What Differentiates Massive Objects from Photons in Terms of Speed of Light?

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SUMMARY

The discussion clarifies the fundamental differences between massive objects and photons regarding their ability to travel at the speed of light. Massive objects cannot reach light speed due to their mass, while photons, being massless particles, can. The conversation references Einstein's equation E^2=(m(c^2))^2+(pc)^2 to explain that a massive particle's energy derives from both its mass and motion, whereas a photon’s energy is solely derived from its motion. The distinction between rest mass and relativistic mass is emphasized, with the current consensus being that photons possess zero mass by definition.

PREREQUISITES
  • Understanding of Einstein's mass-energy equivalence (E=mc²)
  • Knowledge of particle physics concepts, particularly massless particles
  • Familiarity with the Higgs field and its implications on mass
  • Basic grasp of relativistic physics and energy-momentum relationships
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  • Study the implications of the Higgs field on particle mass and behavior
  • Explore the concept of relativistic mass versus rest mass in detail
  • Investigate the properties of massless particles and their role in quantum mechanics
  • Learn about the applications of Einstein's equations in modern physics
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Physicists, students of theoretical physics, and anyone interested in the fundamental principles of mass, energy, and the nature of light will benefit from this discussion.

conner.ubert
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Hello friends:

My Question:
A massive object cannot move at the speed of light. Photons can move at the speed of light because they are massless. However, since energy and mass are equivalent, due to Einstein's famous equation E^2=(m(c^2))^2+(pc)^2, mass is energy by a conversion factor. And photons are just quanta of electromagnetic radiation and are therefore energy as well. Since both a massive object and a photon contain some amount of energy, what differentiates the two which allows a photon to move at the speed of light and while a massive object cannot? Is it in regards to the Higgs field?

Thank you for your time
 
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conner.ubert said:
mass is energy by a conversion factor.

I would not say "mass is energy". I would say that "mass has energy". But leaving that aside as a semantic quibble, the converse is not true in general. You cannot always say that "energy is mass." (I would rather say, you cannot always say that a particle's energy comes from its mass.)

In general, a particle's energy comes from both its mass and its motion.

For a massive particle in motion, its energy comes both from its mass and its motion, via Einstein's famous equation.

For a massive particle at rest, its energy comes from its mass alone. Take Einstein's equation and set p = 0.

For a massless particle (photon), the energy comes from its motion alone. Take Einstein's equation and set m = 0.
 
jtbell said:
You cannot always say that "energy is mass."

There was a time when you could. We used to painfully distinguish 'rest mass' from 'relativistic mass' carefully sprinkling m0 everywhere throughout the texts.
Nowadays mass (rest mass) is mass and that's it. A photon has zero mass by definition.
 

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