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Equation 6 · Part 1 · An Optical Fabric Turns Off-Package Memory Into an Extension of the Die

Symbol B

BWoptBW_{\text{opt}}
BB

What this part means

B is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

Its job in the formula

B is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

That is a clean, falsifiable test in principle. In practice, computing L for the Photonic Fabric Module runs into a wall immediately, and the wall is worth describing precisely rather than waved past. BWoptW_{\text{opt}} is at least partially available — the module’s 7.2-terabit-per-second optical connectivity figure and the appliance’s 32-terabyte pooled capacity are both disclosed, even if the realized random-access figure specifically (as opposed to the module’s headline peak) is not. PoptP_{\text{opt}} is not available at all. Not in the chiplet-marketplace technical summary, not in Celestial AI’s own Hot Chips 2025 presentation, not anywhere on the corporate site that now forwards to Marvell’s.…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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