The God of Physicists

Link to Cosmology and Music post

Quotes of Einstein on God

http://newsweek.washingtonpost.com/onfaith/guestvoices/2007/04/einstein_and_the_mind_of_god.html

We Physicists Are the Only Scientists Who Can Say the Word “God” and Not Blush – Michio Kaku
“As you know, I work in something called String Theory which makes the statement that we are reading the mind of God. It’s based on music or little vibrating strings thus giving us particles that we see in nature. The laws of chemistry that we struggled with in high school would be the melodies that you can play on these vibrating strings. The Universe would be a symphony of these vibrating strings and the mind of God that Einstein wrote about at length would be cosmic music resonating through this nirvana… through this 11 dimensional hyperspace—that would be the mind of God. We physicists are the only scientists who can say the word “God” and not blush.

The fact of the matter is that we are dealing with the cosmic questions of existence and meaning. Thomas Huxley, the great biologist of the last century said that the question of all questions for science and religion is to determine our true place and our true role in the Universe. For both science and religion it is the same question.

However, there has essentially been a divorce in the last century or so between that of science and the Humanists and I think that it’s very sad that we don’t speak the same language anymore.”

BigThink.com Michio Kaku:
“The “mind of God” is a phrase of Einstein’s, who used it to refer to an ultimate understanding of the universe and its laws, and stated his desire to achieve that understanding through science. The supercollider is a “Genesis Machine” that will re-create, on a microscopic scale, perhaps the most glorious event in the history of the universe–its birth–and take us one step closer to fulfilling Einstein’s goal – and mine.”

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“Today the LHC may have the potential to explain the origin of all four fundamental forces: gravity, electromagnetism, and the strong and weak nuclear forces. Physicists believe that at the beginning of time there was a single superforce that unified these fundamental forces. Finding it could be the crowning achievement in the history of science.

Through the LHC, we hope to finally prove the existence of the Higgs boson, which is the only particle yet to be observed by the Standard Model. There is a hypothetical, ever-present quantum field that is supposedly responsible for giving particles their masses; this field would answer the basic question of why particles have the masses they do or why they have any mass at all. According to CERN, “The answer may be the so-called Higgs mechanism. According to the theory of the Higgs mechanism, the whole of space is filled with a ‘Higgs field,’ and by interacting with this field, particles acquire their masses. Particles that interact intensely with the Higgs field are heavy, while those that have feeble interactions are light. The Higgs field has at least one new particle associated with it, the Higgs boson. If such a particle exists, experiments at the LHC will be able to detect it.”

Ultimately, what we want to get out of the Large Hadron Collider is something so fantastic, it could rewrite science entirely. We want to create something called sparticles (super-particles) that represent the next set of vibrations of the superstring. We are now on the verge of being able to detect signals from the eleventh dimension—signals from hyperspace. In the eleventh dimension, these four forces just melt together into one gorgeous theory that—if understood and proven—will allow us to “read the mind of God.”

BigThink.com Michio Kaku:
“The “multiverse” idea—once thought to be so crazy it only belonged on late night television—has now become the dominant theory in all of cosmology. The idea now dominates conversations in science circles and it seems you cannot avoid the theory of the multiverse.

Einstein first gave us the idea that the universe is a soap bubble of some sort and we reside on the skin of this expanding bubble. This observation of an expanding bubble is now one of the greatest experimental achievements of the last century. Now imagine if you run the videotape backwards, the bubble would shrink and eventually become small enough to put in your coat pocket. If this “bang” happened once, it can happen again, again and again. This concept is mind boggling, that idea that entire universes are being created as you are reading this very blog entry.

When speaking about the multiverse, I’m often asked questions about the different kinds of universes that can form as a result of extra dimensions, string theory or even chaotic inflation for example. These are in some sense different kinds of universes but for me personally, it’s very aesthetically pleasing. This all goes back to my childhood with my parents being Buddhist. In Buddhism, you believe in nirvana and timelessness with no beginning and no end. As a child I went to Sunday school where I learned about arks, great floods and the instant of creation when God said, “Let there be Light”. So, all my life I’ve had these two competing paradigms in my head. With the multiverse idea, we have the beautiful melding of these two ideas. The reason being is that we do have this nirvana, this timelessness, this eleven dimensional hyperspace, this arena of string theory. But we also have bubbles that form all the time, almost like a bubble bath. Sometimes the bubbles expand rapidly giving us universes, combine with other bubbles and sometimes even pop. This continual creation, the idea of a multiverse is very pleasing to me because I can now meld Buddhist nirvana with Judeo-Christian epistemology.

