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As you travel close to the speed of light, it is to my understanding you gain mass. Does this also apply when the brain sends electrical signals to the muscles? Do the signals (that are traveling at the speed of light) cause the body to weigh more?

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The signals travelling from your brain along your nerves travel at much much less than the speed of light. The maximum speed is about 100 m/sec.

In any case what travels down the nerve is a change in the sodium and potassium ion concentration not some mass, so there isn't anything to gain relativistic mass.

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John Rennie's answer is correct.

However.

Even if the signals would travel through or nerves at relativistic velocity, transmitted by some particles, this would not increase our mass, because to give those particles the energy to reach that speed, we have to consume it from somewhere else (perhaps to burn some calories). So the mass they gain by moving near the speed of light is in fact given to them by your body, and there is no increase of mass.

Let's discuss instead of a human with signals traveling through nerves, about a robot, which has optical fiber wires in which information travels at the speed of light. To create photons to be transmitted through the fibers, the robot consumes some energy. This energy is (partially) preserved in the photon. So if the photon increase the robot's mass due to its own movement mass, it is the mass which was "burned" to emit the photon. So its mass doesn't increases because of the photons traveling through its optical fibers wires. I can say that it loses mass, because these processes release heat (energy) in the universe. But this variation is too small anyway.

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  • $\begingroup$ i appreciate you explaining it to me in a way that makes sense.. i had asked an engineer the same question and this was his response..... "The point you’ve made is that it is the electrical signal that is traveling very fast. i.e. something that is massless to start with, since that is so the signal does not have mass to increase. From that I would conclude that as our bodies send signals coursing though the nerves, there is no increase in our mass. An electrical signal is occurs when there is an electrical potential between the ends of an electrical conductor. Though it is transmitted $\endgroup$
    – user11996
    Sep 6, 2012 at 18:26

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