Where do the Christoffel symbols come from?
- They are guessed at random
- They fall from the sky
- From the metric
How do you compare vectors at different points?
- Overlap them by eye
- Carry one with the rule
- Vectors can never be compared
A geodesic parallel-transports its own tangent.
Circle one: True False
What does the geodesic equation describe?
- A rocket firing its engines
- A free-fall path
- A path that stops at once
Why is the plain component change not enough for a derivative?
- The basis changes too
- Components never change anywhere
- Derivatives are banned in curves
What are the pieces of the geodesic equation?
- Two unrelated constants
- Only the metric alone
- Corrected acceleration
A friend calls any straight-looking coordinate line a geodesic. What is missing?
- Lines must look curvy instead
- It must carry its tangent
- Coordinates decide everything
A freely falling capsule feels no force yet follows a curve in coordinates. Explain.
- Free fall on a geodesic
- An invisible rope pulls it
- Coordinates push all capsules
Carrying arrows on curved ground W1-mt_bUEL2R91Vy-s1
- From the metric · Metric in, symbols out.
- Carry one with the rule · Comparison needs carrying first.
- True · That carrying is the definition.
- A free-fall path · Geodesic equals free fall.
- The basis changes too · Two things change: components and basis.
- Corrected acceleration · Acceleration corrected by the symbols.
- It must carry its tangent · Looks deceive; the equation decides.
- Free fall on a geodesic · Curved coordinates, straightest path.