The minimal number of dynamical degrees of freedom in regularised scalar field theory scales with area, governed by the count of distinct normal-mode frequencies below the ultraviolet cutoff.
A covariant entropy conjecture
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Worldsheet analysis shows that string theory effective theories obey UV/IR scaling relations between Wilson coefficients and vacuum energy, producing holographic bounds invisible to standard effective field theory.
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Area Scaling of Dynamical Degrees of Freedom in Regularised Scalar Field Theory
The minimal number of dynamical degrees of freedom in regularised scalar field theory scales with area, governed by the count of distinct normal-mode frequencies below the ultraviolet cutoff.
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String theory in the infrared
Worldsheet analysis shows that string theory effective theories obey UV/IR scaling relations between Wilson coefficients and vacuum energy, producing holographic bounds invisible to standard effective field theory.