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of this site! (I prefer it :-) |
(.ps)(.pdf)(ftp
.ps)
Doing
the work of the Lorentz group with rotations and dilations
An alternative algebra
for boosts
Problem set questions and solutions from MIT's 8.033, Classical and
Relativistic Mechanics
Index and links to solved problems
PS 1: Kinematic effects of relativity
PS 2: More kinematic effects
PS 3: The Lorentz transformation
and the addition of velocities
PS 4: The Doppler effect, 4- vector
invariants, and the twin paradox
PS 5: Energy, Mass and Momentum
PS 6: The Compton effect and threshold
collision problems
(.ps)(.pdf)(ftp
.ps)
Classical electrodynamics
Electromagnetic field gauges
The Maxwell equations in the light
gauge: QED?
The Lorentz force
The stress-energy-momentum 2-tensor
of the electromagnetic field
(.ps)(.pdf)(ftp
.ps)
Bracket notation & quaternions:
quaternions as a complete inner product space
Multiplying polar representations (without Campbell-Hausdorff!)
Commutators and the
uncertainty principle
Unifying the representations of spin and angular momentum
The Schrödinger
equation
The Klein-Gordon
equation
Time reversal
(.ps)(.pdf)(ftp
.ps)
An area of active researchquaternions.(translation: some of this stuff may be off
the mark, but interesting :-)
Einstein's vision: unifying
gravity and electromagnetism (.ps)(.pdf)(ftp
.ps)
A more mature working draft is available
here
This has for example the force equations that predict equations of motion
that can be rearranged into a dynamic approximation of the Schwarzschild
metric of general relativity. There is also an explanation of the mass
distribution and rotation profiles of spiral galaxies without using
dark matter!
Strings and Relativistic Quantum Gravity
A slide presentation of string ideas, small movies, little math
Answering prima
facie questions in quantum gravity using quaternions (post to s.p.r)
The length of a quaternion
in curved spacetime: a close relative of the affine parameter of general
relativity
General metrics
Gravitational redshift
experiments
A summary of physics
equations written as quaternions
Conclusions
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