We have this arena of eleven-dimensional hyperspace and within it these bubbles start to expand and they vibrate. In string theory we of course have the music of strings which gives us the particles we see in nature. This is also pleasing to me because Einstein spent the last three decades of his life trying to read the mind of God and he asked himself “What are God’s thoughts?” Well, believe it or not, for the first time we now have a candidate for the mind of God. The mind of God, according to this multiverse picture, is cosmic music resonating through eleven dimensional hyperspace. When I say “God,” I’m talking about the God of Spinoza, not necessarily the personal God that answers prayers and feeds the sick. I’m speaking metaphorically about the God of both harmony and beauty. In other words, as I have stated time and time again, it didn’t have to be this way: our Universe could have been random, chaotic and ugly. And I find it absolutely staggering that we can summarize all the laws of physics going back 2,000 years to the Greeks on a single sheet of paper. The goal of string theory is to, of course, have it in an equation no more than an inch long. In the beginning, there was not light but rather there was the one-inch equation which then drives the gears of the entire Universe. This is the Holy Grail.“

Potential Geometry in Quantum Physics and Vision

Infinite Dimensionality in Physical Representation

Newscientist

http://www.circular-theory.com/

http://www.google.com/search?hl=en&safe=off&q=E8+Lie+Group+geometry+optics&btnG=Search&aq=f&aqi=&aql=&oq=&gs_rfai=

post ted talk

http://www.squidoo.com/lisigarrett

Garret Lisi responds to refutation

The Scientific Promise of Perfect Symmetry

http://www.physorg.com/search/?search=e8+lie+group+geometry+optics

Scripps Research Institute E8 symmetry DNA

http://www.pnas.org/content/100/20/11216.full.pdf

http://mathworld.wolfram.com/HyperspherePacking.html

http://en.wikipedia.org/wiki/Self-organized_criticality

http://en.wikipedia.org/wiki/Relational_order_theories

http://en.wikipedia.org/wiki/Quantum_criticality

http://en.wikipedia.org/wiki/Quantum_phase_transition

http://en.wikipedia.org/wiki/First-order_phase_transition

Golden ratio discovered in a quantum world
“When applying a magnetic field at right angles to an aligned spin the magnetic chain will transform into a new state called quantum critical, which can be thought of as a quantum version of a fractal pattern. Prof. Alan Tennant, the leader of the Berlin group, explains “The system reaches a quantum uncertain – or a Schrödinger cat state. This is what we did in our experiments with cobalt niobate. We have tuned the system exactly in order to turn it quantum critical.”

By tuning the system and artificially introducing more quantum uncertainty the researchers observed that the chain of atoms acts like a nanoscale guitar string. Dr. Radu Coldea from Oxford University, who is the principal author of the paper and drove the international project from its inception a decade ago until the present, explains: “Here the tension comes from the interaction between spins causing them to magnetically resonate. For these interactions we found a series (scale) of resonant notes: The first two notes show a perfect relationship with each other. Their frequencies (pitch) are in the ratio of 1.618…, which is the golden ratio famous from art and architecture.” Radu Coldea is convinced that this is no coincidence. “It reflects a beautiful property of the quantum system – a hidden symmetry. Actually quite a special one called E8 by mathematicians, and this is its first observation in a material”, he explains.

The observed resonant states in cobalt niobate are a dramatic laboratory illustration of the way in which mathematical theories developed for particle physics may find application in nanoscale science and ultimately in future technology. Prof. Tennant remarks on the perfect harmony found in quantum uncertainty instead of disorder. “Such discoveries are leading physicists to speculate that the quantum, atomic scale world may have its own underlying order. Similar surprises may await researchers in other materials in the quantum critical state.”

