swansont

I’m not sure why it needs to be so contrived. You can redirect photons with an optical fiber, or mirrors/beamsplitters. Photons can pass through each other quite easily. I don’t see why entanglement would necessarily be affected

One issue with the Coriolis force is that if you are standing up, you have a radial velocity and the coriolis force will push you in a perpendicular direction. But it’s only present if you are moving relative to the station

Does 1 + 1 = 2 require the items being counted to be identical? If I have a nickel and a dime, do I not have 2 coins? Even though they are not identical? And we can call cutting in half being equidivided. Is it really your objection that you can create identical spheres, rather than creating 2 of them?

It says a sphere, though - a mathematical structure - and not a ball, i.e. a physical object. And it specifies a solid “Given any two bounded subsets A and B of a Euclidean space in at least three dimensions, both of which have a nonempty interior…” https://en.wikipedia.org/wiki/Banach–Tarski_paradox Because you say so? Because it’s inconvenient? I object cut in half to become 2 objects 1 object = 1 object + 1 object 1 = 1 + 1 1 = 2 I agree it’s invalid, but it’s the same argument

That’s the salient point. The theorem only applies to the mathematical construct and does not apply to a physical object. It’s math, but not physics. Which is why it seems paradoxical - it’s contrary to experience and expectations. (Neo can do it in the Matrix, but not in the real world. There is no spoon)

I don’t see where the OP says anything about low-temperature heat engines, and offering an alternative doesn’t really answer the question being asked. And my comment was in terms of the OP’s proposal: if you try and extract the energy you lower the temperature, making the engine less efficient.

And what happens to heat engine efficiency if you lower the temperature of the hot reservoir?

Nothing has been shown to transpire between the particles.

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No, it does not follow. The paradox does not say 1 ball = 2 balls any more than chopping a ball in half to give you 2 pieces says that 1 = 2.

I missed the “before” The emitted energy is small before the collision. For rotational KE, the mass would be proportional to this, as E/c^2

At 2 GW, it’s a given that one won’t be enough

I wonder, if it’s that diffuse, then how is it better than just putting the solar panels on the ground?

What constitutes “significant” mass? 9 solar masses (GW190521) seems significant to me. Momentum must be conserved, so you can only have KE in the case where the system’s momentum is nonzero. Gravitational waves are massless, so p = E/c, so there isn’t much recoil for any asymmetric waves production.

Just by inspection one can see that the key and cybertext are identical when the plaintext or key is “a” It looks like it is a Vigenere cipher, where A has no shift, B shifts by 1, C by 2, etc. But the hacker wouldn’t know what the shift is for A. That would have to be known when encoding and decoding

So there’s no actual model, or you aren’t willing to share it.

An changing electric field creates a magnetic field, and a changing magnetic field creates an electric field. An EM wave happens when the oscillations induce each other. Photons are the quantized particles of that EM wave.

This being science, there would have to be evidence of that. The evidence that we have is that relativity works exactly as advertised, to pretty high precision. Also, it’s “dilation” No, it literally is. Even though the angle is small, if it was not converging, we would not be able to detect it. Supermassive black holes such as the one at the center of the Milky Way, are of order a thousand times larger than the earth Simple geometry tells you that distance affects the angle.

The quantum vacuum has an energy, and excluding some vacuum states (with conductive plates) means there is less energy The effects are real, but how they are modeled is a computational convenience.

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! Moderator Note Since you have not shown any interest in posting the required information here, as required by the rules, there seems to be no point in continuing

Sorry; I just recall reading about entangling different color photons. If you can arrange it so that energy doesn’t identify the entangled property, or that the energy otherwise doesn’t matter, such as energy-time entanglement, which depends on the photons being created at the same time. “Each of the photons is directed into its own unbalanced Mach-Zehnder interferometer (see figure 3), giving it a long path (L)and a short path (S)to the detectors. Because the path length difference is much longer than the coherence length of the photons, no interference is observed in the single rates at either of the detectors when the phase in, say, one of the long paths is changed. However, there is interference in the coincidence rate between detectors. The reason is that there are two processes that could lead to such a coincidence count-both photons could have taken their respective long paths or both could have taken their respective short paths” http://research.physics.illinois.edu/QI/Photonics/papers/My Collection.Data/PDF/Hyper-Entangled States.pdf

Same energy is not a requirement. Entangled photons can be different colors as long as the entangled parameter is not tied to one energy e.g. if vertical polarization has the higher energy, it won’t be entangled with a photon having horizontal polarization, since you can tell the photons apart.

In the derivation, the point of closest approach (impact parameter) is rewritten in terms of these other variables, since the bending angle and distance are related to it. (All parts of a triangle) https://en.wikipedia.org/wiki/Einstein_radius

Because light passes relatively close to the supermassive black hole at the center.