Unifying Gravity and EM by Analogies to EM: Day 1, Lagrange Densities

• 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)