Can Photons Really Have Zero Momentum and Energy?

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SUMMARY

Photons, the particles of light, possess zero rest mass, leading to the conclusion that their momentum (p) and energy (E) cannot be defined in the same way as massive particles. The equation E^2 = p^2 c^2 + m^2 c^4 illustrates that for photons, where the rest mass (m) is zero, the energy is directly related to momentum. Therefore, while photons travel at the speed of light, their relativistic mass does not apply, confirming that they have no rest energy or momentum in the traditional sense.

PREREQUISITES
  • Understanding of relativistic physics concepts
  • Familiarity with the equation E=mc²
  • Knowledge of momentum in physics (p=mv)
  • Basic grasp of the relationship between energy and mass
NEXT STEPS
  • Research the implications of massless particles in quantum mechanics
  • Study the derivation and applications of the equation E^2 = p^2 c^2 + m^2 c^4
  • Explore the concept of relativistic mass versus invariant mass
  • Investigate the role of photons in electromagnetic theory
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Students and professionals in physics, particularly those focusing on quantum mechanics and relativity, as well as educators seeking to clarify the properties of light and its behavior in various contexts.

suchal
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p=mv then for a photon p=0*c means p=0. And also ke=1/2pv which is ke=0 and E=mc2 means E=0. please use easy words and we descriptive.
 
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For <particles> of light, photons, certain care needs to be taken about what p,m,v,E mean. If p=mc, then m is the so-called 'relativistic mass' which has no meaning for a photon, but only for a massive particle.

The universal formula which is to be used is

[tex]E^2 = \vec{p}^2 c^2 + m^2 c^4[/tex]

where m is the rest/invariant mass which is 0 for a photon.
 

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