Recent content by aabottom

Excellent article! This clarifies my recent realization that at least some parts of "quantum mechanics weirdness" stems from No-Preferred-Reference-Frame (NPRF). E.g., quantum entanglement of two spin particles is no more weird than two clocks (moving relative to each other) ticking at different...

Thanks for posting. An error, perhaps, and a question, I extend. 1] In the 3rd equation right hand side, the first term should be $$R~tan(\theta)$$ and NOT $$v_0~R~tan(\theta) ~.$$ 2] In Method 2, should your definitions of ##\alpha## be $$sin(\alpha) = \frac{h}{R'} , where $$ $$R' =...

I like simple. I like understanding the general, then reduce it to a specific case. I elect Option 3, the law of energy conservation. With that understanding, we can clearly see when Mechanical Energy Conservation (MEC) applies OR not. Thank you for these Insights.

If the filter has high transmission at the laser wavelength and lower transmission at other wavelengths, then yes. The filter will increase the signal to noise ratio of the detected radiation. Unless, of course, if the laser detector already has a narrow band filter, then adding another one has...

Yes, I have done research in optical/ infrared sparse aperture imaging systems. When the pupil plane data is transformed to the focal plane, the results can be considered a reconstructed image.

Yes, thank you. I know this. The term Photo is just poetic license for the photons at 1.33 mm wavelength (that is 230.6 GHz) of the radio telescope. The image is a radio-graphic image, one might say. To avoid confusing people, I should stop using the term photo when referring to the M87 black...

Rob Jeffries offers a better explanation of Figure 5 in paper #5. [4] [4] Why isn't the circumferential light around the M87 black hole's event horizon symmetric? https://physics.stackexchange.com/questions/471753/why-isnt-the-circumferential-light-around-the-m87-black-holes-event-horizon-sy

I have some follow up questions. A. Do the angular momentum (spin) vectors change with time? These photos of M87 seem to indicate different directions of the ejection jets. [3] If so, on what time scale- minutes, days, years? Maybe the photos are displayed in different orientations. [3]...

M87 Black Hole Photos and the Orientations the Angular Momentum of the Black Hole and that of the Accretion Disk. I’m trying to understand the orientations the angular momentum (let’s call it spin) of the black hole and that of the accretion disk. Veritasium has good video on the topic [1], but...

This is a very good explanation of what the black hole image shows.

Full size 7416x4320 tiff (182.4 MB) available here: https://www.eso.org/public/images/eso1907a/

A sort of hand waving treatment in Yariv, Quantum Electronics. https://books.google.com/books/about/Quantum_electronics.html?id=UTWg1VIkNuMC

When I took integral 5 hour calculus, I had 3 days between exams until the one for integral calculus. I re-did every assigned problem in the 3 days before the exam. I aced the exam, but my brain was frying when I came out. Your choices: 1) Do all the problems. 2) Solve the problems in general...

1) Flatland: A Romance of Many Dimensions is a satirical novella by the English schoolmaster Edwin Abbott Abbott, first published in 1884 by Seeley & Co. of London. Very interesting thought provoking historical novel that illustrates creation of higher dimensions. 2) Hyperspace: Our Final...

SemM I'm late to the game, but I the found fresh_42 article, "Hilbert Spaces and Their Relatives" [1], to be very informative. In that article, fresh_42 outlines the difference between Hilbert spaces and Banach spaces and other spaces. He also has a flow chart of spaces that outlines their...