You supposedly have a PhD in physics - have you tried working out the strength of the electromagnetic waves produced by your brain (hint: EEGs use scalp electrodes and only detect a very weak signal through the skull)?
Now calculate the energy required to broadcast a signal from a brain-shaped aerial strong enough not be swamped by the EM noise from your fridge, TV, computer, mains supply, street lights, media broadcasts, atmospheric discharges, etc.
Or a signal strong enough to be detected after bouncing off the ionosphere. How hot is your brain? how many calories do you eat a day?
A physicist should know this stuff.
Yes, I have actually studied the physical aspect.
The power of the brain is approximately 20 Watt (see
hypertextbook.com/facts/2001/JacquelineLing.shtml).
On the other hand, with 5 W (radiated) power, ham radio operators can make voice contact with "the other side of the world" (see
ham1,
ham2). It is possible to make telegraphic contact with the other side of the world (using for example the Morse code) with only 500 mW (
ham2). According to wikipedia, the current record for a "QRP" connection (this means "low power amateur radio connection") is 1 microWatt for 1,650 miles on 10 meter (see
en.wikipedia.org/wiki/QRP_operation#Philosophy).
The human brain has gamma oscillations of frequencies up to 200 Hz, see
High-frequency gamma oscillations and human brain mapping with electrocorticography. There are probably other, much higher frequencies of electromagnetic waves, which occur when electromagnetic pulses created by cerebral activity and neuronal action potentials bounce back and forth between the "walls of the brain", in this way you create a simple high frequency oscillator, which then may get modulated by the gamma waves.
It is possible that our neurons are like extra-ordinarily sensitive transistors, which "trigger" when a well defined voltage threshold is reached (this triggers the action potential) and can amplify. And since there are so many of them (about one hundred billion), you presumably end up with an extraordinarily biological device for detecting electromagnetic waves in your skull, which will detect primarily waves of the "right wavelengths" for creating a sustained oscillation, which are waves creating by other brains. It is possible that my own gamma waves have something special in the message they convey (perhaps because I am more altruistic than most), which would explain why they are understood better than the average. It is also possible that my "special" telepathic waves get understood and re-emitted by other brains after a long journey, and thereby amplified.