while they do have therapeutic effects (some, I wouldn't say alcohol does), I don't think they should be proposed as methods to relax stress. Too many downsides and are not sustainable as regularly used substances. Yes you do feel great in a night of MDMA but the feelings you have the following days almost negate the positive aspects.
If your only interaction was "follow instructions and build one in the lab", doesn't that tell you exactly there is something deep you didn't understand at all?
I do not know or care what would Mr. Shannon think. What I do know is that the base you chose for the logarithm on the entropy equation has nothing to do with the amount of bits you assign to a word on a digital architecture :)
> the geometrical interpretation of an outwardly expanding spherical shell of power shouldn't depend on frequency
I think nobody says that is does. I believe the problem is to call Friis transmission equation "Free-space loss". Actually the Friis formula is composed of 3 terms: the receiving and transmitting antennas gain and the actual free space loss which has the 1/R^2 dependency (which actually isn't a "loss" in energy balance terms, since it's not lost energy, just energy not received at a certain point, so we could argue about that term too...)
How can an equation that does not represent a balance of energy violate energy conservation?
With path loss equation I assume you refer to Friis equation which is just the ratio of power received at an antenna to power given to the transmitter. It is correct and does not violate conservation of energy since it says nothing about the power not received at the receiver