Questions tagged [lorentz-transformation]
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68 questions
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Why can't only time dilation alone take place in special relativity, without length contraction? [closed]
An object moving relative to an observer experiences time dilation, as stated in the theory of Special Relativity.
But suppose only time dilation occurred while lengths remained unchanged.
Wouldn’t ...
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Does the linearity of transformations between inertial coordinate frames follow from the standard postulates of special relativity?
There are often multiple equivalent ways to formalize a physical theory, which may disagree on which propositions are fundamental axioms and which are derived theorems, but which (hopefully!) agree on ...
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What is the def of physical coordinate transformation in GR
In SR, the lorentz transformation is defined by the minkowski metric such that it has to be invariant under the transformation. Moreover, we have to impose further condition such as proper and ...
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What is gravity near speed of light due to contraction?
observing a box traveling close to $c$ i would see the box shrink in the direction of travel. so the mass in the front approaches the mass of the back getting arbitrarily close as the box approaches $...
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Why does the Lorentz transformation preserve the speed of light specifically under the Minkowski metric but not under alternative quadratic forms?
I know that Lorentz transformations are defined as the linear transformations preserving the Minkowski metric $s^2 = c^2t^2 - x^2 - y^2 - z^2$. But suppose we consider an alternate metric $s^{′2} = c^...
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How does a change in velocity affect inertial frame transformations?
Suppose that we write a function that changes coordinates from one inertial frame to another in the form
$$x \longmapsto \Lambda x + a$$
where $\Lambda$ is linear, with components
$$\Lambda=\gamma\...
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Lorentz transformation of momentum space and position space simultaneously
When we consider Lorentz transformations, do we consider the transformations of the momentum space and the position space simultaneously? Or do we do it depending on the problem i.e. if we work in ...
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Poincare Transformations on Vectors that are function of time
I have a spacetime 4 vector $P^{\mu}(t)$ that is a function of time. I want to understand how a generic boost $\vec{\beta}$ would change this 4-vector. But since the implicit time coordinate also ...
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Expansion and contraction of a null geodesic path
If there is a null geodesic path in the flat spacetime at the surface of the light cone, then it's spatially and temporally contracted and expanded by the Doppler factor, not the Lorentz factor (and ...
user539445
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Does relativity of simultaneity mean that it is possible for some intertial observer to observe two mutually exlusive events simultaneously?
Suppose I have a die. I threw a 1 and 6 on the die one after another. The relativity of simultaneity states that these two events can occur at the same time in some other inertial reference frame. ...
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How does a Lorentz-invariant scalar field transform?
I am currently studying special relativity in depth for the first time, and have just encountered the concept of a Lorentz-invariant scalar field, $V(x,y,z,t)$. As I understand it, this is a scalar ...
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I'm asking for references relative to what might be called "Lorentz-Reichenbach transformations"
I've been trying to figure out what might be the answer to the question "How does the Lorentz transformation get modified when we trade the Einstein synchronization for a Reichenbach ...
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Will a current (moving in a neutral wire) contract relativistically and thereby repel a static charge? [duplicate]
Will a current (moving in a neutral wire) contract relativistically and thereby repel a static charge?
Imagine a very long neutral wire. We use the lab frame, where we see the wire fixed. A current is ...
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Proof of mass-energy equivalence [closed]
I can derive mass-energy equivalence between two reference frames, but am not able to make the step to show the equivalence exists within a single frame.
I begin with a particle having non-zero ...
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Lorentz Transformations at Different Points in Curved Space
How does a local reference frame affect spacetime coordinates elsewhere on the spacetime manifold? In special relativity, I can say how the rest of the universe changes when I change my reference ...
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