What does this equation mean?

where $B_0$ is the bandwidth at reference year $t_0$ and $\tau$ is the doubling time implied by the data. Solving for $\tau$ from the two JEDEC anchor points gives $\tau = \frac{t_1 - t_0}{\log_2\!\left(B_1 / B_0\right)} = \frac{2025 - 2022}{\log_2(2.0 / 0.82)} \approx 2.3 \ \text{years}$. Extrapolated naively, ten more years at that doubling time — roughly 4.3 further doublings — would put per-stack bandwidth near 39 terabytes per second by 2035. That number should not be believed as stated, and the reason it should not be believed is itself the analytically interesting point. A two-point fit is not a trend; it is a line drawn through the only two data JEDEC has actually ratified. And it runs well ahead of the general DRAM-and-interconnect bandwidth scaling documented across two decades of hardware by Gholami and colleagues, who report peak server FLOPS scaling at roughly 3.0 times every two years against DRAM bandwidth scaling at only 1.6 times and interconnect bandwidth at 1.4 times over the same interval [ 13 ] . Apply that slower, broader-based 1.6×-per-two-years rate to the same 2025 starting point instead, and 2035 bandwidth lands closer to 21 terabytes per second per stack — almost half the naive HBM-specific extrapolation.