http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TJ7-45S9JVY-1&_user=10&_origUdi=B6WK3-4DTKDT8-77&_fmt=high&_coverDate=06%2F30%2F2002&_rdoc=1&_orig=article&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=8d025db96d90c39f8f29b3bc89e277a0
onelinkwrong

http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6X1M-45FKPGJ-8&_user=10&_coverDate=12%2F31%2F1980&_rdoc=1&_fmt=high&_orig=search&_sort=d&_docanchor=&view=c&_rerunOrigin=scholar.google&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=547877a98733766a0b0526fe09557df6

geometric psychology, google names for further research

“Subjective geometry” is a term coined by Weintraub and Krantz to describe the distortion imposed upon geometric patterns by the visual system itself—so-called optical illusions. The latter are widely regarded as being generated by misplaced “constancy” effects, i.e., they are regarded as stemming from the invariance of an object’s appearance under wide variations in viewing conditions, such as obliquity, rotations, etc. The invariances represented by these constancies—shape constancy, size constancy, etc.—are spatiotemporal invariants of certain Lie subgroups of P4(R) circled plus CO(1, 3) circled plus GL(4, R) that govern Euclidean and non-Euclidean geometry. That Euclidean subgroups describe a Cyclopean visual world; the non-Euclidean, a binocular (bipolar) world of hyperbolic nature, according to the work of Luneburg, Blank, Indow, and others. The visual field of view is itself a geometric object involving not only “figure” and “ground” but also visual contours (orbits of the Lie groups involved), linear perspective, interposition, and contact and symplectic structures. The retina and “cortical retina” are both covered by a family of “circular-surround” cellular response fields (of a “Mexican hat” nature) which constitute an atlas for the visual manifold S. Upon this manifold are defined certain equivariant vector bundles that account for constancy phenomena and certain jet bundles, arising out of the vector bundles by prolongation, that generate the differential invariants characterizing higher form perception. The resultant theory of perceptual-cognitive processing has been termed “geometric psychology,” in analogy to MacLane’s “geometrical mechanics” and Brockett–Hermann–Mayne’s “geometry of systems,” the mathematical structure being very similar in all three instances. Functorial maps from the category GvFB(S) of equivariant fibre bundles to the simplicial category and the category of simplicial objects complete the theory by extending the perceptual system to cognitive phenomena and information-processing psychology.

Constructive Aspect of Visual Perception

Similar ancient sacred geometrical objects:

Metatron’s Cube

Infinite Dimensionality in Physical Representation

Link to Circle is absolute intelligence
Link to Science and Art posts
Link to Collective Unconscious
Link to Expansion of Space
Potential Geometry in Quantum Physics and Vision

Collect Harmony of the Spheres quotes

embed pics of mobius geometry

Golden Ratio Discovered in Quantum World

Spacetime May Have Fractal Properties on a Quantum Scale

The New New Math of String Theory

Scalar Gravitation and Extra Dimensions

(In The Character of Physical Law)Richard Feynman:

BigThink.com Michio Kaku: “In short, the quantum theory allows us to understand the world of the very small and the fundamental properties of matter.

Our deepest understanding of the atomic world comes from the advent of the quantum theory. Having this deep understanding of the various elements of the theory allows us to do much more than just move atoms around or know exactly why things behave the way they do. The theory itself underlies the entire architecture of the world we see today and beyond. It has ultimately allowed us to develop the most advanced technologies to make our lives easier. The marvels of science that we see and use every single day including the Internet, your cell phone, GPS, your email, HD television—all of it—comes from our deep understanding of this theory. This theory offers a very different way to view the world they we live in—one where the simple laws of conventional physics simply don’t apply at all. Quantum theory is so eccentric and peculiar that even Einstein himself couldn’t wrap his head around it. The great physicist, Richard Feynman once stated that “It is impossible, absolutely impossible to explain it in any classical way”.

