The Quantum Framework For Our Mathematical Universe Full Dissertation

Utilizing multiple theorems derived from Z = {∀Θ∈Z→∃s ∈ S ʌ ∃t ∈ T: Θ= 〈 (s,t)}., and formulating the equation: X=O+Σ H +( n (log)Φ/P d x , as well as some mathematical constraints and numerous implications in Quantum Physics, Classical Mechanics, and Algorithmic Quantization, we come up with a framework for mathematically representing our universe. These series of individualized papers make up a huge part of a dissertation on the subject matter of Quantum Similarity. Everything including how we view time itself and the origin point for our universe is explained in theoretical details throughout these papers.

Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.

The influence of materialist ontology largely dominates philosophical and scientific discussions. However, there is a resurgent interest in alternative ontologies from panpsychism (the view that at the base of reality exists potential minds, minds, or mind-lets) to idealism and dualism (the view that all of reality is material and mental). The Routledge Handbook of Idealism and Immaterialism is an outstanding reference source and the first major collection of its kind. Historically grounded and constructively motivated, it covers the key topics in philosophy, science, and theology, providing students and scholars with a comprehensive introduction to idealism and immaterialism. Also addressed are post-materialism developments, with explicit attention to variations of idealism and immaterialism (the view that reality depends on a mind or a set of minds). Comprising 44 chapters written by an international and interdisciplinary team of contributors, the Handbook is organised into five clear parts: Idealism and the history of philosophy Important figures in idealism Systematic assessment of idealism Idealism and science Idealism, physicalism, panpsychism, and substance dualism Essential reading for students and researchers in metaphysics, philosophy of science, philosophy of religion, and philosophy of mind, The Routledge Handbook of Idealism and Immaterialism will also be of interest to those in related discplines where idealist and immaterialist ontology impinge on history, science, and theology.

Classical physics states that physical reality is local--a point in space cannot influence another point beyond a relatively short distance. However, In 1997, experiments were conducted in which light particles (photons) originated under certain conditions and traveled in opposite directions to detectors located about seven miles apart. The amazing results indicated that the photons "interacted" or "communicated" with one another instantly or "in no time." Since a distance of seven miles is quite vast in quantum physics, this led physicists to an extraordinary conclusion--even if experiments could somehow be conducted in which the distance between the detectors was half-way across the known universe, the results would indicate that interaction or communication between the photons would be instantaneous. What was revealed in these little-known experiments in 1997 is that physical reality is non-local--a discovery that Robert Nadeau and Menas Kafatos view as "the most momentous in the history of science." In The Non-Local Universe, Nadeau and Kafatos offer a revolutionary look at the breathtaking implications of non-locality. They argue that since every particle in the universe has been "entangled" with other particles like the two photons in the 1997 experiments, physical reality on the most basic level is an undivided wholeness. In addition to demonstrating that physical processes are vastly interdependent and interactive, they also show that more complex systems in both physics and biology display emergent properties and/or behaviors that cannot be explained in the terms of the sum of parts. One of the most startling implications of non-locality in human terms, claim the authors, is that there is no longer any basis for believing in the stark division between mind and world that has preoccupied much of western thought since the seventeenth century. And they also make a convincing case that human consciousness can now be viewed as emergent from and seamlessly connected with the entire cosmos. In pursuing this groundbreaking argument, the authors not only provide a fascinating history of developments that led to the discovery of non-locality and the sometimes heated debate between the great scientists responsible for these discoveries. They also argue that advances in scientific knowledge have further eroded the boundaries between physics and biology, and that recent studies on the evolution of the human brain suggest that the logical foundations of mathematics and ordinary language are much more similar than we previously imagined. What this new knowledge reveals, the authors conclude, is that the connection between mind and nature is far more intimate than we previously dared to imagine. What they offer is a revolutionary look at the implications of non-locality, implications that reach deep into that most intimate aspect of humanity--consciousness.

Are space and time fundamental features of our world or might they emerge from something else? The Foundation of Reality brings together metaphysicians and philosophers of physics working on space, time, and fundamentality to address this timely question. Recent developments in the interpretation of quantum mechanics and the understanding of certain approaches to quantum gravity have led philosophers of physics to propose that space and time might be emergent rather than fundamental. But such discussions are often conducted without engagement with those working on fundamentality and related issues in contemporary metaphysics. This book aims to correct this oversight. The diverse contributions to this volume address topics including the nature of fundamentality, the relation of space and time to quantum entanglement, and space and time in theories of quantum gravity. Only through consideration of a range of different approaches to the topic can we hope to get clear on the status of space and time in our contemporary understanding of physical reality.

Diffusive motion--displacement due to the cumulative effect of irregular fluctuations--has been a fundamental concept in mathematics and physics since Einstein's work on Brownian motion. It is also relevant to understanding various aspects of quantum theory. This book explains diffusive motion and its relation to both nonrelativistic quantum theory and quantum field theory. It shows how diffusive motion concepts lead to a radical reexamination of the structure of mathematical analysis. The book's inspiration is Princeton University mathematics professor Edward Nelson's influential work in probability, functional analysis, nonstandard analysis, stochastic mechanics, and logic. The book can be used as a tutorial or reference, or read for pleasure by anyone interested in the role of mathematics in science. Because of the application of diffusive motion to quantum theory, it will interest physicists as well as mathematicians. The introductory chapter describes the interrelationships between the various themes, many of which were first brought to light by Edward Nelson. In his writing and conversation, Nelson has always emphasized and relished the human aspect of mathematical endeavor. In his intellectual world, there is no sharp boundary between the mathematical, the cultural, and the spiritual. It is fitting that the final chapter provides a mathematical perspective on musical theory, one that reveals an unexpected connection with some of the book's main themes.

This discussion resulted from a dialogue which began some seven years ago between a physicist who specializes in astrophysics, general relativity, and the foundations of quantum theory, and a student of cultural history who had done post-doctoral work in the history and philosophy of science. Both of us at that time were awaiting the results of some experiments being conducted under the direction of the physicist Alain Aspect at the University of Paris-South. ! The experiments were the last in a series designed to test some predictions based on a mathematical 2 theorem published in 1964 by John Bell. There was no expectation that the results of these experiments would provide the basis for developing new technologies. The questions which the experiments were designed to answer concerned the relation ship between physical reality and physical theory in the branch of physics known as quantum mechanics. Like most questions raised by physicists which lead to startling new insights, they were disarmingly simple and direct. Is quantum physics, asked Bell, a self-consistent theory whose predictions would hold in a new class of experiments, or would the results reveal that the apparent challenges of quantum physics to the understanding in classical physics of the relationship between physical theory and physical reality were merely illusory? Answering this question in actual experiments could also, suggested Bell, lead to another, quite dramatic, result.

At the intersection of physics and philosophy of science, this book outlines the philosophical challenge to theoretical physics in a measured, well-grounded manner. Cosmologists, high energy physicists, and philosophers including graduate students and researchers will find a systematic exploration of such questions in this important book.