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Quantum Theory: An Overview. Is the World Rough or Smooth?. http://cdn.blisstree.com/files/2010/04/earth.jpg. Is the World Rough or Smooth?. Consider: Continuous and Discrete Functions Exactness versus approximation = 3.14 = 3.1415926 = 3.14159265358979323846264338327950288...
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Is the World Rough or Smooth? http://cdn.blisstree.com/files/2010/04/earth.jpg
Consider: Continuous and Discrete Functions Exactness versus approximation = 3.14 = 3.1415926 = 3.14159265358979323846264338327950288... Digital versus analog Does abstraction occur in digital to analog or analog to digital conversions? http://www.geekalerts.com/u/digital-clock.jpg http://www.exaclair.com/archive/decopatch_blog/wp-content/uploads/2008/11/clock1.jpg
Waterfall (M. C. Escher, 1961) http://www.worldofescher.com/gallery/A63L.html
Drawing Hands (M. C. Escher, 1948) http://www.worldofescher.com/gallery/A13L.html
Key Ideas in Quantum Theory Complementarity Probability Uncertainty Superposition Entanglement
Complementarity Interference http://images.suite101.com/1028851_com_spectrumel.gif http://electron9.phys.utk.edu/phys136d/modules/m9/diff.htm http://en.wikipedia.org/wiki/File:Doubleslit3Dspectrum.gif http://hyperphysics.phy-astr.gsu.edu/hbase/mod1.html
Probability Schrödinger equation http://en.wikipedia.org/wiki/Schr%C3%B6dinger_equation
Uncertainty Uncertainty Principle (Heisenberg, 1927) ∆x∆p > ħ/2 or ∆E∆t > ħ/2 where ħ=h/(2) and h=6.626068 × 10-34 m2 kg / s Heisenberg Beam splitter http://www.aip.org/history/heisenberg/p08.htm http://www.scientificsonline.com/mirror-type-beamsplitter.html http://www.health.ny.gov/environmental/radiological/radon/chain.htm http://www.cathylaw.com/virtualESnotes/Earthhistory/EarthHistoryNotes.html
Superposition http://www.google.com/imgres?q=quantum+superposition+images&start=299&hl=en&sa=X&biw=1920&bih=899&tbm=isch&prmd=imvns&tbnid=qLUHttqcHvdqaM:&imgrefurl=http://www.users.csbsju.edu/~frioux/workinprogress.html&docid=jigEOieIW173xM&imgurl=http://www.users.csbsju.edu/~frioux/superposition.GIF&w=464&h=308&ei=9eFUT4iIII3BtgeJ2tGyDQ&zoom=1&iact=hc&vpx=375&vpy=288&dur=91&hovh=183&hovw=276&tx=146&ty=120&sig=101075731616536820291&page=6&tbnh=131&tbnw=218&ndsp=62&ved=1t:429,r:1,s:299 http://www.hitachi.com/rd/research/em/doubleslit.html http://www.google.com/imgres?q=quantum+superposition+images&hl=en&sa=X&biw=1920&bih=899&tbm=isch&prmd=imvns&tbnid=ur9lq1MAGkaXUM:&imgrefurl=http://abyss.uoregon.edu/~js/qc/qc.html&docid=mbuhilbJeU4WtM&imgurl=http://abyss.uoregon.edu/~js/images/qc4.jpg&w=800&h=307&ei=6-BUT9ynGIqCtgfE5tSgDQ&zoom=1&iact=hc&vpx=144&vpy=461&dur=11927&hovh=139&hovw=363&tx=179&ty=93&sig=101075731616536820291&page=1&tbnh=83&tbnw=215&start=0&ndsp=51&ved=1t:429,r:0,s:0
Entanglement http://www.google.com/imgres?q=quantum+entanglement+images&hl=en&sa=X&biw=1920&bih=899&tbm=isch&prmd=imvns&tbnid=c6cqqf6BEHu29M:&imgrefurl=http://io9.com/quantum-entanglement/&docid=h-K0kSiabX13lM&imgurl=http://cache.io9.com/assets/images/8/2010/06/entangledphotons.jpg&w=400&h=300&ei=w-JUT7yoCtOatwe98o23DQ&zoom=1&iact=rc&dur=94&sig=101075731616536820291&page=1&tbnh=121&tbnw=164&start=0&ndsp=50&ved=1t:429,r:3,s:0&tx=88&ty=71 http://science.nasa.gov/science-news/science-at-nasa/2004/23jan_entangled/
Many Worlds http://superflux.in/blog/201004
“I…am convinced that He (God) does not play dice.” (Albert Einstein to Max Born, 1926)
Heisenberg: "One cannot observe the electron orbits inside the atom. [...] but since it is reasonable to consider only those quantities in a theory that can be measured, it seemed natural to me to introduce them only as entities, as representatives of electron orbits, so to speak.“ Einstein: "But you don't seriously believe that only observable quantities should be considered in a physical theory?“ "I thought this was the very idea that your Relativity Theory is based on?" Heisenberg asked in surprise. "Perhaps I used this kind of reasoning," replied Einstein, "but it is nonsense nevertheless. [...] In reality the opposite is true: only the theory decides what can be observed." http://www.thebigview.com/spacetime/uncertainty.html
http://www.dailytech.com/Researchers+Claim+First+Real+Quantum+Processor/article15544.htmhttp://www.dailytech.com/Researchers+Claim+First+Real+Quantum+Processor/article15544.htm