There is nowhere else for the heat to go.
Aren't you forgetting that the efficiency of a thermodynamic process is proportional the ratio of the differences in temperature and the ambient.
For someone who trumpets regularly about his superior intelligence and his breaking insights into fields from physics to economics, you sure get a lot of the basics wrong. If a mining device uses X joules of electrical energy to perform Y hashes, those X joules get converted into an equal amount of heat
. This is basic conservation of energy.
Didn't I make it clear from my upthread posts that I was talking about fact that heat has to be transferred to the environment over spacetime, and the assumption of the integral of transfer being contained with the duty cycle of the effective use of the heat may not be perfectly aligned. If I am not mistaken the differential temperature is one of the metrics on the calculation of the spacetime performance characteristics of a thermal exchange.
Smooth retorted that for example the miner could be turned off before the use of the hair dyer ceased, but that is not a fungible use case of the normal usage of a hair dyer where I don't need to inform my hair dyer how many minutes I will be using it.
No what I suggested was that if that the typical use time of a hair dryer were say 10 minutes, it could be designed to turn off the mining chip after 9 minutes (or a smarter one -- not hard to imagine if it has a mining chip in it -- may learn it's owner's specific usage pattern). That likely reduces the (already small) residual heat to a bare minimum (only in those cases where the user turns it off early, for example if the phone rings).
Toasters and hair driers might be dumb uses for it anyway, though it depends how low the cost of the chip can be driven down. Room heaters, water heaters, etc. are much better.