Global Financial System: 263.72TWh
Bitcoin: 113.89TWh
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GFS deposits: US$404.1 trillion
Bitcoin: US$1.1 trillion
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GFS energy per US$: 0.65 Wh
Bitcoin energy per US$: 103.53 Wh
And this is calculated just for the value of deposits, if we do it again for number of transactions it's even more scathing.
We should do an attempt with just US dollars. It looks like there is about $40 trillion in actual physical/digital circulation (i.e. not investments in things like crypto, buildings, stocks).
Driving even an electric vehicle uses ~250-300 Wh per mile (we can round down to 250Wh).
Bank of America, Chase, Wells Fargo, and Citigroup have about 738k (we can round down to 700k) employees and the average US commute is 32 miles (we can round down to 25). We'll assume ~235 days of work a year.
25 * 0.250 * 700000 * 235 = 1,028.1 TWh to commute for bank employees of the top four US banks per year
Which is about 25.7 Wh / $. We can safely assume this is significantly lower than reality already since we only counted the top four US banks and rounded all of our figures down. This also doesn't count any other industry required to keep USD working (like datacenters, as referenced in the paper you linked).
Edit: I'm not trying to prove you wrong or anything, I'm just genuinely curious if this "bitcoin is worse" statement is correct.
Your calculation comes out to 1.028 TWh
1 TWh = 1,000,000,000 KWh
Commute: 1.028 TWh
Data centers: ~3.3TWh per trillion (for USD) = 132 TWh
ATMs: 470,135 independent in the US (1.27MWh each per year) = 0.597TWh
Banks: ~98,000 in the US (PDF wasn't clear, using 60MWh each per year) = 5.88 TWh
Card networks: ~1TWh/yr (just assuming "half" of global)
Total: 140.5TWh/yr
https://data.worldbank.org/indicator/FB.CBK.BRCH.P5?location...
https://blog.sfgate.com/lifestyle/2020/08/31/its-electric-ho....
I think your calculation of 3.5 Wh/$ is closer to the real number. When I put $70Tn instead of $404Tn in I get 3.71Wh/$