GarageDweller said:In SR, I know we transform three velocities using the einstein velocity addition law.
However, in the case of four velocities, do they simply transform the same way as four positions? With the lambda matrix?
GarageDweller said:In SR, I know we transform three velocities using the einstein velocity addition law.
However, in the case of four velocities, do they simply transform the same way as four positions? With the lambda matrix?
Four vectors are a mathematical concept used in special relativity to represent physical quantities that have both magnitude and direction in spacetime. They have four components: three spatial components and one time component.
A four vector has four components (three spatial and one time), while a three vector has only three components (all spatial). This is because four vectors take into account the effects of special relativity, which involves the dimension of time in addition to the three dimensions of space.
Some examples of four vectors include displacement, velocity, and momentum. In special relativity, these quantities are represented by four vectors to accurately describe their magnitude and direction in spacetime.
Four vectors are used in physics, specifically in special relativity, to accurately describe the behavior of physical quantities that involve both space and time. They are used to calculate and analyze various properties of objects, such as their motion and interactions.
Four vectors are crucial in special relativity because they allow us to accurately describe and understand the behavior of physical quantities in high-speed and high-energy situations. They take into account the effects of time dilation and length contraction, which are essential concepts in special relativity.