Farsight said:
Stimpson J. Cat said:
None of the above is equivalent to saying that the inertia of the body doesn't depend on its energy content, as has been repeatedly explained to you.
Yes it is. It says the inertia of a body depends on the Higgs mechanism when that body is a "fundamental particle" such as an electron.
No it doesn't. It says that the rest mass of a body depends on the Higgs mechanism when that body is one of a certain type of fundamental particle (those that interact with the Higgs field).
A 1MeV photon and a 1MeV electron both have exactly the same inertia. So clearly the inertia of a particle does
not depend on the Higgs mechanism. Again, this amounts to you conflating rest mass with inertial mass. The rest mass of a particle is
not proportional to its inertia unless that particle is at rest.
At best, you could say that the inertia of a particle at rest depends on the Higgs mechanism. But that doesn't contradict the fact that it depends on the energy of the particle, because of course the energy of a particle at rest depends on the Higgs mechanism.
If A depends on B, and B depends on C, then A may depend on C. Claiming that "A depends on C" contradicts "A depends on B" in such cases simply makes no sense.
Farsight said:
Stimpson J. Cat said:
The fact remains that the Higgs mechanism does not claim that any particle at rest will have a mass m and an energy E such that E is not equal to mc^2, so you are simply wrong when you say that it violates E=mc^2, or that the Higgs mechanism claims that the mass of a particle does not depend on its energy content or that the Higgs mechanism claims that the mass of a particle is not a measure of its energy content.
I'm not "simply wrong". Einstein said radiation conveys inertia. So after pair production the electron has obtained its inertia from the photon that made it, not from the Higgs mechanism. It's that simple Stimpson. Now go and read that Einstein paper.
No, it is not that simple. Because once again you are misrepresenting what the Higgs mechanism actually claims.
Yes, the combined inertia of the electron positron pair is exactly equal to the combined inertia of the two photons that produced them. This is clear from conservation of energy and the fact that the total inertial of a system is proportional to the total energy of the system.
But since the Higgs mechanism does not claim that the total inertia of the electron positron pair
won't be equal to the total inertia of the two photons, you are dead wrong in claiming that the Higgs mechanism somehow contradicts this.
Your specific wording is interesting, though. The electron does not "obtain its inertia from the Higgs mechanism". The Higgs mechanism does not give any particle
inertia. A particle with 1MeV of total energy will always have 1MeV/c^2 of inertial mass
regardless of how strongly it interacts with the Higgs field. So the inertia of a 1MeV particle is the same
regardless of how strongly it interacts with the Higgs field. All the Higgs mechanism does is determine
how much of a particle's
total energy will be in the form of
rest energy, and thus
how much of its
total inertial mass will be in the form of
rest mass.
It would be like if I gave my Niece $100, and her mother made her put $80 in her savings acount and keep $20 as cash. I, not her mother, gave her the $100. The fact that her mother determined how much of that is in her savings account does not change that. The total money she has is still $100, just as the total energy (and thus the total inertia) of the electron and positron is the full energy/inertia "given" to them by the two photons. Her mother just determined how that money would be
distributed between her savings and checking accounts, just as the Higgs mechanism determines how the energy/inertia will be distributed between rest-energy and kinetic-energy.
You can argue that it is incorrect to say that her mother determined that she would have $100, and you would be absolutely correct. Likewise, you can claim that the Higgs mechanism is not what gives the electron-positron pair their inertia in pair production. And again you would be absolutely correct. What is incorrect is the assertion that anybody is actually claiming that the Higgs mechanism
does give particles their inertia. It does not. The Higgs mechanism does not provide inertia to particles. It just influences the
rest mass of certain particles.
But as you have been forced to acknowledge, rest mass is not the same as inertia. A 10MeV electron has 10MeV/c^2 of inertia, but only 0.511MeV/c^2 of rest mass. Also, the Higgs mechanism does not
provide the rest energy (which the rest mass is a measure of). That energy still has to come from somewhere else. The Higgs mechanism just determines how much of the particle's energy will be
allocated to rest energy.
If you think that Higgs theory claims that the Higgs mechanism somehow provides the rest energy of particles, or that it results in the total inertia of a particle not being proportional to its total energy, then you have simply misunderstood what the Higgs theory actually
says.
That said, I doubt very much that you actually know anything about the Higgs theory beyond various qualitative descriptions you have read about it on the web. If you had actually read (and understood) any of the actual
science behind it, you would not be making such obvious misstatements about it.