It is astonishing how wide the enumeration of scientific fields is in this book. One can find here foundations of new mathematics with the new real number system; philosophical foundations of the new physics; theory of evolution; qualitative modeling and quantum gravity; cosmology and macro gravity; theory of intelligence and the nature of thought; geological and atmospheric turbulence and others. In each area of science the author has proposed new nonstandard approaches to its development and solved long-standing problems. The author has formulated about 50 laws of nature that cover vast areas of natural science.
His Grand Unified Theory (GUT) must find a deserving place among other theories claiming to be named Unified Theories. GUT as well as its theoretical applications is based on about 50 natural laws. Foremost among them are: the existence of two fundamental states of matter – visible and dark – and the basic constituent of matter, the superstring, that comprises both fundamental states. Suitable agitation converts dark or non-agitated and semi-agitated superstrings to agitated superstrings or visible matter. The author’s attempt to lift the veil over dark matter deserves attention.
The author’s important contributions in the new mathematics are the resolution of Fermat’s Last Theorem (FLT); the solution of the gravitational n-body problem using the integrated Pontrjagin maximum principle; and the construction of the new real number system (new reals) including the dark number that qualitatively models the superstring.
There are many other new scientific approaches in the book. However, no one on Earth possesses Truth at the highest level and this book while proposing new approaches calls the reader to further investigation.
Institute of Mathematics and Computer Science
University of Latvia, Rainis Boulevard, 29, Riga, LV-1459, Latvia
Scientific natural philosophy is distinguished from previous philosophies for being based on the grand unified theory (GUT). Its methodology of qualitative modeling explains how nature works, while quantitative modeling describes nature’s appearances mathematically. Therefore, GUT can be understood only as self-contained unified physical theory based on the laws of nature. However, the two methodologies are complementary, each indispensable to the other.
Chapter 1 deals with the foundations of mathematics and physics. Chapter 2 surveys the classical and new mathematics involved in the development of GUT but provides full details on the new real number system. Chapter 3 is the formulation of GUT through its three pillars – quantum and macro gravity and thermodynamics. Chapter 4 offers a wide range of applications of GUT from the theory of intelligence and the Earth sciences through astronomy, cosmology, biology, physical psychology, genetic engineering for the treatment of genetic diseases and optimal control theory through the integrated Pontrjagin maximum principle in the derivation of the quantitative component of the solution of the n-body problem. Chapter 5, the final and main chapter, provides the philosophical integration and summation of this work. Except for Chapter 2 the book is accessible to the general readership.
The author acknowledges with deep appreciation the contributions of colleagues, Professors C. G. Jesudason of the University of Malaya, for sustained debate on GUT, E. de la Cruz of California State University, Northridge, for constructive criticisms, and V. Gudkov of the University of Latvia for continued support and collaboration, all of whom contributed immensely to this book. Most of all, greatly indebted to Professor V. Lakshmikantham for paving the way to the frontiers of mathematics and science.
E. E. Escultura
GVP - V. Lakshmikantham Institute for Advanced Studies
GVP College of Engineering, JNT University, Madurawada Visakhapatnam 530041 AP
List of Contributors
E. E. Escultura