Recent content by Invutil

There is time dilation so time runs slower for somebody. But to them it will appear others are faster, or else you make it really absurd and say "everything is possible, ooh, quantum observers," (many world's interpretation) and it seems to me it is that direction of thought that has been...

The points in the post Shining light beam back -- relativity still can't be answered. It seems there should be a slowdown of time at all levels of physics for objects moving in a certain direction so that if it is compared to light, it will always be c. This would lead to weird chemistry though...

I've shown the contradictions in that kind of reasoning above. And it seems there is some uncertainty about the de Sitter binary star experiment.

If light is emitted with its own speed, like sound waves, it seems like light is then in an aether that is at rest with relation to the local universe. Now I think I have to dig around in the Michelson-Morley and de Sitter experiments. I was considering measuring the speed of light as it...

Couldn't all of the interferometer experiments results be explained if we assumed the emitter inertia passed on to the lightwave/photons and so we would not see any sideways fringe or forward change in the speed of light? And is Doppler shift from the stars not exactly the speed of light...

Does the direction/vector of velocity matter? If the other side is moving closer, into the shining light, it would seem they are traveling by 1c + 0.9c or (1c + 0.9c)/(1 + 0.9c * 1c / c^2) = 1c, so their perceived time rate looking at the outside world would have to increase so the light seems...

I was trying to find arc length given an x or y of a unit length circle (full arc happens to be 2π so arc length corresponds to angle in radians). This is how asin etc work "under the hood" in calculators and computers. I needed the exact method instead of the floating point implementation...

I really appreciate your help. Here is what I was looking for: Find: asin(o) = Φ Given: o o = yf xf = √(1 - yf2) 0≤Φ≤π/2 x0 = 1 y0 = 0 Then: lim n→∞ ( Σi=1n ( √( (xi - xi-1)2 + (yi - yi-1)2 ) ) ) y(i) = y0 + yfi/n x(i) = √( 1 - y(i)2 )

I think I remembered, to state asin/acos/atan as an approach to the arc (part of circumference) length formed by the triangle, so all that's needed is to set up those triangles touching the perimeter and approaching the arc length exactly as the measuring intervals become smaller and approach...

I get that works from the general idea of interferometer experiments, which by 1947 showed to an error of +-4 km (within the bounds of Earth's rotation speed around the sun at 30 km/s) that light speed is unaffected by direction or motion, and from the airplane cesium clock experiments. But if...

According to the textbook, "In this case, you (A) and Jackie (B) no longer agree about her speed _relative_ to the speed of the light beam. She'll see the light beam pass by her at the speed of light, c, but you'll see it going only 0.1c faster than she is going." Illustration here, under "The...

Given a unit-hypotenuse triangle, how do we get the inverse sin/cos/tan equations? I'm trying to program a high-precision fixed-fraction model of the sun and Earth and I've forgotten how the equations are derived. I know there's differentiation and integration. And I'm stuck on how to express...

I guess I'm dealing with planetary scales so radius comes into effect. Is there a formula I can use? Is there anything special that happens at negative radius, like, a Kerr black hole, using a Newtonian equation? Would the constant-acceleration formula generally be correct, as it is a Taylor...

I'm just plotting gravity free-fall. r = (x2 - x) for x2 > x where x2 is the coordinate of mass 2 Is this correct? x(t) = x0 + int from {0} to {t} ( v0 t + 1/2 a0 t^2 + int from {0} to {t} ( 1/2 t^2 da/dt ) dt ) dt a0 = F/m1 a0 = G m2 / r0^2 r0 = (x2 - x0) x(t) = x0 + int from {0} to {t} (...

Is this the correct plot of gravity and motion? x(t) = x0 + v0 t + 1/2 a t^2 F = G m1 m2 / r^2 x(t) = x0 + v0 t + t^2 / (x2 - x(t))^2