Recent content by Orodruin

  1. Orodruin

    A How do we interpret measurements of Mercury's position?

    Actually, ##t## doesn't matter either - you do not need to measure it. All that matters is the value of ##\phi## at the perihelion of consecutive orbits.
  2. Orodruin

    A Dirac comment on tensor densities (Dirac GTR, p. 37)

    If the domain is small enough for curvature to be negligible, then - locally - as always, you have Minkowski space and the above applies.
  3. Orodruin

    B Big Crunch in an infinity, symmetrical, Newtonian universe?

    Not consistently. The shell theorem essentially relies on being able to pick a potential that is zero at infinity. Unfortunately, this is incompatible with an infinite constant density (as you have shown here). Considering the Newtonian gravitational potential such that $$ \nabla^2 \phi = 4\pi...
  4. Orodruin

    A Dirac comment on tensor densities (Dirac GTR, p. 37)

    So the first thing you should ask yourself is: "Does the expression make sense at all?" What does $$ \int T^{\mu\nu} \sqrt{-g}\, d^4x $$ actually mean? In essence, you are adding together tensor components from different parts of your spacetime and this generally holds no particular meaning. The...
  5. Orodruin

    Blowing Into Your Own Sail

    Never trust ”experts” on Brainly, Quora, etc etc
  6. Orodruin

    Ratio of frequency between heavier and lighter part of composite cord

    Yes, the frequencies must be the same. The speed of the waves and the wavelengths will differ.
  7. Orodruin

    Blowing Into Your Own Sail

    The fan accelerates the air from essentially standstill to some velocity. The sail reflects the air from that velocity to some velocity in the back direction. What is the net momentum change of the air? Is whatever velocity the air had between fan and sail even relevant?
  8. Orodruin

    Blowing Into Your Own Sail

    Newton’s third law does not apply to the latter part. The forces you are talking about do not form a third law pair. The third law partner of the force of the air on the sail is the force from the sail on the air.
  9. Orodruin

    Today I Learned

  10. Orodruin

    Today I Learned

    Not if you comply with ISO standard. 2024-04-24
  11. Orodruin

    I Neutrinos and theoretical necessity

    Your question seems to have been answered. If not you need a better defined question.
  12. Orodruin

    I Neutrinos and theoretical necessity

    This is not a theory confirmed by experiment. As I have already mentioned, whether the lightest neutrino is massless or not is still unknown.
  13. Orodruin

    I Neutrinos and theoretical necessity

    Neutrinos are the second most abundant (known) particle in the Universe. I would hardly classify that as ”near non-existance” …
  14. Orodruin

    I Neutrinos and theoretical necessity

    Apart from the original introduction by Pauli (which was needed for momentum/energy conservation as mentioned, but at least as importantly for angular momentum conservation), there are also many arguments in hindsight. For example, without the neutrino the electron could not interact at all via...
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