Recent content by mitochan

  1. mitochan

    I Is it a fact that vacuum energy exists?

    I found an article with names of contributors and a curator on cosmological constant in scholarpedia which is referring vacuum energy. A layman like me could read it though far from full understanding. Is such an article worth passing your threshold of reference ?
  2. mitochan

    I A problem with the solution to the ladder paradox

    May I interpret you as one of the sketches attached ? The string will not be broken when the doors move in a synchronized way, i.e. the two door operators do the same procedure watching their clocks one at the front wall and the other on the back wall of the barn. Of course the two clocks...
  3. mitochan

    I The Universe filled with a "homogeneous perfect fluid"

    You may be able to regard matter and radiation fill the universe though they are not homogeneous. For an example the space is filled with cosmic background photons. quantum field of particles extends to all the universe.
  4. mitochan

    Integral of 1 / (x^2 + 2) dx ?

    Then \int \frac{dx}{x^2+2}= \frac{1}{\sqrt{2}}\int\frac{d\frac{x}{\sqrt{2}}}{(\frac{x}{\sqrt{2}})^2+1}=...
  5. mitochan

    Integral of 1 / (x^2 + 2) dx ?

    Please take a look at attached calculation.
  6. mitochan

    I Black hole inside of a black hole.... can it be done?

    The primitive deduction, A BH as well as an ordinary body has a timelike line in our spacetime. The center of BH has its timelike line also. The singularity of BH lies in its center. Thus singularity of BH is on a timelike line would have one or more errors that I cannot point them out clearly.
  7. mitochan

    I Black hole inside of a black hole.... can it be done?

    I draw a sketch for better understanding at attached.
  8. mitochan

    Determining if series converges or diverges

    An orthodox way is to investigate |\frac{a_{n+1}}{a_n}| is greater or less than 1.
  9. mitochan

    Integral of 1 / (x^2 + 2) dx ?

    If you can integrate \int \frac{1}{x^2+1} dx you are not far from the answer.
  10. mitochan

    I Black hole inside of a black hole.... can it be done?

    When two black holes collide to one, in some time in a merging process are there two singular points within a merged black hole? PS In time reverse one black hole spit into two black holes. It seems prohibited so such a BH merging should be an irreversible process.
  11. mitochan

    B Cosmological Red Shift in a Perfectly Reflecting Box

    Say the box has side lengths a,b and c. QM says energy states of photon are E_{mnl}=\frac{\hbar^2}{4}\{\frac{m^2}{a^2}+\frac{n^2}{b^2} +\frac{l^2}{c^2}\} This holds for adiabatic change of a,b and c. Whether the box undertakes change of perimeters depends on the conditions of box we set. In...
  12. mitochan

    I If gravity is not a force, what is holding us down?

    Say a ball falls and bounce back from the floor to make a reverse motion. Falling ball is along a geodesic and the going up ball is along another geodesic because momentum is given from the floor and free motion is interrupted then. This shows that reverse motion is not going backward along...
  13. mitochan

    I If gravity is not a force, what is holding us down?

    Not one way, reverse process is possible. Say you throw a ball upward, it goes slower, stops at the top, goes down faster and comes back to your hand. All through the trajectory is geodesic and called free fall even when it is going upward, or called, more properly I think, in free motion.
  14. mitochan

    I If energy is relative, is the rest mass also relative?

    Because we have convention that mass is energy measured in a special frame of reference called COM frame of reference.
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