Recent content by itssilva

  1. itssilva

    A Gravitational binding energy and the TOV limit

    That's not what I said at all, and your apparent unwillingness to accept that I am discussing here under the assumption GR is valid is starting to make me suspect you're trying to discredit my viewpoint as naïveté or something. OK, to make sure we're talking about the same devil, let's define...
  2. itssilva

    A Gravitational binding energy and the TOV limit

    @PeterDonis That's a nice overview, there, of the scope of TOV - but still, I would point to the use of the term "relativistic": it expressely refers to the free special-relativistic gas, in spite of a previous post in which you argue that this is justified due to the local Minkowskian character...
  3. itssilva

    A Limits of the classical oscillator

    I believe you're attacking a strawman there: I referred to the first part of my post - the one that does not introduce a driving force; if you have trouble seeing it, just expand ## H, q, E ## in powers of ## \omega ## and kill off those terms higher than first-order: you will get the free...
  4. itssilva

    A Gravitational binding energy and the TOV limit

    The invariance in the problem is enforced by the connection, so we don't need worry about it; as for whether matter couples to the metric (i.e., gravitational potential) or to the curvature (i.e., gravitational field), that can be indicated by other classical models, like - again! - the Maxwell...
  5. itssilva

    A Limits of the classical oscillator

    Well yeah, but what I said was that you get a free particle as the natural frequency of the harmonic osc. goes to zero; as for I don't get it o_O - as you can see from the expression of the energy ## \displaystyle E(q_0,p_0,t) ##, it doesn't go to that of the harmonic osc. in that limit; if you...
  6. itssilva

    A Gravitational binding energy and the TOV limit

    Disclaim: TL;DR No, it isn't my personal idea - it's my question, the reason why I posted this. You do not find suggestions of these possibilities on any of the papers I ref'd - and apparently on any other - simply because none of which I know of seems to have talked about those things...
  7. itssilva

    A Gravitational binding energy and the TOV limit

    My understanding of "free" is irrespective of the specific assumptions of the O-V paper - I'm basing myself on the general scheme of gauge theories as applied to physics. Gravity, like other gauge theories, is an expression of a symmetry of our equations: a "field strength", or "curvature"...
  8. itssilva

    A Gravitational binding energy and the TOV limit

    I'm not saying that it isn't - I'm asking whether it's not valid to ask whether the usual contribution of the gravitational potential (a.k.a. the metric) is incomplete, based on circumstantial evidence (cf. infra) In my understanding, "free" means "uncoupled from", and this applies to all...
  9. itssilva

    A Gravitational binding energy and the TOV limit

    Disclaimer: to avoid giving the impression of speculative nature, I state the purpose of this thread is only to conflate known theory with my own understanding in a specific point and clarify where the disagreement lies; that is all. TOV limit: since early research in black hole (BH) formation...
  10. itssilva

    A Limits of the classical oscillator

    I mean as in a hierarchy: a harmonic oscillator goes to a free particle as the natural frequency ## \omega ## gets arbitrarily small (checks with intuition), but the driven oscillator doesn't go to the harmonic one as either the amplitude ## \lambda ## or the driving frequency ## \omega_d ##...
  11. itssilva

    A Limits of the classical oscillator

    Some time ago I was playing with the oscillator when I noticed a few funny things. Consider first the 1D oscillator with Hamiltonian $$ \displaystyle H(q,p) = \frac{p^2}{2m} + \frac{m\omega^2}{2}q^2$$ whose solutions are $$ q(t) = q_0cos(\omega t) + \frac{p_0}{m\omega}sin(\omega t), p(t) = m...
  12. itssilva

    Non-mushroom-cloud hydrodynamics

    Did you read my previous post? I just would like to make some drawings! But also, your comment is rather misguided: yeah, I suppose every hard sci-fi writer ever made extensive calculations regarding rocket engineering before their pens ever touched the manuscript; that certainly makes for an...
  13. itssilva

    Non-mushroom-cloud hydrodynamics

    This discussion is not 'SciFi" based, the sci-fi aspect was only circumstantial motivation; if I ask a scientific question about the Periodic Table and mention in passing "oh, maybe I'll write a song about it", does it get bumped into the Folk Ballads subsection too? I'm not asking you people...
  14. itssilva

    Non-mushroom-cloud hydrodynamics

    Bah, why did this get moved? I only mentioned "I want to use it in sci-fi", not "this is established sci-fi", as the rules require; if I want, I can talk about Special Relativity in my stories, even though SR is real physics, right? And I think this is also real - I believe nukes have been built...
  15. itssilva

    Non-mushroom-cloud hydrodynamics

    Physicists are prolific children when it comes to playing with their computers, so I wouldn't be surprised at all if someone actually simulated crater formation or fallout hydrodynamics by now; but outta curiosity, on the former, have you ever seen some instance of non-circular crater in some...
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