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Doing Physics with Quaternions
This is just a sample of the content found on this website. Please visit the website to read the entire page.
"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"
....
read entire page
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