Search Results

Is important to realize time dilation and the Doppler effect are 2 frame-dependent parts of a single relativistic phenomenon: the constancy of the magnitude of four-velocity (which is always ||c||). R …

The key phrase is "dynamics"...in "Galilean dynamics". If there is no absolute rest frame....pick a point: the origin: $p_0=(0, 0, 0)$ at $t=0$. Then at $t=\epsilon$, different rest frames associate t …

I'd say you're overthinking it, for example: what is the point of $S$? I'm just going to set $S=S'$ and write coordinates in $S$ as (t, x). The particle's world line is ($c=1$): $$ p_0(t) = (t, 1) $$ …

He sees A who then says, "You're late"....their two right angle paths do not meet at the same point in spacetime. …

So each clock moved radially outward 100 meters, and forward in time 46 years, but the spacetime locations of their endpoints differ by one second. …

Whether the force is Coriolis or centrifugal, or if the planet accelerates radially is frame dependent. For mass $m$ planet revolving at speed $v$ in a radius of $R$: In an inertial frame, there are n …

Using $\Delta$anything is going to increase confusion. Relativity is about measuring the same events in different coordinates. So for light propagating a distance $L$, you have 2 events: Emission (Tx) …

I think this is an unclear way to look at. Since, based on the equation, you are comparing 2 time differences among 3 events. Let's say the 1st even is the start. In the rest frame ($S$): $$E_0=(ct=0, …

This is a simple answer: I would view this in the same light as the following question: Does $$ {\bf \nabla \cdot E} = \frac{\rho}{\epsilon_0} $$ imply zero electric field in region with no charge den …

The statement "There is no paradox" is false. A paradox is not a contradiction, it is an apparent contradiction, and there is always an apparent contradiction in the twin paradox when we use our non-r …

According to Einstein, you are moving--in Spacetime--yes, you are moving forward in time with speed ||c||--and thanks to the Earth's mass, the straight path forward actually curves downward at 1g. … The surface on which you stand applies a force (per unit mass) of 1g upward that continuously pushes you off this spacetime-straight line--you feel this as gravity pulling you in the opposite direction …

It looks like a neutral net: It should be random on the largest scale, but there is clearly structure from dynamic interactions on large scales. You really can't say what it would look if it looked l …

A single event is just $(t_0,x_0)$ in one frame and $(t_0',x_0')$ in another, so there's not much to be said. You're really asking about the simultaneity of two events, which is of course, relative. I …

A photon (or classical plane wave) moves through spacetime at $c$ for all observers, period. …

If want to be successful in solving SR problems, clarity is paramount. So first: define reference frames. $S$ is "stationary", and $S'$ is moving, and their origins are of course the same. Then you ha …