- For a single particle, its invariant mass equals its energy at rest divided by the square of the speed of light.
- Photons, which have zero rest mass, still possess an invariant mass calculated using their energy and momentum, related by the equation E=pc, where E is energy, p is momentum, and c is the speed of light.
- Invariant mass is a crucial concept in particle physics because it is conserved in all interactions, including those involving the conversion of mass into energy and vice versa.
- The conservation of invariant mass stems from the conservation of energy and momentum, fundamental principles in physics.
The fact that photons have zero rest mass has several important implications in physics, especially regarding their behaviour, speed, and role in electromagnetic interactions:
- Speed of light: Photons always travel at the speed of light (approximately 299,792,458 meters per second) in a vacuum. Since they have zero rest mass, they don’t need any energy to accelerate to this speed. This is a fundamental feature of special relativity, where massless particles must always travel at the speed of light.
- Energy and momentum: Even though photons have no rest mass, they still carry energy and momentum. According to Einstein’s equations, the energy of a photon is proportional to its momentum, with no contribution from rest mass. This allows photons to transfer energy to other particles, as seen in phenomena like the photoelectric effect or Compton scattering.
- Interaction with gravity: Despite having zero mass, photons are still affected by gravity. This is because gravity influences spacetime itself, curving the path of photons. For example, light bends around massive objects like stars or black holes, a phenomenon known as gravitational lensing, predicted by general relativity.
- Infinite range of electromagnetic force: The fact that photons are massless ensures that the electromagnetic force, which they mediate, has an infinite range. If photons had mass, the electromagnetic force would diminish over distance, limiting its range.
- Time perception for photons: Since photons travel at the speed of light, from their perspective, time doesn’t pass. This means that for a photon, the moment it is emitted is the same as the moment it is absorbed, making time essentially non-existent in its frame of reference.
References
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- Rest mass, also known as invariant mass, intrinsic mass, proper mass (or simply mass in the case of bound systems,) is a fundamental property of a particle or a system of particles that remains constant regardless of the observer’s frame of reference.
- For a single particle, its invariant mass equals its energy at rest divided by the square of the speed of light.
- Photons, which have zero rest mass, still possess an invariant mass calculated using their energy and momentum, related by the equation E=pc, where E is energy, p is momentum, and c is the speed of light.
- Invariant mass is a crucial concept in particle physics because it’s conserved in all interactions, including those involving the conversion of mass into energy and vice versa.
- The conservation of invariant mass stems from the conservation of energy and momentum, fundamental principles in physics.