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I am glad to offer some insight. It's a deep subject that crosses SEVERAL disciplines in computer science, cryptography, and game theory to name a few. Over time one begins to understand why there is value in "burning this energy for nothing"... A misunderstanding in the first place. Here's why:I'm still trying to make sense of the concept of how a thing gains value because of the electricity that was spent in creating a long string of numbers. These strings have no value, they are just electricity receipts for doing nothing more than having a videocard go brrrrrrrrrrrr.
The idea that this is such a worthy cause as to devote "green energy" to is beyond absurd.
Bitcoin's energy use is called "Proof of Work". And that energy use is at the base of what secures the Bitcoin network. But by far the most important part is it is a provable and observable way to know that when a miner adds more information to Bitcoin's blockchain that it is legitimate. The miner cannot just make up the fact that they went to trouble to solve a difficult math problem.
This energy use allows actors across the entire globe to agree on a single set of facts (the blockchain) despite the reality they are incentivized to cheat. (See John Nash's concept of non cooperative game theory) If someone could make bitcoin, or charge transaction fees WITHOUT doing the work... AND proving they did then they most certainly would. And this would instantly undermine the security of the network and would remove the foundation for Bitcoin having a monetary value in the first place.
The energy use is THE most simple and straightforward way to create this barrier.
It is counterintuitive, but consider this. Gold is just the same. It is valuable because it is extremely hard to produce. And it cannot be just created out of nothing... or some other metal (well... ermm... there is THIS recent development).
Gold's Proof of Work is exploration, digging giant holes, hauling away tons and tons of earth, sorting out the ore, refining it, smelting it, forming it into bars (etc), and THEN there is transport, security, the defense of something like Ft Knox, etc.
A TREMENDOUS amount of energy goes into mining and producing gold. And it leaves a net negative impact on the environment. And even after we have pure gold we have to continue to spend an ongoing amount of energy in the form of resources and human labor to protect, move, store etc. the shiny yellow element.
Bitcoin boils that ALL down to pure energy use, and achieves a superior result in many regards. Bitcoin is easier to transport, divide, store, etc.
And... you mention wasting green energy. Bitcoin incentivizes the use of stranded energy, AND the development of green energy. I will outline 3 examples.
1. Oil production inevitably also produces natural gas. This can be sold and used as well if the wells are close enough to human populations. But in most locations it is simply flared. This is better than just releasing it unburned into the atmosphere (MUCH MUCH better) but still polluting. Compact bitcoin mining stations however can burn the gas in ways that pollute less BUT also produce a useful asset.
2. Bitcoin can be the "buyer of last resort". One problem with renewables is the fact they are intermitant. AND demand also fluctuates. And the two can be out of sync as well. This makes building a lot of kinds of reneweables financially unfeasible. BUT if you can park a Bitcoin mine next to the energy source then in times the energy would be wasted the mine can run, and produce income. Then when the big city down the lines needs more energy (like in a TX ice storm) then we can turn off all the miners and point all we got at the grid. THIS allows us to build solar and wind we could not otherwise!
3. Finally imagine an area in an undeveloped nation. There is a massive oppourtunity for hydroelectric plants near a warterfall on a river the villages surround. And the villages would GREATLY benefit from having electricity. But they are poor. And therefore the extremly expensive endeavor of building a dam would not pay off in a timeframe that would make it worth doing. Alright... build the dam AND a bitcoin mine. And start making value immeadiately. Build the beginnings of the infra to the villages, and as they increase their electrical use, they will also increase their productivity, and will be able to afford more power, and infrastructure etc... all the while Bitcoin is filling in the gaps and making the project possible in the first place. A virtuous cycle.
There is so much more we could talk about... but maybe that is already a bit much.

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