Born rigidity only applies when proper acceleration is involved it has absolutely nothing to do with relative motion without proper acceleration.Nugatory said:There is no such thing as a classically rigid body in relativity. Google and search here for "Born rigidity" for more.
MeJennifer said:Born rigidity only applies when proper acceleration is involved
Ok then, what is the difference between a Born rigid and a non Born rigid congruence of parallel intertial worldlines in Minkowski spacetime?PeterDonis said:This is not correct. It is perfectly possible to have a Born rigid geodesic congruence. The simplest example is a congruence of parallel inertial worldlines in Minkowski spacetime.
MeJennifer said:what is the difference between a Born rigid and a non Born rigid congruence of parallel intertial worldlines in Minkowski spacetime?
What is your definition of moving?clem said:"Does the lorentz fitzgerald contraction hypothesis contradicts the classical motion of rigid body?"
The classical definition of a rigid body, that it retains its shape when moving, is contradicted by special relativity. An SR definition of a rigid body is that it retains its shape in its instantaneous rest system, even while moving. You could look at
arXiv:1105.3899.
clem said:An SR definition of a rigid body is that it retains its shape in its instantaneous rest system, even while moving.
Lorentz Fitzgerald contraction, also known as Lorentz contraction or length contraction, is a phenomenon in which an object appears shorter in the direction of its motion when observed by an outside observer. This is a consequence of the theory of special relativity, which explains how the laws of physics behave at high speeds.
Lorentz Fitzgerald contraction was first proposed by Dutch physicist Hendrik Lorentz and independently by Irish physicist George Fitzgerald in the late 19th century. It was later incorporated into Albert Einstein's theory of special relativity.
Lorentz Fitzgerald contraction occurs when an object moves at a high velocity relative to an outside observer. According to the theory of special relativity, as an object approaches the speed of light, its length in the direction of its motion appears to shrink from the perspective of an outside observer. This is due to the fact that time and space are relative, and the perception of length is influenced by the relative motion between the observer and the object.
The formula for Lorentz Fitzgerald contraction is L=L0/√(1-v^2/c^2), where L is the contracted length, L0 is the rest length of the object, v is the relative velocity, and c is the speed of light. This formula shows that as the velocity of an object approaches the speed of light, the contracted length approaches zero.
Lorentz Fitzgerald contraction is not just a theoretical concept, but it has been observed and confirmed in various experiments. One example is the muon experiment, where high-energy muons were observed to have a longer lifetime than expected due to their high speeds. This can be explained by Lorentz Fitzgerald contraction, as the muons appear shorter in the direction of their motion, allowing them to travel further before decaying. Other examples include the contraction of particle accelerators and the lengthening of time intervals in high-speed aircraft clocks.