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## Why do we need Lorentz transformation instead of Galilean transformation?

Lorentz Transformations are employed in the special relativity and relativistic dynamics. Galilean transformations do not predict accurate results when bodies move with speeds closer to the speed of light. Hence, Lorentz transformations are **used when bodies travel at such speeds**.

## What is Lorentz transformation in simple words?

Lorentz transformation is **the relationship between two different coordinate frames that move at a constant velocity and are relative to each other**. The name of the transformation comes from a Dutch physicist Hendrik Lorentz.

## Why is Lorentz invariance important?

Lorentz-invariance is **the symmetry of Special Relativity**; it tells us how observables transform from one reference frame to another. … (To be precise, Lorentz-covariance isn’t the full symmetry of Special Relativity because there are also translations in space and time that should maintain the laws of nature.

## How the Lorentz transformation was derived and what it represents?

The Lorentz transformation transforms between two reference frames when one is moving with respect to the other. The Lorentz transformation can be derived as **the relationship between the coordinates of a particle in the two inertial frames on the basis of** the special theory of relativity.

## What are the consequences of Lorentz transformation?

One of the most striking consequences of the Lorentz transformation is that **simultaneity as a universal concept has to be abandoned**. Simultaneity is also relative.

## What are the values of relativistic factor?

Numerical values

Speed (units of c), | Lorentz factor, | Reciprocal, |
---|---|---|

0.900 | 2.294 | 0.436 |

0.990 | 7.089 | 0.141 |

0.999 | 22.366 | 0.045 |

0.99995 | 100.00 | 0.010 |

## What are the postulates of special theory of relativity?

1. Principle of Relativity – **All the laws of physics are the same in all inertial reference frames**. 2. The speed of light in a vacuum is the same (3.0 x108 m/s) in all inertial reference frames regardless of the motion of the observer or source.

## What does the name Lorentz mean?

Lorentz is a name derived **from the Roman surname, Laurentius**, which means “from Laurentum”. It is the German form of Laurence.

## Is Lorentz transformation a tensor?

A Lorentz tensor is, by definition, **an object whose indices transform like a tensor under Lorentz** transformations; what we mean by this precisely will be explained below. A 4-vector is a tensor with one index (a first rank tensor), but in general we can construct objects with as many Lorentz indices as we like.