Recent content by Paul Colby
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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.- Paul Colby
- Post #108
- Forum: Quantum Interpretations and Foundations
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Graduate How many interpretations of QM do you speak?
My fluency hovers somewhere between 0.5 and 0.75 Copenhagen Interpretations.- Paul Colby
- Post #52
- Forum: Quantum Interpretations and Foundations
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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.- Paul Colby
- Post #4
- Forum: Mechanical Engineering
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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...- Paul Colby
- Post #10
- Forum: Quantum Physics
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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}##.- Paul Colby
- Post #9
- Forum: Mechanics
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How do atoms build thoughts and emotions?
This is an excellent question which is why I have the best free will money can buy.- Paul Colby
- Post #113
- Forum: Biology and Medical
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How do atoms build thoughts and emotions?
In physics, all theories are quantitative and formulated in terms of mathematics.- Paul Colby
- Post #42
- Forum: Biology and Medical
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How do atoms build thoughts and emotions?
I was going to say one bond at a time but…- Paul Colby
- Post #3
- Forum: Biology and Medical
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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...- Paul Colby
- Post #15
- Forum: High Energy, Nuclear, Particle Physics
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Help implementing LQR on rotary inverted Pendulum
What is the intended behavior of your hardware? For example, is it to balance? Cancel tipping motion?- Paul Colby
- Post #2
- Forum: Mechanical Engineering
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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.- Paul Colby
- Post #6
- Forum: Special and General Relativity
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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.- Paul Colby
- Post #4
- Forum: Differential Geometry
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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.- Paul Colby
- Post #56
- Forum: Quantum Interpretations and Foundations
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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...- Paul Colby
- Post #39
- Forum: Quantum Interpretations and Foundations
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Undergrad Are classical optics and quantum mechanics double slit experiments fundamentally the same?
What is “it” in terms of currently accepted theory?- Paul Colby
- Post #34
- Forum: Quantum Interpretations and Foundations