Some of what quantum theory predicts and states is almost like something out of science fiction. Matter can essentially be in an infinite number of places at any given time; it is possible that there are many worlds or a multiverse; things disappear and reappear somewhere else; you cannot simultaneously know the exact position and momentum of an object; and even quantum entanglement (Einstein referred to it as spooky action at a distance) where it’s possible for two quantum particles to link together effectively making them part of the same entity or entangled. Even if these particles are separated, a change in one is ultimately and instantly reflected in it’s counterpart. At the end of the day, the world of entanglement caused physicists like Einstein to both dislike the predictions and feel nothing more as if their were serious errors in the calculations. As Einstein once wrote: “I find the idea quite intolerable that an electron exposed to radiation should choose of its own free will, not only its moment to jump off, but also its direction. In that case, I would rather be a cobbler, or even an employee in a gaming house, than a physicist”.”
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“Quantum Computing, which is making direct use of the quantum mechanical phenomena, such as superposition and entanglement to perform operations on data. In contrast with a classical computer which has memory made of bits where each bit represents a one or a zero (binary code), a quantum computer will operate on what is called “qubits.” According to Wikipedia, a single qubit can represent a one, a zero, or, crucially, any quantum superposition of these; moreover, a pair of qubits can be in any quantum superposition of 4 states, and three qubits in any superposition of 8 and so on. Superposition refers to the quantum mechanical property which states that all particles exist in not one state but all possible states at once. In short, a quantum computer will essentially be able to crack any algorithm, solve mathematical problems much more quickly and ultimately operate millions of times faster than conventional computers.”
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“The list goes on an on an on: Quantum Dots; Quantum Wires or Carbon Nanotubes; Metamaterials; Invisibility; Quantum Optics; Teleportation; Communication; Space Elevators; Limitless Quantum Energy; Room Temperature Superconductors; Personal Fabicators; Nanotechnology and even Time Travel. Other applications that will strive are advances in battery technology; solar panels; stealth applications; and even advances in biotechnology and medicine. Needless to say, we have only scratched the surface of some of these technologies and time will perfect them. We’ve got a very interesting future ahead of us….”

http://en.wikipedia.org/wiki/Zero-energy_Universe

http://physicsworld.com/cws/article/print/23009

http://icosmos.co.uk/

http://www.flowresearch.com/circular.html

Boundary Dissolution between points, lines, circles, and spheres

http://en.wikipedia.org/wiki/Lie_sphere_geometry

quotes

http://en.wikipedia.org/wiki/Theorema_Egregium

quotes

http://en.wikipedia.org/wiki/Projective_geometry

http://en.wikipedia.org/wiki/Space_(mathematics)

http://en.wikipedia.org/wiki/Phase_space

http://en.wikipedia.org/wiki/Asymptote

http://www.sciencemuseum.org.uk/images/I046/10314748.aspx

http://en.wikipedia.org/wiki/N-dimensional_space

“Sometimes it is convenient in science to describe the state of an object with n degrees of freedom as if it were a point in some n-dimensional space. For example, classical mechanics describes the three-dimensional position and momentum of a point particle as a point in 6-dimensional phase space.”

http://en.wikipedia.org/wiki/Fifth_dimension_(geometry)
“In 1993 the physicist Gerard ‘t Hooft put forward the holographic principle, which explains that the information about an extra dimension is visible as a curvature in a spacetime with one fewer dimensions. For example, holograms are three-dimensional pictures placed on a two-dimensional surface, which gives the image a curvature when the observer moves. Similarly, in general relativity, the fourth dimension is manifested in observable three dimensions as the curvature of path of a moving infinitesimal (test) particle. Hooft has speculated that the fifth dimension is really the spacetime fabric.”

Space-Time-Matter

http://astro.uwaterloo.ca/~wesson/

http://www.archive.org/details/spacetimematter00weyluoft

http://www.popmath.org.uk/sculpmath/pagesm/fibundle.html

http://en.wikipedia.org/wiki/Circle_bundle
In physics, circle bundles are the natural geometric setting for electromagnetism. A circle bundle is a special case of a sphere bundle.

http://en.wikipedia.org/wiki/Kaluza_Klein
In 1926, Oskar Klein proposed that the fourth spatial dimension is curled up in a circle of very small radius, so that a particle moving a short distance along that axis would return to where it began. The distance a particle can travel before reaching its initial position is said to be the size of the dimension. This extra dimension is a compact set, and the phenomenon of having a space-time with compact dimensions is referred to as compactification.

In modern geometry, the extra fifth dimension can be understood to be the circle group U(1), as electromagnetism can essentially be formulated as a gauge theory on a fiber bundle, the circle bundle, with gauge group U(1). Once this geometrical interpretation is understood, it is relatively straightforward to replace U(1) by a general Lie group.

http://en.wikipedia.org/wiki/Infinite-dimensional_space

http://en.wikipedia.org/wiki/Foundational_crisis_of_mathematics#Foundational_crisis

