Comment Re:It's not the energy (Score 1) 287
E = h \nu
"It's not that the signal is low energy, it's that the radiation is not at a frequency that can do any damage"
Given that you say "boost the power to the point where it boiled the water in your cells" I think you're confusing energy (h \nu where nu is the frequency) and power, i.e. energy per second (and power density at that, i.e. energy per square meter per second)
You get it mostly right, though with "if one photon can't do any damage, neither can a thousand photons." You mean breaking bonds, not heating damage. I.e. it's not "ionizing radiation".
Even if it doesn't break molecular bonds by being off-resonance, you can heat with it by exciting motion across the whole molecule in e.g. polar molecules like water (and these are dependent upon frequency as well, since molecules "like to" move (i.e. are resonant) in different ways (different modes) and at different frequencies, hence the FCC power recommendations for ham radio even for wavelengths that are large compared to parts of your body). So you can make up for a lack of efficacy (i.e. by being off-resonance) by throwing more power at it (unless, of course, the molecule is completely non-reacting). So you won't get cancer from it, but you can burn yourself by handling an antenna while it's transmitting or by being too close to one (power density falls off as 1/r^2, so being sufficiently far away is perfectly acceptable and thus why hams can be required to put up fencing to keep people away from antennas).
Of course, wifi transmitters are under 100mW (I think that's the upper limit I've seen) so you can calculate the number of photons being emitted per second, and thus how many photons are being received per second per square meter at some distance from the transmitter, using E=h \nu and the various formulas introduced implicitly above).