep way, but starting from scratch. Included among them are the
well-known problems of the classification of finite groups, the
Navier-Stokes equations, the Birch and Swinnerton-Dyer conjecture,
and the continuum hypothesis. The other five problems, also of
substantial importance, concern the Lieb-Thirring inequalities, the
equidistribution problems in number theory, surface bundles,
ramification in covers and curves, and the gap and type problems in
Fourier analysis. The problems are explained succinctly, with a
discussion of what is known and an elucidation of the outstanding
issues. An attempt is made to appeal to a wide audience, both in
terms of the field of expertise and the level of the reader.
The theory of Memory Evolutive Systems represents a mathematical
model for natural open self-organizing systems, such as biological,
sociological or neural systems. In these systems, the dynamics are
modulated by the cooperative and/or competitive interactions
between the global system and a net of internal Centers of
Regulation (CR) wich a differential access to a central
heirarchical Memory.
The MES proposes a mathematical model for autonomous evolutionary
systems and is based on the Category Theory of mathematics. It
provides a framework to study and possibly simulate the structre of
"living systems" and their dynamic behavior. MES explores what
characterizes a complex evolutionary system, what distinguishes it
from inanimate physical systems, its functioning and evolution in
time, from its birth to its death.
The behavior of this type of system depends heavily on its former
experiences, and a model representing the system over a period of
time, could anticipate later behavior and perhaps even predict some
evolutionary alternatives.
The role of the MES model will be two-fold: theoretical, for a
comprehension of a fundamental nature and practical, for
applications in biology, medicine, sociology, ecology, economy,
meteorology, and other sciences.
Key Features:
*Comprehensive and comprehensible coverage of Memory Evolutive
System
*Written by the developers of the Memory Evolutive Systems
*Designed to explore the common language between sciences
Ingeniero de Caminos (Civil engineer MSc equiv.) from the
University of Santander in Spain. He has spent part of his last
twenty years of activity doing applied research, both in the
university and in private companies. He has worked in several areas
such as construction, structural engineering, nuclear energy,
university, ... holding positions from scholar to CEO and also
R&D manager. All these activities have been developed with
innovative eagerness and noncoforming spirit.
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