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flyinjoe
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What is the difference between the normal in Minkowski spacetime and the normal in Euclidean space?
flyinjoe said:What is the difference between the normal in Minkowski spacetime and the normal in Euclidean space?
...Space and time have properties which lead to different rules for the translation of coordinates in case of moving observers [different than Newtonian/Eucledean]...In the Minkowski diagram this relativity of simultaneity corresponds with the introduction of a separate path axis for the moving observer.
Minkowski normal and Euclidean normal are two different ways of measuring distance in a mathematical space. Minkowski normal is used in a special type of space called Minkowski space, which is used in the theory of relativity. Euclidean normal, on the other hand, is used in traditional Euclidean space, which is the type of space we are most familiar with in everyday life.
Euclidean space is more commonly used in scientific research, as it is the type of space that most closely resembles our physical world. However, Minkowski space is also used in certain areas of physics, such as relativity and cosmology.
In Euclidean space, distance is measured using the Pythagorean theorem, where the square of the distance between two points is equal to the sum of the squares of the differences in their coordinates. In Minkowski space, distance is measured using a different formula that takes into account the concept of spacetime and the speed of light.
Yes, Minkowski space is used in the theory of relativity, which has numerous applications in modern technology, such as GPS systems and particle accelerators. It is also used in cosmology to understand the structure and evolution of the universe.
Both Minkowski normal and Euclidean normal are accurate in measuring distance in their respective spaces. However, they are used in different contexts and cannot be directly compared in terms of accuracy.