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Joined 7 months ago
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Cake day: December 9th, 2023

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  • The difference is that aether unraveled pretty quickly when we started seriously looking for it because experiments kept being outright inconsistent with what it was predicted we would see if it were there, whereas there are lots of independent lines of evidence that all point to the dark matter existing in the same page, so it really is not the same situation at all. The only problem with dark matter is that it doesn’t show up in our particle detectors (so far, at least), but there is no law of the universe that says that everything that exists has to.


  • It helps to realize that mass is just a bookkeeping label that we assign to the “internal” energy of a system, where the choice of what counts as being “internal” is somewhat arbitrary and depends on the level we are studying.

    For example, if you measure the mass of the nucleus of some atom, and then compare your measurement to the sums of the masses of the protons and neutrons inside of it, then you will see that the numbers do not agree. The reason for this is that much of the mass of a nucleus is actually the energy of the strong force bonds holding the nucleons together.

    But you can actually drop down another level. It turns out that the vast (~ 99%) majority of the mass in the proton in turn does not come from the quarks but from the energy of the gluon field holding them together.

    And if you drop down yet another level, the quarks get their mass through their interactions with the Highs field.

    So in short, it is energy all the way down.







  • The root of the problem is that you think of momentum as being defined to be the product of something’s mass and its velocity, but this is actually only an approximation that just so happens to work extremely well at our everyday scales; the actual definition of momentum is the spatial frequency of the wave function (which is like a special kind of distribution). Thus, because photons can have a spatial frequency, it follows simply that they therefore can have momentum.

    Something else that likely contributes to your confusion is that you probably think that where something is and how fast it is going are two completely independent things, but again this is actually only an approximation; in actuality there is only one thing, the wave function, which is essentially overloaded to contain information both about position and momentum. Because you cannot pack two independent pieces of information into a single degree of freedom, it is not possible for position and momentum to be perfectly well defined at the same time, which is where the Heisenberg uncertainty principle comes from.





  • If, as you say,

    I’m unconcerned with how it was intended since that’s totally irrelevant to what it actually is.

    Then why did you waste time describing what you believed was the intention behind it earlier when you said,

    I think of it as a rhetorical flourish to emphasize the importance they placed on representing states rather than people.

    Regardless, the other point that I made that you haven’t addressed still stands: they put that prohibition against banning the slave trade in there for a reason, and that reason was presumably not “as a rhetorical flourish”, so either the people who insisted that it be present were horribly incompetent at writing legal language that would preserve their own interests, or your personal opinion as to how Constitutional law works in this case is missing something important.



  • Indeed, the limitation in what can be amended is in practice totally powerless. I think of it as a rhetorical flourish to emphasize the importance they placed on representing states rather than people.

    It isn’t worded as a “rhetorical flourish”; it is worded incredibly clearly and explicitly as a prohibition:

    Provided that no Amendment which may be made prior to the Year One thousand eight hundred and eight shall in any Manner affect the first and fourth Clauses in the Ninth Section of the first Article; and that no State, without its Consent, shall be deprived of its equal Suffrage in the Senate.

    In fact, taking your reasoning a step further: are you likewise arguing that when the prohibition against banning the slave trade prior to 1808 was included here, that it was also understood to be a “rhetorical flourish” with no teeth behind it? If so, then why did they go to so much trouble to put it in? It seems like a lot of wasted effort in that case.