Two aspects of the velocity addition formula for special relativity will be reviewed. The first is its derivation and the second its functionality and consistency. We will bring two arguments that prove the unsustainable derivation of velocity addition formula and three other arguments that will show...
It's also related to the fact that the "addition of velocities" is not a commutative operation. That's also discussed on the Wikipedia page: https://en.wikipedia.org/wiki/Velocity-addition_formula#Special_relativity Likes etotheipi and Sagittarius A-Star Apr...
摘要: In the special theory of relativity, there is an unusual formula for addition of velocities. We will use this formula to generate Pythagorean triples. We define a Pythagorean triple in the usual manner as a triple of positive integers (a, b, c) such that a(2) + b(2) = c(2)...
If I try to do that using the definitions I have above it means calculating γu for a light ray. That's undefined. I have a 3-vector version of the velocity addition formula that doesn't require such a calculation and it works fine. Did I get the 4-vector structure wrong? Physics n...
Thepackage includes functionality for four-vector transformations, three-velocityaddition, and other relativistic processes such as the behaviour of photons. Itwas designed to facilitate the search for a gyrodistributive law. In specialrelativity, three-velocities and scalars constitute a gyrovector space...
Involving the special relativity via its two postulates and the time dilation formula we derive the relativistic velocity addition law showing that it leads to the Lorentz transformations for the space-time coordinates of the same event.doi:10.1111/j.1474-919X.1900.tb00751.xBernhard Rothenstein...
It provides a detailed derivation of the relativistic addition law of parallel velocities without prior knowledge of Lorentz transformations. It notes that the derivation involves special relativity via the time dilation effect formula.Rothenstein
One consequence of the new theories is that the standard special relativity formula for the addition of relative velocities also applies for velocities in excess of the speed of light. The new theories are based on the assumption that for any two inertial frames separated by an infinite relative...
The Lorentz Transformation of relative velocity is a mathematical formula used in special relativity to calculate the velocity of an object in one frame of reference as observed from another frame of reference that is moving at a constant velocity relative to the first frame.2...
You might find this way of writing the velocity addition formula helpful: Doc Al said: Addition of (parallel) velocities: Low-speed (Galilean) addition of velocities: Relativistic addition of velocities: Where , for example, means the velocity of a as measured by c. That should allow you ...