blackboard pix
link to resources link to students links to gr-qc link to courses link to publications
spacetime diagram

Spacetime and the Quantum World

Fall 2025

"... until at last it came to me that time was suspect!" - A. Einstein (Shankland interview 1950)

"... the concept of time is nothing more than a convenient, although potentially treacherous, device for summarizing compactly all the relationships holding between clocks." - N. D. Mermin It's About Time, pg. 63

"... be prepared to give up every preconceived notion, follow humbly wherever and to whatever abysses nature leads, or you shall learn nothing." - T. Huxley (letter to Kingsley 23 Sept. 1860)

Instructor: Seth Major, smajor, x4919, Sci G052

Office Hours:
After each class and Thursdays 2:00 - 5:00 PM.

Lectures: Tuesday and Thursday at 10:30-11:45 AM in Sci Ctr G041
 
Texts: Mermin, It's About Time
  Styer, The Strange World of Quantum Mechanics

 

News:

Guide 4 is now posted. It is due October 30.

Quiz I is October 23. (If you haven't taken it yet!)

Course Info and Documents (pdf):

Course Syllabus
Questions from lecture
Summary of key results v1.0
For Quiz 1 practice questions with hints (pdf)

Guides (pdf):

 

Guide 1 (solutions)
Guide 2 (solutions)
Guide 3
Guide 4

Links for exploring:

These are identifed by topic: "SR" means special relativity, "GR" means general relativity, and "QM" means on the quantum world.

Quantum World

Relativity:

  • GR: Notes on the derivation of the gravitational time dilation.
  • GR: A short popular science piece on the equivalence principle.
  • GR: A Hubble space telescope image of Abell 2218.
  • GR: A wired article about the stunning visualizations of black holes in Interstellar. The visualization work was published in 2015. The video abstract is worth a view.
  • GR: A NASA visualization of an accretion disk around a black hole.
  • GR: A snap (pdf) of the first image of a black hole illuminated by a disk of glowing matter, which was computed by Luminet in 1979 (!). (Ref: Astron. Astrophys. 75 (1979) 228.)
  • GR: Andrew Hamilton's amazing videos on black holes.
  • GR: Videos and graphics produced for GW250114.
  • An overtone example: the Pummerin ringing in Stephansdom (short video).
  • GR: A piece by Dennis Overbye on the second image of M87 by the Event Horizon Telescope. The newly released image is on the top right of the page.
  • SR: An extensive summary of papers on experimental verification of special relativity.
  • SR: Beautiful animations of the apparent geometry of relativistic moving objects. The dice and the ride down Marktgasse in Tuebingen are particularly good. Note, however, that redshift is not accounted for.
  • SR: Notes on the "Happy Birthday Alice" question, number 33 on the lecture questions.
  • SR: Pictures of Berne's Clock Tower in early 1900's and 2005
  • SR: The homepage for the Sloan Digital Sky Survey database (example spectrum and example 2)
  • SR: The electromagnetic spectrum. An old video on the electromagnetic spectrum primarily for children, but still helpful.
  • SR: Simple animations on special relativity at NYU.
  • Notes (pdf) for the derivation of length contraction.
  • SR: On Wikipedia, a quote of the "Galileo's ship" passage from Dialogue Concerning the Two Chief World Systems
  • SR: A translation of "Electrodynamics of Moving Bodies", Einstein's original 1905 paper on special relativity. Here's a pdf (1.9 MB) of the original article in German pubished in Annalen der Physik.
  • A video with a description of the Hamilton speed of light experiment. (This version is from a little while ago.)
  • SR: For a little more on Ole Roemer's determination of the speed of light see the wikipedia article.
  • SR: From the United States Naval Observatory, the UTC reference time.
  • SR: A video highlighting the use reference frames in the Olympic coverage of the men's 200 meter event. See also the race at the London 2012 games. The interesting bit starts at about 3:30.

History

  • SR: An online exhibit on Einstein hosted by American Insitute of Physics.

Additional Reading

  • SR: Dan Styer, Relativity for the Questioning Mind
  • SR and Einstein: Dennis Overbye, Einstein in Love (A ``1st half" biography of Einstein. It ends in 1915.)
  • SR and Einstein: Abraham Pais, Subtle is the Lord (A full biography of Einstein that has a careful treatment of the science.)
  • QM: Louisa Gilder, The Age of Entanglement

Last modified 15 October 2025
link to Seth's Net Home link to Department of Physics link to archives link to gr-qc link to gr-qc/new link to archive form