PHILOMATH: The Geometric Unification of Science & Art Through Number By Robert Edward Grant

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Unifying the various scientific disciplines under one consistent theory is neither an impossible endeavor nor the Holy Grail, as it is often referred to. Since the dawn of history, scientists, philosophers, and sages have always pursued knowledge with an holistic instinct, believing staunchly in its universality and interconnectedness; it cannot nor should it be fragmented. Unfortunately, for about 100 years or more, the academic mentality has oriented toward extreme fragmentation and specialization of the scientific fields. This methodology has served humanity for some time; however, its narrow-mindedness and destructive side effects have become increasingly obvious, if not alarming. In this book, the authors try to bridge the virtual gaps that plagued the scientific process by utilizing the most fundamental branches of mathematics. Through the unification of numbers and geometry, they will strip disciplines like physics and the fundamental constants, music, geometry, prime number theory, as well as enigmatic concepts like the wave-particle duality, down to their quintessential essences, showing them all to be interconnected, emerging from few basic and simple geo-numerical laws that underlie the entire fabric of space and time. The whole process of unification is similar to an alchemical transformation where both sides of the brain become harmonious and hypersensitive to all subtle thoughts and observations, and where consciousness becomes more self-aware, attaining higher levels of understanding, morality, as well as respect towards oneself and the world.This book is just a small attempt by two knowledge seekers and numbers lovers (Philomath) who see in this new approach, or better put, old approach to knowledge, a much-needed new renaissance for both the academic and the corporate sector alike, ushering a new era that will steer our civilization away from its self-destructive path, toward a better life for humanity, and for many generations to come.

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Philomath connects number theory, analytical geometry, cryptography, physics, engineering, music and art.To get the most out of this treatise the reader should expect to be challenged:(1) To expand their vocabulary into fields beyond their expertise.(2) Be patient with yourself as you let go of past limiting beliefs & perspectives.(3) Be willing to, consciously, engage both halves of your brain -- allowing the content to create profound synergistic powers of reasoning.(4) Expect to bookmark those pages that connect with your field of interest while taking notes on new insights you come to realize along the way.My personal interest & dream, for years, had been to, someday, visualize our Cosmos so clearly that it could be explained simply. The goal: a fundamental understanding of Space~Time geometry, mass, charges, forces & fields -- everything in terms of one Unified Field. Yet, there was always this huge gap -- a chasm -- between perspectives held by most people -- and -- the realms of: Einstein's field equations, Maxwell's equations, Schrödinger's Equation, Planck-scale Quantum Mechanics, Feynman diagrams and the horrendously difficult maths used in String Theory.After assimilating the foundations set forth in the first few chapters, finally, I could see how to bring Space~Time, Relativity theories and the sub-microscopic Quantum realm within the reach of, perhaps, even a grade schooler. Finally, to be able to convey a true understanding of what Stephan Hawking would call "The Grand Design".The foundations laid out in the opening chapters emphasized the extreme importance of geometry, ratios & their reciprocals. Suddenly, my newly acquired hyper-awareness of these three ideas -- gave me Jedi-like mental powers -- making child's play of 4D Space~Time geometry, Relativity and my personal interpretations of Quantum Field Theory, the Higgs Field & some aspects of Super String & M-Theories.It is not until you get to the chapter on Reciprocals where this hyperawareness kicks in. "One" stands immutable between itself and all other reciprocals. One is the surface of "the Mirror". 1 raised to any power is 1! ONE being "the gatekeeper; … the boundary between the macrocosmic and the microcosm." This realization enabled my mind to, literally, envision what's happening in the sub-quantum realm.Holy Cow! Everything in existence is geometrically framed by the universal constants! Each constant defines different geometric ratios of reality. The Golden ratio, φ, e, π & the mighty Fine Structure Constant, α (alpha), 1/137.036 -- their meanings come from geometric relationships. This helped me understand the geometry of the electron and proton -- and to hypothesize a model for the neutron. Also, by taking seriously the important distinction between Archimedean, logarithmic & exponential spirals -- I now stop and think about which one applies to specific contexts.Astonishing to realize that a "graviton" is kind of a "dark photon".I'm super excited about applying many other insights from this book: Digital roots instead of quantum numbers and applying the chapter on Polygons & Polyhedrons to create this greatly simplified model of a truly homogeneous and isotropic universe:From page 93, I imagined 12 identical galaxies, each centered on the pentagon faces of a dodecahedron that’s inside an icosahedron. Centered inside these polygons I imagined Buckminster Fuller's famous vector equilibrium with its 12 vectors passing through the centers of each galaxy extending out through the vertices of the icosahedron. Each vector represents the timeline for each galaxy -- the direction that galaxy expands away from the 4D origin of Space~Time. Perfectly sandwiched in between these two polygons is a sphere. The flash of the Bing Bang projects a shadow of the galaxies onto the sphere. The time-radius of this whole system expands at c/pi -- determined by the Impedance of Free Space, 376.73 Ohms, Zo, while the 3D surface grows, in two directions of 3 linear dimensions, at speed of light -- determined by the Magnetic Permeability of Free Space -- thus c = Zo/μ0. This results in the great circle circumference growing at twice the speed of light. The matter in each galaxy inhibits the expansion rate in and around each massive object – resulting in a temporal-dent in, what would have been, the spherical surface. The slope of this dent results in gravity. I'll be updating TrueCosmology.info as I continue to document this emerging cosmological paradigm.All this from just the first half of the book! I've really having to dig in and study the chapters on Gravity, Electromagnetism, Light & Darkness. It'll take some serious time to program up the math emerging from the emerging insights.-- A HUGE "Congrats" goes out to Robert & Talal for their Crowning Achievement. And,…-- A BIG “Thanks” for my newly acquired Jedi-mind powers!

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Best Edition PHILOMATH: The Geometric Unification of Science & Art Through Number with FREE MOBI EDITION!

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