BSI is a rate, not a bill. It is today’s miner revenue (subsidy + fees) taken at an annual run-rate and divided by today’s market cap — read it the way you read a yield, not as an amount Bitcoin settles once a year. Nothing here is a total actually paid over any past twelve months, and the scenario figures are likewise the rate that would apply at that moment, not a forecast of a year’s spending.
Price cancels: both sides of the ratio scale with price, which is why the halving figures need no price forecast.
Today decomposes into 0.819% from the subsidy (halves at each halving) and 0.006% from fees (does not). The scenario is 0.819 ÷ 2^halvings + 0.006 × fee multiple. Halving years are approximate: ~Apr 2028, 2032, 2036. The fee slider is log-scaled, because the interesting region is 1–40×.
The 0.42% carries one assumption: fees held flat at today’s share. The subsidy halves on schedule and price cancels out of the ratio, so the only thing that could move that figure is fee revenue growing — which is exactly what the fee dial lets you test. It is arithmetic under a stated assumption, not a forecast.
Bases differ between sources and are labeled per row: Hasu et al. quote share of network value; Alden and McAvity quote share of market cap; the gold figure is an annual cost-of-security estimate. Close but not identical — we do not silently merge them.
Two sources are on a different ruler entirely. Hummer and Drake quote the one-off capital cost of attacking Bitcoin as a share of market cap — a stock. BSI is annual miner revenue as a share of market cap — a flow. They are not comparable and are never summed or plotted together: those two carry their own axis, below their own divider. The ~0.4% and ~0.5% positions on that axis are ours, derived from their dollar figures over the ~$2T market cap their arguments assume; the 0.1% floor and the $8B/$10B costs are quoted.