Symbol α
α is part of the quantity the equation computes from the expression on the right.
Read this term in its guide →Published equation contexts
The first verdict is a genuine win for the theory. Every exponent measured is super-linear — > 1 at seven of the eight points — exactly where the long-range bound says a finite-velocity linear cone is not guaranteed and faster-than-linear growth is required instead, and the propagation outright violates the nearest-neighbour bound = 12e once drops below 1 [ 4 ] . Read against a naive short-range picture, the ion chain is unambiguously non-local. The second verdict tempers the first: the three competing long-range thresholds theory offers — a worst-case bound, a typical-state bound, and a free-particle bound — all sit above = 2 , while Richerme’s…
α is part of the quantity the equation computes from the expression on the right.
Read this term in its guide →Read it with the definitions, units, and assumptions supplied by the article.
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 53 · Crossed Fields
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
The first verdict is a genuine win for the theory. Every exponent measured is super-linear — > 1 at seven of the eight points — exactly where the long-range bound says a finite-velocity linear cone is not guaranteed and faster-than-linear growth is required instead, and the propagation outright violates the nearest-neighbour bound = 12e once drops below 1 [ 4 ] . Read against a naive short-range picture, the ion chain is unambiguously non-local. The second verdict tempers the first: the three competing long-range thresholds theory offers — a worst-case bound, a typical-state bound, and a free-particle bound — all sit above = 2 , while Richerme’s…
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