- #1
Lapidus
- 344
- 11
Could someone give me some deeper insight why we need to have momentum and energy to describe motion? Kinetic energy is only the square root of momentum divided by two times the mass of the particle. Why the need for this extra entity energy?
I know that energy is a scalar and momentum is a vector, and that momentum generates space symmetry and energy generates time symmetry. But I would like to have some further insights why energy is connected to time and momentum to space.
And why dV/dx = dp/dt ?
Why is the space derivative of the (potential) energy equal to the time derivative?
Again, I would like to have some clever insights and deep-down ideas on how energy, momentum, time and space are related.
thank you
I know that energy is a scalar and momentum is a vector, and that momentum generates space symmetry and energy generates time symmetry. But I would like to have some further insights why energy is connected to time and momentum to space.
And why dV/dx = dp/dt ?
Why is the space derivative of the (potential) energy equal to the time derivative?
Again, I would like to have some clever insights and deep-down ideas on how energy, momentum, time and space are related.
thank you
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