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The fields of pure Mathematics and theoretical Physics have been intellectually difficult fields. There have been times when certain approaches are proposed and that revolutionize the way we see the field. This is one such book. It is time to elaborate what this means. The book was published in 1987 and now has been catalogued in world’s almost all major libraries. The book is divided into three parts and adopting a proper inter-disciplinary approach, the book tends to target (and more or less solve) the many outstanding problems in the fields of humanities (where a lot of mathematical treatment has been proposed in an effective manner) and intellectually challenging fields of pure Mathematics and theoretical Physics. The basic paradigm on which the book is based is that logic is treated as a problem solving behavior. This treatment of logic allows making logic a way of thinking rather than a subject. This helps incorporate both deductive and inductive fields in a single thread as has been achieved in the book. Giving a proper (and drastically enlightening) definitions of many terms like “subject”, “word”, “provisional truth”, “set”, the book embarks the reader on a grand journey to a completely new interpretation of the world view. The preface of the book is long as compared to other works but it serves the true purpose of “preface” and introduces the basic many notions used throughout the book. It is here only where the problem statement has been formulated and reduces the analyses to one basic fundamental question “Geometrize the translation using quantum logic in a gradient field?”. This book is nothing but an exploration of this basic question from a very fundamental point of view. The basic mathematical model has been laid out and that has been used throughout. The reader can skip this portion but that would be inadvisable if one really wants to grasp the depth and width of intellectual richness of this book. Being much ahead of its time, the book amazingly treats many various concepts from the field of string theory and also introduces many ideas sprinkled logically throughout the book that has never been discussed before. The most important aspect of this book, apart from all others, is its essential revision of many of the already existing concepts like “holomorphic function”, “gravitational spin”, “propositional calculus” (that has been completely reformulated), to name a few things among a list of extremely vast and diverse, yet logical and unified, terms and concepts. The beauty of the book lies in its immense graphical approach that has been done and all graphs are shown at the end of the book.
The two fundamental pillars of mathematics are geometry and algebra. Both have been analyzed with tremendous insights in the book. Specifically, Lie algebra has been defined as an algebra which is predicate, and is of operators that all commute with each other. The commutativity test has been explained before this to further deepen the insight. All concepts have been explained and more importantly, defined. The concept of point topology has been used throughout and to give an example, is used in the context of fundamental vector whose components are provided in the context of point topology and such vectors are to have a velocity whose measure is to provided approximately by flux divided by capacitance. In basic mechanics, work is defined as
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displacement times force applied in the direction of the displacement that causes that displacement. In this book, the modern perspective has been given. All of modern Physics is based on the concept of fields and this is used to redefine the concept of work. Boldly defining this concept, the author has defined it by proposing that the configured field potential with conditional confinement is the capacity to do the work. In other words, this is the energy of the system in question. The concept of “ideology” is generally held in the context of politics or economics where a particular conforming set of ideas are termed as so. The true interdisciplinary concept of this work is that it uses this concept of this word in a mathematical sense and is proposed to play as a fundamental entity in comparing different systems, be it physical or economic or political. Ideology is stated as nothing but recounting the history of the system (that can be physical) by limiting the number of inequalities to minimum. Accordingly, ideological differences lead to comparison of number of inequalities required to recount the history of the system. Corollary is straightforward that lesser number of inequalities, the better the system. The beautiful nature of the book emerges that it highlights the concept of duality. As done in other book by the author along with giving a precursor in this book, it is straightforward to understand that any event, say a big bang, cannot be a singular event. Finally all models are dependent of interpretations. And this too has been highlighted in the book. The interpretation of any model is nothing but related to the semantics and that it crosses the limits of calculus used to understand the system. This review can go on and on about the tremendous work in this comparatively small book. The set theory has been based upon with a great clarity and so does all other concepts that flow naturally, at least so do they seem to appear because of the clarity of the author.
Finally, any review about this book will be left incomplete by not writing anything about the author. The author has studied economics in one of the international centers of excellence in India, namely Jawaharlal Nehru University, New Delhi. He has studied a variety of other fields and based on the above review, readers expect him to be an intellectual working in the field of pure Mathematics or theoretical Physics. The former is true but the latter is utterly wrong. He is an intellectual but by profession he is an advocate and has pursued the field of law as his profession where he has published many articles and a book as well. Applying his formidable logic and clarity of thoughts to law, he is a successful lawyer working at none other than the Hon’ble Supreme Court of India itself. This shows the diversity and width he has got in his encyclopaedic knowledge which can be further enhanced by pointing out that he is a parapsychologist as well having publications there too. So the inter-disciplinary book and his renowned stature as a lawyer, parapsychologist, economist, logician etc. make a wonderful combination that is clearly depicted in his book. The level of honesty with truth and facts are also evident in his work(s) just like his character that he professes every day in his life. The dedication towards his work can be understood by knowing that the works he produces (or the cases he fights as his profession) are all very logical, honest and intellectual. As stated above, the proof of this is that his works have been catalogued by London Mathematical Society, Russian Academy of Sciences, Harvard University’s library to name a few. He has been involved with the New Age movement and as per the reviews produced by respectable newspapers in India like
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the Times of India, the Hindustan Times, etc. this book when published generated a range of healthy disputes and without wavering at all, gives a new basis to fundamental principles which is also explicit in the above review. Every great theory predicts its own demise. Just like the famous Godel's incompleteness theorem as the most important result in metamathematics, the author notes the following. "Every theory has a loop-hole and if it is able to explain anything it is a coincidence." As a final note, this book is nothing short of genius original perspective but this requires an intellectual level to comprehend what the author is trying to convey. This is not meant for faint hearts and must not be missed by intellectuals.
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