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Arbab
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In Dirac theory the electron velocity is equal to the speed of light. Why should that appear? Why should we try to solve this problem outside quantum mechanics hypothesis? Should we look for an alternative theory?
Arbab said:In Dirac theory the electron velocity is equal to the speed of light. Why should that appear? Why should we try to solve this problem outside quantum mechanics hypothesis? Should we look for an alternative theory?
Jilang said:Time in a co-moving frame?
The particle velocity in Dirac theory is equal to c because it is a fundamental constant in the theory of relativity. In this theory, the speed of light is considered to be a universal physical constant, and all particles, including those described by the Dirac equation, must travel at this speed.
The Dirac equation incorporates the speed of light through the use of the gamma matrices, which represent the four-dimensional nature of spacetime. These matrices have a special property that ensures that the equation is Lorentz invariant, meaning that it remains unchanged under transformations between different reference frames.
Yes, the speed of light is a limiting factor in the Dirac theory. This means that no particle can travel faster than the speed of light, as described by the equation. This is in line with the theory of relativity, which states that the speed of light is the maximum speed at which all particles and information can travel.
The speed of light has significant implications on the behavior of particles in Dirac theory. For example, particles with mass cannot reach the speed of light, and instead, their velocity approaches c as their energy increases. Additionally, the speed of light affects the behavior of particles in terms of their interactions and reactions with other particles.
No, the speed of light is a constant in Dirac theory and cannot be changed or altered. It is a fundamental property of the universe and is deeply ingrained in the fabric of spacetime. While the behavior of particles may change depending on their energy levels, the speed of light remains constant and is a critical factor in the equations of Dirac theory.