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...
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.
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.
When two blackholes collide to one, in some time in a merging process are there two singular points within a merged blackhole?
PS
In time reverse one black hole spit into two blackholes. It seems prohibited so such a BH merging should be an irreversible process.
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...
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...
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.
Mass is defined as energy measured in COM frame of reference where total momentum is zero. If such COM system does not exist, there is no defined mass but energy, e.g. a photon.
An electron and a positron pair, we may say they are matter, is generated from two photons. These photons have...
Say ##I_A## is current through A
I_A=I_D
I_B+I_O=I_A+I_C
where ##I_O## is current through wire parallel to B with no lamp.
I_O >> I_B
because of scarce resistance of wire.
The law of entropy increase in statisc or thermal mechanics would work here. The ordered spins of molecules tend to be randomized which leads zero magnetic field. The ordered motion of charges e.g. electric currents in wire would be dissipated which also leads to zero magnetic field.
Not for answering your question but for showing extraordinary of relativity, say you switch on flashlight. Light goes everywhere to make a sphere light sphere expanding with speed constant c. You observe it sphere. Your brother driving a car also observe it a sphere shape.
How is it...
Hello.
As you deduce no shrink takes place on the arms of interferometer that stays still in our IFR.
Lorentz hypothesized that light speed along the arm change in go and return. In order to meet his hypothesis and the result of no interferometry he has to conclude that the arm shrinks. But...
By author's definition
\int \int p(E_j,E_k)\delta(E-E_j-E_k)dE_jdE_k = \int p(E_j,E-E_j)dE_j=1
By your defnition
\int \int p(E_j,E_k)dE_jdE_k = \int \frac{Numerator(E_j,E-E_j)}{Denominator}dE_j=1
So it depends on how the normalization is defined.
Your last formula with the relation
E=E_j+E_k
says
LHS: spherical shell in 3N dimension p-space
RHS: spherical shell in 3N_j dimension * spherical shell in N_k dimension, p-spaces
RHS is cut of sherical shell in two sub spaces.
so RHS should be integrated to be right one wrt LHS as...
If magnets gather in a place with same NS direction, their magnetic flux enhances to produce larger magnet.
If magnets gather in a place with random NS direction, their magnetic flux kill each other to show zero magnetic field in total.
If you pull gut of violin or guitar tighter so with higher tension the scratch sound gets higher pitch so higher frequency. Period T is inverse of its frequency f, T=1/f.
\vE¯∥=\vE∥,\vE¯⊥=γ(\vE⊥+\vv×\vB⊥)I am sorry to say my post #1 was wrong.
Electric fields and magnetic fields from electromagnetic tensor comes from
E_{i}=cF_{0i},\ B_i=-\frac{1}{2}\epsilon_{ijk}F^{jk}
I wonder whether it is same as your formula in post #1 and what are ##E^0## and ##B^0##?