How Fast Is It - Chapter 5 - General Relativity II - Tests (4k)
Channel: David Butler
Date: 2023-04-21

4:25 Error in the metric spacetime interval in polar coordinates. Should be sin(theta) instead of cos(theta).
text - https://howfarawayisit.com/wp-content/uploads/2023/04/General-Relativeity-II-Tests-1.pdf
Credits -  http://howfarawayisit.com/wp-content/uploads/2013/05/Credits-and-Research.pdf
In this segment of the “How Fast Is It” video book, we cover the effects of general relativity and how they differ from what Newton’s gravity predicts. Our first effect is the orbit of Mercury that precesses more than Newtonian gravity predicts. To understand the non-Euclidian space that Mercury orbits in, we introduce the Schwarzschild metric and compare it to the Minkowski metric for flat space-time. We illustrate the positive curvature around the Sun using concentric circles with shrinking circumferences. We then show how this slight difference in curvature produces additional movement in the precessing perihelion of Mercury’s orbit that exactly fits the measured number. Our next effect is the bending of light. We cover Arthur Eddington’s famous measurement during a total eclipse of the Sun and show how the amount of starlight bending matched Einstein’s calculations better than Newton’s. We extend this bending effect to show how Einstein Rings and gravitational lensing work. And we show how this effect tips over light cones and changes world-lines. Our third effect is gravitational time dilation. We show how it works and cover how our GPS uses it. We also cover the Pound-Rebka experiment used the Mossbauer Effect to showed how this time dilation impacts gravitational redshift. We also illustrate how this effect resolves the Twin Paradox we introduced in the Special Relativity segment.

Music 

@01:17  Mozart - Flute Concerto No. 2 in D Major: Kurt Berger, Vienna Mozart Ens; from the album “50 Must-Have Adagios Masterpieces” 2013

@12:03  Grieg - Holberg Suite, Sarabande (Andante): Gothenburg Symphony Orchestra; from the album “For the Hopeless Romantic” 2005

@19:47  Korsakov - Capriccio Espagnol: Royal Philharmonic Orchestra; from the album “Rimsky-Korsakov: Scheherazade”  2009