M. Frame: Invariant Mass Confinement < c Motion

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SUMMARY

The discussion centers on the concept of invariant mass in the context of special relativity (SR) and its relationship with the Higgs mechanism in quantum mechanics. Participants clarify that while SR describes mass as an invariant quantity, it does not address the origin of mass itself. The Higgs mechanism is identified as the leading explanation for why particles possess mass, with the Higgs boson being a crucial element yet to be detected. The invariant relationship E² - p² = m² is emphasized as a fundamental aspect of particle physics, applicable across all reference frames.

PREREQUISITES
  • Understanding of special relativity (SR) principles
  • Familiarity with the Higgs mechanism in quantum mechanics
  • Knowledge of energy-momentum relationships
  • Basic grasp of particle physics and mass-energy equivalence
NEXT STEPS
  • Research the Higgs boson and its role in the Standard Model of particle physics
  • Study the implications of the invariant mass relationship E² - p² = m²
  • Explore the experimental goals of the Large Hadron Collider (LHC) regarding mass detection
  • Investigate the SO(3,1) symmetry structure of spacetime in relation to mass and energy
USEFUL FOR

Physicists, students of particle physics, and anyone interested in the foundational concepts of mass and energy in the universe.

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Hi, hopefully this isn't a dumb question. I've read essentially that in the center of mass/momentum frame an object has invariant mass, and that the system's total mass will be composed of the constituent particles' masses and any other kinetic and potential energies within the system. I also think I know that these various forms of rest mass are interconvertible with kinetic photon energies that can be radiated away from the system should the particles be annihilated. I guess what I'm trying to ask is, what's the mechanism that determines a particle having rest mass and, hence, occupying space and time sublight.

Anyway, I hope this is phrased correctly and is factually meaningful. Thanks for any answers!

C.
 
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In SR, particles have this attribute we call mass which we can ascribe a number to and we can see how these particles move. The question of why particles have mass is not asked in SR. This question is a question asked in the Standard Model of quantum mechanics.

The currently best accepted model is the Higgs mechanism. Perhaps you will enjoy a read in wiki: http://en.wikipedia.org/wiki/Higgs_mechanism

The Higgs boson which mediates this mechanism has not yet been detected...its detection is one of the primary goals of the LHC.
 
In SR there is no reason for or origin of mass.

SR is based on a certain SO(3,1) symmetry structure of spacetime. The same symmetry applies to energy E and momentum p. Due to that symmetry the "length" E² - p² = m² is invariant, that means it has the same value in all reference frames.

This means that for each particle both energy E and momentum p are velocity-dependent (that means relative as they depend on the velocity of the particle measured in a certain reference frame), but nevertheless that this invariant "length" characterizes the particles uniquely. Measured in the rest frame and using the well-known relation E = mc² one finds that this invariant is nothing else but the particle's rest mass.

But SR only requires that this m² is invariant; neither does the theory fix its value nor does it explain its origin.
 

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