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Equation 3 · Part 2 · The Bend an Elevator Cannot Fake

subscript

τi\tau_i
subscript

What this part means

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.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

Every clock in the story keeps its own proper time, τi\tau_i , defined operationally as whatever a specific atomic transition in that specific clock counts. No clock has privileged access to a universal “true” time; what a network of them can share is a coordinate time t , a bookkeeping label attached to the static or stationary reference frame the network agrees to compute in — for a terrestrial network this is realized in practice through conventions such as Terrestrial Time, never measured directly by any single instrument. A third notion, the reading of a distant or reference observer, is not automatically available at all: a bounded network has no clock sitting at spatial infinity, and…

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

Open the illustrated subscripts: which member of a family? guide →

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