Mathematics vs. Metamathematics

http://en.wikipedia.org/wiki/Hilbert%27s_program

http://en.wikipedia.org/wiki/M%C3%B6bius_transformation

http://en.wikipedia.org/wiki/Conformal_field_theory

http://en.wikipedia.org/wiki/Conformal_geometry

http://en.wikipedia.org/wiki/Topology

http://en.wikipedia.org/wiki/Curvature

http://en.wikipedia.org/wiki/Orbifold

quotes, in music, etc

http://www.music.princeton.edu/~dmitri/sciencearticle.html

http://www.time.com/time/magazine/article/0,9171,1582330,00.html

http://harvardmagazine.com/2007/01/mapping-music.html

http://www.brainmusic.org/EducationalActivitiesFolder/Tymoczko_chords2006.pdf

http://en.wikipedia.org/wiki/Orbifold_notation

http://en.wikipedia.org/wiki/Shape_of_the_Universe

http://en.wikipedia.org/wiki/Differential_geometry

http://en.wikipedia.org/wiki/Differential_geometry_of_surfaces
Surfaces have been extensively studied from various perspectives: extrinsically, relating to their embedding in Euclidean space and intrinsically, reflecting their properties determined solely by the distance within the surface as measured along curves on the surface. One of the fundamental concepts investigated is the Gaussian curvature, first studied in depth by Carl Friedrich Gauss (1825-1827), who showed that curvature was an intrinsic property of a surface, independent of its isometric embedding in Euclidean space.
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“An important role in their study has been played by Lie groups (in the spirit of the Erlangen program), namely the symmetry groups of the Euclidean plane, the sphere and the hyperbolic plane. These Lie groups can be used to describe surfaces of constant Gaussian curvature; they also provide an essential ingredient in the modern approach to intrinsic differential geometry through connections.”

http://en.wikipedia.org/wiki/Connection_(mathematics)

http://en.wikipedia.org/wiki/Simply_connected

http://en.wikipedia.org/wiki/Knot_theory

http://en.wikipedia.org/wiki/String_links

http://en.wikipedia.org/wiki/Brunnian_link

http://en.wikipedia.org/wiki/Borromean_rings

http://en.wikipedia.org/wiki/Molecular_Borromean_rings

http://www.livescience.com/strangenews/091216-reappearing-particle-trio.html

http://en.wikipedia.org/wiki/Contact_geometry#Legendrian_submanifolds_and_knots

http://en.wikipedia.org/wiki/Noncommutative_standard_model

http://en.wikipedia.org/wiki/Noncommutative_geometry

http://en.wikipedia.org/wiki/Noncommutative_quantum_field_theory

http://en.wikipedia.org/wiki/Lagrangian

http://en.wikipedia.org/wiki/Hausdorff_dimension

http://en.wikipedia.org/wiki/Kodaira_dimension

http://en.wikipedia.org/wiki/Fractal_dimension

http://en.wikipedia.org/wiki/Multifractal_analysis

http://en.wikipedia.org/wiki/Higgs_boson

http://en.wikipedia.org/wiki/Quantum_harmonic_oscillator

http://mdigest.jrc.ec.europa.eu/soille/soille-rivest96.pdf

http://en.wikipedia.org/wiki/Functional_analysis

In the modern view, functional analysis is seen as the study of vector spaces endowed with a topology, in particular infinite dimensional spaces. In contrast, linear algebra deals mostly with finite dimensional spaces, or does not use topology. An important part of functional analysis is the extension of the theory of measure, integration, and probability to infinite dimensional spaces, also known as infinite dimensional analysis.

http://en.wikipedia.org/wiki/Poincar%C3%A9_disk_model

http://www.mcescher.com/Gallery/recogn-bmp/LW436.jpg

http://en.wikipedia.org/wiki/Hyperbolic_geometry

http://en.wikipedia.org/wiki/Point_at_infinity

ideal point, omega point

http://www.pbs.org/wnet/hawking/universes/html/bound.html
“A proposal first advanced by Stephen Hawking and Jim Hartle, the no-boundary universe is one in which the universe does not start with a singularity. It uses American physicist Richard Feynman’s proposal to treat quantum mechanics as a “sum over histories,” meaning that a particle does not have one history in space-time but instead follows every possible path to reach its current state. By summing these histories—a difficult process that must be done by treating time as imaginary—you can find the probability that the particle passes through a particular point.”

http://webcache.googleusercontent.com/search?q=cache:cQGLK4Vo8hYJ:www.neuroquantology.com/journal/index.php/nq/article/viewFile/397/444+10500+compactified&cd=2&hl=en&ct=clnk&gl=us