WHile nerves use electrical impulses to transmit information, the speed of transmission along a nerve is not at the speed of light. It actually takes a measurable time for the pain signal to travel from your toe to your brain, while you get the information more quickly through other channels, like your eyes or other nerves. You feel the thump all through your body as a sound wave, which is faster than your neve impulse from your foot, so your sense of touch sends that info on from places higher up than your foot and the info gets to your brain before the actual nerve impulse from your foot does. So you have that moment when you know you stubbed your toe but the actual pain signal hasn’t got to your brain yet.
I don’t have time right now to Google the exact nerve type conducting the signal. But some things can be sensed in nerves that travel slower like for got example Tactile or touch receptors (mechanoceptors) when activated signal via A beta nerves which have a diameter of 6 to 12 micrometers. Temperature on the other hand is sensed by thermoceptors that signal via A delta (1 to 5 micrometer diameter) and C (0.2 to 0.5 micrometer diameter) fibers. Due to the laws of physics, the narrower the nerve the higher the resistance, the slower the signal. That’s why Touch signals travel at 35 to 75 meters per second while temperature signals travel at 0.5 to 2 meters per second.
Some nerves like type C also don’t have myelin sheath. Which is this fatty layer surrounding neurons. It functions to reduce leak and insulate, making signal transduction much faster. Actually many types of chronic pain signal with those. But I’m just not sure about acute pain right now.
Pain signals travel surprisingly slowly through your body. It’s tempting to think that since pain signals work using something akin to electricity (albeit chemical), they should move at the speed of light or thereabouts, but that’s not how it works.
For example, in the time that your nerves can transmit a pain signal the length of two football fields (around 240 meters), a Saturn V rocket can shoot up to an altitude of 68 km.
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