State some successful predictions from Einstein\'s theory of special relativity Solution Special relativity implies a wide range of consequences, which have been experimentally verified, including length contraction, time dilation, relativistic mass, mass–energy equivalence, a universal speed limit and relativity of simultaneity.The theory is \"special\" in that it only applies in the special case where the curvature of spacetime due to gravity is negligible. In order to include gravity, Einstein formulated general relativity in 1915 Several experiments predating Einstein\'s 1905 paper are now interpreted as evidence for relativity.Particle accelerators routinely accelerate and measure the properties of particles moving at near the speed of light, where their behavior is completely consistent with relativity theory and inconsistent with the earlier Newtonian mechanics. These machines would simply not work if they were not engineered according to relativistic principles. In addition, a considerable number of modern experiments have been conducted to test special relativity. Some examples 1.) According to special relativity, the properties of particles moving approximately at thespeed of light significantly deviate from the predictions of Newtonian mechanics. For instance, the speed of lightcannot be reached by massive particles. Today, those relativistic expressions for particles close to the speed of light are routinely confirmed inundergraduate laboratories, and necessary in the design and theoretical evaluation of collision experiments inparticle accelerators. 2.) The Ives–Stilwell experiment tested the contribution of relativistic time dilation to the Doppler shift of light. The result was in agreement with the formula for the transverse Doppler effect, and was the first direct, quantitative confirmation of the time dilation factor. 3.) Time dilation of moving particles as predicted by special relativity can be measured in particle lifetime experiments. According to special relativity, the rate of clock C traveling between two synchronized laboratory clocks A and B is slowed with respect to the laboratory clock rates. 4.) The Kennedy–Thorndike experiment, first conducted in 1932, is a modified form of the Michelson–Morley experimental procedure, testing special relativity.The modification is to make one arm of the classical Michelson–Morley (MM) apparatus shorter than the other one. While the Michelson–Morley experiment showed that the speed of light is independent of the orientation of the apparatus, the Kennedy–Thorndike experiment showed that it is also independent of the velocity of the apparatus in different inertial frames 5.) Hughes–Drever experiments (also clock comparison-, clock anisotropy-, mass isotropy-, or energy isotropy experiments) are spectroscopic tests of the isotropy of mass and space.Unlike Michelson–Morley type experiments, Hughes–Drever experiments test the isotropy of the interactions of matter itself, that is, of .

1. State some successful predictions from Einstein's theory of special relativity
Solution
Special relativity implies a wide range of consequences, which have been experimentally
verified, including length contraction, time dilation, relativistic mass, mass–energy equivalence,
a universal speed limit and relativity of simultaneity.The theory is "special" in that it only
applies in the special case where the curvature of spacetime due to gravity is negligible. In order
to include gravity, Einstein formulated general relativity in 1915
Several experiments predating Einstein's 1905 paper are now interpreted as evidence for
relativity.Particle accelerators routinely accelerate and measure the properties of particles
moving at near the speed of light, where their behavior is completely consistent with relativity
theory and inconsistent with the earlier Newtonian mechanics. These machines would simply not
work if they were not engineered according to relativistic principles. In addition, a considerable
number of modern experiments have been conducted to test special relativity. Some examples
1.) According to special relativity, the properties of particles moving approximately at thespeed
of light significantly deviate from the predictions of Newtonian mechanics. For instance, the
speed of lightcannot be reached by massive particles.
Today, those relativistic expressions for particles close to the speed of light are routinely
confirmed inundergraduate laboratories, and necessary in the design and theoretical evaluation of
collision experiments inparticle accelerators.
2.) The Ives–Stilwell experiment tested the contribution of relativistic time dilation to the
Doppler shift of light. The result was in agreement with the formula for the transverse Doppler
effect, and was the first direct, quantitative confirmation of the time dilation factor.
3.) Time dilation of moving particles as predicted by special relativity can be measured in
particle lifetime experiments. According to special relativity, the rate of clock C traveling
between two synchronized laboratory clocks A and B is slowed with respect to the laboratory
clock rates.
4.) The Kennedy–Thorndike experiment, first conducted in 1932, is a modified form of the
Michelson–Morley experimental procedure, testing special relativity.The modification is to make
one arm of the classical Michelson–Morley (MM) apparatus shorter than the other one. While
the Michelson–Morley experiment showed that the speed of light is independent of the
orientation of the apparatus, the Kennedy–Thorndike experiment showed that it is also
independent of the velocity of the apparatus in different inertial frames
5.) Hughes–Drever experiments (also clock comparison-, clock anisotropy-, mass isotropy-, or

2. energy isotropy experiments) are spectroscopic tests of the isotropy of mass and space.Unlike
Michelson–Morley type experiments, Hughes–Drever experiments test the isotropy of the
interactions of matter itself, that is, of protons, neutrons, and electrons. The accuracy achieved
makes this kind of experiment one of the most accurate confirmations of relativity.
NOTE: The gravitational waves recently detected form the basis of general relativity.