Does it mean that as you increase the energy of a particle

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SUMMARY

The discussion centers on the relationship between energy and mass as articulated by the equation E=mc², particularly in the context of relativistic physics. It clarifies that as the energy of a particle increases, its relativistic mass does not increase in the traditional sense, as the concept of relativistic mass is outdated. Instead, the equation illustrates that energy and mass are interchangeable but not convertible in a way that suggests mass can be transformed into energy. The discussion also emphasizes the constancy of the speed of light as a fundamental principle in all inertial reference frames, which underpins the mass-energy equivalence concept.

PREREQUISITES
  • Understanding of Einstein's mass-energy equivalence principle
  • Familiarity with the concept of inertial reference frames
  • Basic knowledge of relativistic physics
  • Comprehension of the equation E=mc² and its implications
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  • Study the implications of the Lorentz transformation in relativistic physics
  • Explore the concept of invariant mass versus relativistic mass
  • Investigate the role of the speed of light in modern physics
  • Learn about applications of mass-energy equivalence in particle physics
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Physics students, educators, and anyone interested in understanding the principles of relativity and mass-energy equivalence in modern physics.

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Does it mean that as you increase the energy of a particle, its mass will increase? Or, that for any given particle there is a certain container of certain mass/energy and part of that quantity is allocated to energy and the other to mass. In the latter case, could you not make a transistor out of this where you encode 0/1 states to certain mass/energy distributions?

On an simple, intuitive level (I'm a physics layman):

Why does it happen to be related by exactly the speed of light squared?

How does this equation follow from the simple statement: The speed of light is the same in all inertial reference frames?
 
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The equation comes in the form
[tex] E=\frac{m_0 c^2}{\sqrt{1-\left(\frac{v}{c}\right)^2}}[/tex]
When things aren't moving, or are moving slowly this just becomes [itex]E=m_0 c^2[/itex]. In general, it was considered as an answer to the question: "Does the inertia of a body, depend upon it's energy content?" But the idea of relativistic mass, mass that changes depending on velocity, is no longer in vogue.
 


WIKIPEDIA said:
Mass–energy equivalence does not imply that mass may be "converted" to energy, and indeed implies the opposite.

answers the first question
 

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