done
|
next
Unifying Gravity and EM by Analogies to EM: Day 1, Lagrange Densities
a
WimpyPoint
presentation owned by
Douglas Sweetser
Outline for Lectures
Outline for Day 1
Required Skills
(Title) Information Structure
The Big Picture: A 4D Slinky
Must Do Physics
Must Do: Gravity
Must Do: EM
Must Do: Quantum Mechanics
Must Do: Experimental Tests
Will Not Be Doing
Tensors
Simple tensors
Covariant Versus Contravariant
Going from Covariant to Contravariant
Einstein's Summation Convention
Symmetric versus Antisymmetric Tensors
Derivatives in Flat, Euclidean Spacetime
Covariant Derivatives in Curved Spacetime
Summary: Tensors
Units
Basic Units
Units for Conversion Factors
Units for Spacetime
Units for Potentials, Fields, & Charges
Units in Action: Lagrange Density
Units in Action: Euler-Lagrange Equations
Units in Action: Momentum
Units in Action: Relativistic Force
Summary: Units
Lagrange Densities
EM Lagrange Density
EM to Gravity Analogy
Gravity Lagrange Density Hypothesis
GEM Lagrange Density
GEM Lagrange Density in Detail (1/3)
GEM Lagrange Density in Detail (2/3)
GEM Lagrange Density in Detail (3/3)
Summary: Lagrange Densities
Summary Equations (1/2)
Summary Equations (2/2)
Summary Pictures (1/2)
Summary Pictures (2/2)
sweetser@alum.mit.edu
change style