Measured over the past 4 years post-merge when ETH abandoned Proof of Work for good. Using Bitcoin’s Age:
BTC/ETH ~ T^4.44 with a rather decent
R2 0.79.
It’s a short interval in log time but:
Bitcoin measured in ETH power law exponent 4.44, measured in USD 5.68.
Ethereum has been behaving a lot more like fiat (4.44/5.68=0.782) than like Bitcoin (.218) since they abandoned what makes the blockchain strong.