In physics, in particular in special relativity and general relativity, a four-velocity is a four-vector in four-dimensional spacetime. Theory of relativity · Components of the four-velocity

2 мая 2016 г. · The vector that represents the relativistic counterpart of velocity, which is a three-dimensional vector in space, is a four-vector and is ...

12 апр. 2017 г. · The energy that the observer measures for the object is the projection of the object's 4-momentum on the observer's 4-velocity. Is the four-velocity always normalized? - Physics Stack Exchange general relativity - Physical Interpretation of four velocity in GR Definition of four-velocity: why define it with proper time of the ... Другие результаты с сайта physics.stackexchange.com

The four-velocity of a particle with mass can be written as uα = dxα/dτ, where τ is the proper time (specifically, dτ2 = −ds2 in geometrized units).

15 апр. 2020 г. · The magnitude of a four velocity is a measure of the speed of an object in four-dimensional spacetime. It takes into account both the spatial ... Normalization of 4-velocity in general relativity - Physics Forums Four Velocity in GR: Covariant Derivative Needed? Другие результаты с сайта www.physicsforums.com

The velocity four-vector of a particle is defined by: Uµ = dxµ dτ. = (γc ; γv ) ... The relativistic law of addition of velocities. Let us now consider the ...

15 апр. 2017 г. · So the 4-velocity of an observer is the velocity of it's world-line when parametrized by proper-time.

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Опубликовано: 26 июн. 2021 г.

21 авг. 2021 г. · Yes, the magnitude of the four velocity is c. Note that because this is hyperbolic geometry, the magnitude formula is a modified Pythagorean one.

So the four-momentum of a photon is a null vector. Also, by considering Eq. 17, we see that the four-velocity of a photon is ill-defined (instead we take a m → ...