Ultimate Symmetry

This is the third volume in the Single Monad Model of the Cosmos series. The second volume introduced the Duality of Time Theory, which provided elegant solutions to many persisting problems in physics and cosmology, including super-symmetry and matter-antimatter asymmetry. In addition to uniting the principles of Relativity and Quantum theories, this theory can also explain the psychical and spiritual domains; all based on the same discrete complex-time geometry. Super-symmetry, and quantum gravity, are realized only with the two complementary physical and psychical worlds, while the spiritual realm is governed by hyper-symmetry, which mirrors the previous two levels together, and all these three realms mirror the ultimate level of absolute oneness that describes the symmetry of the divine presence of God and His Beautiful Names and Attributes. This "ULTIMATE SYMMETRY" is a modern scientific account of the same ancient mystical, and greatly controversial, theory of the "Oneness of Being" that is often misinterpreted in terms of "pantheism", but it is indeed the concluding gnostic knowledge of God and creation. Otherwise, how can we understand the origin of the cosmos, with both or either of its corporeal and incorporeal realms, without referring to its Originator! In the literal sense, ultimate or perfect symmetry may seem to be trivial, because it means that all possible transformations in such a symmetric system are invariant. The system we are talking about here is the whole Universe that we are watching and experiencing its immense and sometimes shattering changes every moment of time. Yet many great philosophers, such as Parmenides and Ibn al-Arabi, maintained their firm belief that reality is unchanging One and existence is timeless and uniform, while all apparent changes are mere illusions induced by or in our sensory faculties. Nevertheless, since we are living inside it, this illusion is as good as reality for us. Therefore, we still need to explain how the Universe is being formulated. Only when are able to transcend beyond the current chest of time, we shall discover that we were living a dream, and we shall be able to see the whole Universe as unchanging symmetry. The Single Monad Model and the resulting Duality of Time Theory provide the link between this apparent dynamic multiplicity of creation and the ultimate metaphysical oneness. In fact, the complex-time geometry concludes that we are imagining the reality because we are observing it from a genuinely imaginary time dimension. Since the ultimate reality is One, we cannot view it from outside, because there is none! Thus, as we quoted in the Introduction, in the Book of Theophanies, Ibn al-Arabi ascribes to God as saying: Listen, O My beloved! I am the conclusive entity of the World. I am the center of the circle (of existence) and its circumference. I am its simple point and its compound whole. I am the Word descending between heaven and earth. I have created perceptions for you only to perceive Me. If you then perceive Me, you perceive yourself. But don't ever crave to perceive Me through yourself! It is through My Eyes that you see Me and see yourself. But through your own eyes you can never see Me! This Theophany of Perfection summarizes the Ultimate Symmetry between the single point and the encompassing space. It also summarizes the instantaneous process of creation, or re-creation, which is breaking this symmetry into the two arrows of time, that produce particles and anti-particles, and then restoring it through each subsequent annihilation. This reunion is also the fundamental cause of motion, which is formulated as the Principle of Love that leads to the stationary action that is the initial assumption of most physics theories including Relativity and Quantum Field theories.

Papers in this volume are based on the Workshop on Symmetries in Physics held at the Centre de recherches mathematiques (University of Montreal) in memory of Robert T. Sharp. Contributed articles are on a variety of topics revolving around the theme of symmetry in physics. The preface presents a biographical and scientific retrospect of the life and work of Robert Sharp. Other articles in the volume represent his diverse range of interests, including representation theoretic methods for Lie algebras, quantization techniques and foundational considerations, modular group invariants and applications to conformal models, various physical models and equations, geometric calculations with symmetries, and pedagogical methods for developing spatio-temporal intuition. The book is suitable for graduate students and researchers interested in group theoretic methods, symmetries, and mathematical physics.

This classic book gives, in extensive tables, the irreducible representations of the crystallographic point groups and space groups. These are useful in studying the eigenvalues and eigenfunctions of a particle or quasi-particle in a crystalline solid. The theory is extended to the corepresentations of the Shubnikov groups.

Introduces the superstring theory that attempts to unite general relativity and quantum mechanics.

In the last hundred years, modern physics and cosmology have shown that there exist regions of the universe forever beyond our reach, hidden by truly ultimate horizons. Such regions exist in those remote parts of the universe where, from our point of view, space expands faster than the speed of light. They are found in black holes, where the gravity is strong enough to retain even light within its field of attraction. And in the realm of the very small, quarks must remain forever confined to their world of extreme density and can never be removed from it. The aim of this book is to describe these ultimate horizons, how they were discovered, how they shape our view of the world, and what clues we have about a world beyond them.

First Published in 2018. Routledge is an imprint of Taylor & Francis, an Informa company.

This book explores precisely how mathematics allows us to model and predict the behaviour of physical systems, to an amazing degree of accuracy. One of the oldest explanations for this is that, in some profound way, the structure of the world is mathematical. The ancient Pythagoreans stated that “everything is number”. However, while exploring the Pythagorean method, this book chooses to add a second principle of the universe: the mind. This work defends the proposition that mind and mathematical structure are the grounds of reality.

Will we ever discover a single scientific theory that tells us everything that has happened, and everything that will happen, on every level in the Universe? The quest for the theory of everything - a single key that unlocks all the secrets of the Universe - is no longer a pipe-dream, but the focus of some of our most exciting research about the structure of the cosmos. But what might such a theory look like? What would it mean? And how close are we to getting there? In New Theories of Everything, John D. Barrow describes the ideas and controversies surrounding the ultimate explanation. Updating his earlier work Theories of Everything with the very latest theories and predictions, he tells of the M-theory of superstrings and multiverses, of speculations about the world as a computer program, and of new ideas of computation and complexity. But this is not solely a book about modern ideas in physics - Barrow also considers and reflects on the philosophical and cultural consequences of those ideas, and their implications for our own existence in the world. Far from there being a single theory uniquely specifying the constants and forces of nature, the picture today is of a vast landscape of different logically possible laws and constants in many dimensions, of which our own world is but a shadow: a tiny facet of a higher dimensional reality. But this is not to say we should give up in bewilderment: Barrow shows how many rich and illuminating theories and questions arise, and what this may mean for our understanding of our own place in the cosmos.