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WikiBook : God and Mathematics

Patterns in nature
Many forms observed in nature can be related to geometry (for sound reasons of resource optimization). For example, the chambered nautilus grows at a constant rate and so its shell forms a logarithmic spiral to accommodate that growth without changing shape. Also, honeybees construct hexagonal cells to hold their honey. These and other correspondences are seen by believers in sacred geometry to be further proof of the cosmic significance of geometric forms. But scientists generally see such phenomena as the logical outcome of natural principles.

Signs of GOD

 * $$e^{i \pi} + 1 = 0\,\!$$


 * $$e\,\!$$ is E (mathematical constant), the base of the natural logarithm,
 * $$i\,\!$$ is the imaginary unit, which satisfies i2 = −1, and
 * $$\pi\,\!$$ is pi, the ratio of the circumference of a circle to its diameter.

Sacred geometry
Sacred geometry may be understood as a worldview of pattern recognition and a complex system of religious symbols and structures involving space, time and form. According to this belief, the basic patterns of existence are perceived as sacred. By connecting with these, a person contemplates the Mysterium Magnum, and the Great Design. By studying the nature of these patterns, forms and relationships and their connections, insight may be gained into the mysteries – the laws and lore of the Universe.

The golden ratio, geometric ratios, and geometric figures were often employed in the design of Egyptian, ancient Indian, Greek and Roman architecture. Medieval European cathedrals also incorporated symbolic geometry. Indian and Himalayan spiritual communities often constructed temples and fortifications on design plans of mandala and yantra. For examples of sacred geometry in art and architecture refer:


 * Labyrinth (an Eulerian path, as distinct from a maze)
 * Mandala
 * Parthenon
 * Tree of Life
 * Celtic art such as the Book of Kells

Theories

 * Mathematical universe hypothesis - Max Tegmark

An Exceptionally Simple Theory of Everything
An Exceptionally Simple Theory of Everything is a theory proposing a basis for a unified field theory or possible theory of everything, using some ideas from loop quantum gravity.

Consider a wavy, two-dimensional surface, with many different spheres glued to the surface—one sphere at each surface point, and each sphere attached by one point. This geometric construction is a fiber bundle, with the spheres as the "fibers," and the wavy surface as the "base." A sphere can be rotated in three different ways: around the x-axis, the y-axis, or around the z-axis. Each of these rotations corresponds to a symmetry of the sphere. The fiber bundle connection is a field describing how spheres at nearby surface points are related, in terms of these three different rotations. The geometry of the fiber bundle is described by the curvature of this connection. In the corresponding quantum field theory, there is a particle associated with each of these three symmetries, and these particles can interact according to the geometry of a sphere.

In Lisi's model, the base is a four-dimensional surface—our spacetime—and the fiber is the E8 Lie group, a complicated 248 dimensional shape, which some mathematicians consider to be the most beautiful shape in mathematics. In this theory, each of the 248 symmetries of E8 corresponds to a different elementary particle, which can interact according to the geometry of E8. As Lisi describes it: "The principal bundle connection and its curvature describe how the E8 manifold twists and turns over spacetime, reproducing all known ﬁelds and dynamics through pure geometry."

The complicated geometry of the E8 Lie group is described graphically using group representation theory. Using this mathematical description, each symmetry of a group—and so each kind of elementary particle—can be associated with a point in a diagram. The coordinates of these points are the quantum numbers—the charges—of elementary particles, which are conserved in interactions. Such a diagram sits in a flat, Euclidean space of some dimension, forming a polytope, such as the 421 polytope in eight-dimensional space.

In order to form a theory of everything, Lisi's model must eventually predict the exact number of fundamental particles, all of their properties, masses, forces between them, the nature of spacetime, and the cosmological constant. Much of this work is still in the conceptual stage—in particular, quantization and predictions of particle masses have not been done. And Lisi himself acknowledges it as a work-in-progress: "The theory is very young, and still in development."

Multiverse

 * AND MATH RULING

String_theory

 * WITH MATH RULING

Philosophy Of Mathematics
(ABOUT NATURE AND REALITY)

Quotations

 * http://cauchy.math.okstate.edu/~wli/teach/fmq.html
 * http://members.cox.net/mathmistakes/quotes.htm
 * http://www.quotegarden.com/math.html
 * http://en.wikiquote.org/wiki/Transwiki:Mathematics_and_God

Books about the subject

 * Does God Play Dice : The Mathematics of Chaos
 * Mathematics: Is God Silent?
 * The Loom of God: Tapestries of Mathematics and Mysticism
 * Equations from God: Pure Mathematics and Victorian Faith
 * A New Kind of Science (Hardcover)
 * God in Mathematics the Novel
 * The Nature of Consciousness : The Structure of Reality: Theory of Everything Equation Revealed : *Scientific Verification and Proof of Logic God Is
 * God Created the Integers: The Mathematical Breakthroughs that Changed History
 * Godel, Escher, Bach: An Eternal Golden Braid
 * Is god a mathematician?
 * God's Equation: Einstein, Relativity, and the Expanding Universe
 * The Paradox of God and the Science of Omniscience
 * Life, the Universe and Everything: Investigating God and the New Physics
 * Mathematics: God's Light in Mathematics
 * Myth of Invariance: The Origins of the Gods, Mathematics and Music from the Rg Veda to Plato
 * Mathematical Undecidability, Quantum Nonlocality and the Question of the Existence of God
 * Inside The Mind Of God: Images and Words of Innter Space