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Equation 12 · Part 2 · The Vacuum Has a History: Symmetry Breaking as Speciation

subscript

SES_E
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

where SES_E is the Euclidean action evaluated on the classical solution that mediates the tunneling — the “bounce” — and A is a prefactor from fluctuations around that solution. The exponential dependence on the bounce action is the entire reason a metastable vacuum can be, for all practical purposes, permanent: a large action makes the exponent enormous and negative, suppressing the decay rate to a number that can be many, many orders of magnitude below one event per observable volume per age of the universe, without the vacuum being absolutely stable in any stronger sense. Coleman and De Luccia extended the calculation to include gravity in 1980, showing that gravitational corrections to the…

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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.

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Sources cited in the surrounding passage

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