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daniel_i_l
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Is there an intuitive explanation for the fact that in both relativity (time part of 4vector) and qm (frequency) energy is related to time and momentum to space?
Thanks.
Thanks.
daniel_i_l said:Is there an intuitive explanation for the fact that in both relativity (time part of 4vector) and qm (frequency) energy is related to time and momentum to space?
Thanks.
pervect said:Momentum can be defined as space translation symmetry, and energy as time translation symmetry. This happens because of "Noether's theorem".
The theory of relativity, developed by Albert Einstein in the early 20th century, is a set of two theories that describe the relationship between space, time, and gravity. The first theory, Special Relativity, deals with objects in constant motion, while the second theory, General Relativity, includes the effects of gravity on space and time.
According to Einstein's famous equation, E=mc², energy and mass are equivalent and can be converted into each other. This means that time and space are also intertwined with energy, as they are affected by the presence of matter and energy. Additionally, the theory of relativity shows that time is not constant, but rather relative to the observer's frame of reference.
Quantum mechanics is a branch of physics that studies the behavior of particles on a very small scale, such as atoms and subatomic particles. It describes how these particles behave and interact with each other through principles such as superposition, uncertainty, and entanglement.
Quantum mechanics and relativity are two of the most successful theories in physics, but they have different domains of applicability. While relativity deals with large objects and gravity, quantum mechanics is used to explain the behavior of particles on a small scale. However, efforts have been made to combine these theories into a theory of quantum gravity that can explain the behavior of particles on all scales.
In quantum mechanics, time is considered to be a continuous and linear variable, but it can also be affected by the presence of energy. The Heisenberg uncertainty principle states that the more accurately we know the energy of a particle, the less accurately we can measure its time. This shows that energy and time are intricately linked in the quantum world.