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Page Title

Doing Physics with Quaternions


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"Video Ed Technical shows, Not-so-technical, quaternion animations, all served up from YouTube. Watch and learn! Visual Physics.org A community research web site centered on visualing quaternions, often motivated by physics. Math ( pdf ) An overview A brief history of quaternions Multiplying quaternions the easy way Inner and outer products Scalars, vectors, tensors and all that Quaternion analysis ( pdf , related video: "Why Quantum Mechanics is Weird" ) Topology Where quaternions fit in math , adapted from Max Tegmark, 1998. Tools for algebra, trig, logs... Java Quaternion calculator Dynamic graphs Physics Classical Physics ( pdf ) F = m a, in an inertial frame, in polar coordinates, and in a rotating reference frame The simple harmonic oscillator and wave equation 4 tests for a conservative force Unifying Gravity and EM I think it is reasonable to believe I have found a way to unify gravity and electromagnetism in a way that has been quantized. Only ordinary math tools are used. The problem is a puzzle to be solved, not a math problem so difficult only a few folks at the Institute for Advanced Study to understand. At the core is the action, shown here, which requires a fun bit of twisting of the potential relative to the real"
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http://Theworld.com/~sweetser/quaternions/video/vi deo.html     video ed     Visit Site
http://visualphysics.org     visual physics org     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/m ath.pdf     pdf     Visit Site
http://www.theworld.com/~sweetser/quaternions/intr o/analysis/analysis.html     quaternion analysis     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/a nalysis.pdf     pdf     Visit Site
http://www.archive.org/download/WhyisQMWeird/Whyis QMWeird.mp4     why quantum mechanics is weird     Visit Site
http://www.theworld.com/~sweetser/quaternions/qema tion/Dynamic_graphs/index.html     dynamic graphs     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/c lassical.pdf     pdf     Visit Site
http://theworld.com/~sweetser/quaternions/ps/GEM_a ction.pdf     pdf     Visit Site
http://theworld.com/~sweetser/quaternions/ps/GEM_s ummary.pdf     pdf     Visit Site
http://theworld.com/~sweetser/quaternions/ps/prece ssion.pdf     pdf     Visit Site
http://theworld.com/~sweetser/quaternions/ps/GEM_d erivation.pdf     pdf     Visit Site
http://theworld.com/~sweetser/quaternions/talks/ge o_plus_4-potentials/geo_plus_4-potentials.html     html     Visit Site
http://theworld.com/~sweetser/quaternions/ps/riddl e.pdf     pdf     Visit Site
http://theworld.com/~sweetser/quaternions/ps/egm8. pdf     pdf     Visit Site
http://theworld.com/~sweetser/quaternions/ps/gener al_em.pdf     pdf     Visit Site
http://theworld.com/~sweetser/quaternions/ps/day1. pdf     pdf     Visit Site
http://www.archive.org/download/lecture_1/lecture_ 1.mp4     video 1     Visit Site
http://www.archive.org/download/lecture_2/lecture_ 2.mp4     video 2     Visit Site
http://theworld.com/~sweetser/quaternions/ps/day2. pdf     pdf     Visit Site
http://www.archive.org/download/TheStandUpPhysicis tLecture3of6/IAP_Lecture_3.mp4     video 3     Visit Site
http://www.archive.org/download/TheStandUpPhysicis tLecture4of6/IAP_Lecture_4.mp4     video 4     Visit Site
http://theworld.com/~sweetser/quaternions/ps/day3. pdf     pdf     Visit Site
http://www.archive.org/download/TheStandUpPhysicis tIAPLecture5of6/IAP_Lecture_5.mp4     video 5     Visit Site
http://www.archive.org/download/TheStandUpPhysicis tIAPLecture6of6/IAP_Lecture_6.mp4     video 6     Visit Site
http://theworld.com/~sweetser/quaternions/talks/Ei nstein_dreams/Einstein_dreams.html     realizing     Visit Site
http://theworld.com/~sweetser/quaternions/ps/e_dre ams.pdf     pdf     Visit Site
http://theworld.com/~sweetser/quaternions/ps/4-pot entials.pdf     pdf     Visit Site
http://theworld.com/~sweetser/quaternions/ps/chain _rule.pdf     pdf     Visit Site
http://theworld.com/~sweetser/quaternions/ps/pictu re_stories.pdf     pdf     Visit Site
http://theworld.com/~sweetser/quaternions/gravity/ em2gem/em2gem.html     deducing a unified field theory from electromagnetism     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/e m2gem.pdf     pdf     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/a nalog.v4.iop.pdf     pdf     Visit Site
http://theworld.com/~sweetser/quaternions/gravity/ essay/essay.html     geometry 4 potential unified field theory     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/e ssay.pdf     pdf     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/u nified_field.pdf     pdf     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/u nified_force.pdf     pdf     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/p oster.pdf     pdf     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/L agrangian_to_tests.nb.pdf     pdf     Visit Site
http://www.theworld.com/~sweetser/quaternions/note books/Lagrangian_to_tests.nb     nb     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/e m.pdf     pdf     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/e m_w_quaternions.pdf     pdf     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/s r.pdf     pdf     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/q m.pdf     pdf     Visit Site
http://www.cafepress.com/quaternions     t shirts     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/b ook.pdf     doing physics with quaternions     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/l ectures.pdf     lectures on dynamic graphs and unified field theory     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/d eavours.pdf     the quaternion calculus     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/s tanfordaiwp79-salamin.pdf     paper     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/c ornellcstr75-245.pdf     paper     Visit Site
http://www.theworld.com/~sweetser/quaternions/ps/S ilberstein-Relativity.pdf     paper     Visit Site