Recent content by Paul Colby

  1. Paul Colby

    Graduate How many interpretations of QM do you speak?

    While this is true, my understanding is that representation theory yields just a solution of the reps field equations. The corresponding ladder operators require more work.
  2. Paul Colby

    Graduate How many interpretations of QM do you speak?

    My fluency hovers somewhere between 0.5 and 0.75 Copenhagen Interpretations.
  3. Paul Colby

    Help implementing LQR on rotary inverted Pendulum

    Typically people use feedback to solve such problems. This doesn’t require an accurate model of motion. All that’s needed is a measurement of the error and a response function.
  4. Paul Colby

    Undergrad How do bar detectors work in gravitational wave detectors?

    There is a coordinate system, referred to as the TT gauge, that I find makes visualization of bar detectors easier. Think of an isolated atom, a point mass. As the GW passes, the atom follows a geodesic. In the TT gauge, an atom at rest stays at rest. It’s X, Y and Z TT-coordinates don’t change...
  5. Paul Colby

    Graduate Momentum vs inertia

    Also, for Ohms law, current flowing through a resistor dissipates energy in the form of heat. For Newton, force goes into kinetic energy. This process is reversible. A closer mechanical analogy would be a loss term ##F=-\alpha \frac{dx}{dt}##.
  6. Paul Colby

    How do atoms build thoughts and emotions?

    This is an excellent question which is why I have the best free will money can buy.
  7. Paul Colby

    How do atoms build thoughts and emotions?

    In physics, all theories are quantitative and formulated in terms of mathematics.
  8. Paul Colby

    How do atoms build thoughts and emotions?

    I was going to say one bond at a time but…
  9. Paul Colby

    Undergrad LZ sees one event that is a dark matter candidate

    FWIW this AI description matches what I was able to pull from the detector description in the paper. The Xe gives off light if a Xe nuclei collides with something. The entire Xe detector is surrounded by other detectors that reject backgrounds like neutrons and charged particles from the data...
  10. Paul Colby

    Help implementing LQR on rotary inverted Pendulum

    What is the intended behavior of your hardware? For example, is it to balance? Cancel tipping motion?
  11. Paul Colby

    Undergrad Was Richard Feynman's explanation of the twin paradox wrong?

    The two twins follow two different paths. One twins path proper length is shorter. As setup, the shorter path twin must accelerate to get on this shorter length path. The shorter path length isn’t shorter because it takes acceleration for the twin to change to it. It’s shorter because it’s shorter.
  12. Paul Colby

    Graduate Best visualization of SO(3)

    Visualize as a manifold seems to be all you consider. There’s the algebraic aspect of ##SO(3)## as well.
  13. Paul Colby

    Undergrad Are classical optics and quantum mechanics double slit experiments fundamentally the same?

    Given your original question concerning photons and the double slit experiment, how have your views changed? The experiment showed that the interference pattern persists even with a significant path length change in one of the two paths.
  14. Paul Colby

    Undergrad Are classical optics and quantum mechanics double slit experiments fundamentally the same?

    Interference patterns happen for multiple “it”s, right? From post #5 “it” was water waves, sound waves or EM waves. “It” could also be particle beams of various flavors. Each of these physical systems are quite different yet exhibit similar wave phenomena. In post #1, two expressions, one from...