Wavelets, MERA, and Holography
summary
Claims that wavelet bases map exactly onto a MERA-like tensor network built from repeated 2x2 unitary gates and that choosing gate angles gives known wavelets — for example theta = 30° yields D4 (Daubechies-4) coefficients. The construction implements scaling functions plus orthogonal wavelets, builds a direct-sum tree of smoothed modes for 1D single-particle quantum mechanics, removes block-edge discontinuities and preserves locality while producing the expected completeness and fractal-like fixed-point scaling.
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