The way I understand your device, you have a temperature difference between the outside and inside of the fridge. You use this temperature difference
to generate electricity, which you then use to power another peltier cell and create an even greater temperature difference. This is analogous to
using a motor to run a generator that powers itself, and is impossible.
The problem is your device has no power input; it just runs by itself. Solar cells have a power input of sunlight. If you remove the sunlight, the
power stops. Peltier cells have a power source of heat. Remove the heat source, the power stops. This is the key difference here that makes your
device impossible.
The specific law of thermodynamics you appear to have violated is the second one. You have gone from a homogenous system with a uniform temperature,
and created a temperature difference. This is impossible UNLESS you input some kind of energy in the form of light, electricity or heat.
With regards to the power source being electrons, they are not. Electrons can convey power, but they are not a source in and of themselves. In the
same way when I throw a ball across the room and hit somebody, I have transferred energy to them but the source of the energy is not the ball, it's
me.
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