Wavelet field decomposition and UV ‘opaqueness’

A bstract large body of work over several decades indicates that, in the presence gravitational interactions, there is loss localization resolution within a fundamental (∼ Planck) length scale ℓ . We develop general formalism based on wavelet decomposition fields that takes this UV ‘opaqueness’ into account natural and mathematically well-defined manner. This done by requiring local Lagrangian to be expandable only scaling parts (complete or, more version, partial) Multi-Resolution Analysis. delocalizes now mediated through opaque regions, inside which they are rapidly decaying. The regions themselves capable discrete excitations ∼ 1/ spacing. resulting effective Feynman rules, give regulated (perturbatively) unitary physical amplitudes, resemble those string field theory.