← Back to article

Equation 8 · When Generation Becomes Free, Attention Becomes the Scarce Good

What does this equation mean?

GtG_t

Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

Read it piece by piece

GtG_t

Symbol G_t

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

Understand this part →

subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Understand this part →

How to interpret it

Read this expression with the definitions, units, and assumptions supplied by the article.

What the article says around this equation

This is bookkeeping, not a finding. Its only content is what it forbids. Simon’s point was that AtA_t is bounded by hours and by human processing capacity, and that this bound is not responsive to technology in the way that GtG_t is. If GtG_t rises by an order of magnitude, ϕt\phi_t falls by an order of magnitude unless cvc_v falls proportionally or AtA_t expands proportionally. Institutions are the mechanism by which societies have historically pushed on cvc_v . Nothing pushes usefully on AtA_t .

Read the equation in its article →

For background, read the article’s source list.

Return to When Generation Becomes Free, Attention Becomes the Scarce Good

Browse the mathematical compendium →