Fractional OAM charge ℓ=1.5 induces an optimal 67.5° GKP lattice rotation that reduces error rate 23.9× with <0.2% loss in Fisher information and yields 41% higher metrological capacity.
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Chiral simple current extensions on the worldsheet reproduce and generalize obstructions to gauging center one-form symmetries in 6d and 8d string compactifications while clarifying BPS particle requirements upon circle reduction.
Equidistribution of Hecke operators in large N CFT limits reduces the partition function to light-state Poincaré series with an immediate interpretation as sums over handlebody geometries.
Explicit dimension-dependent upper bounds on logarithmic codebook size for high-dimensional signal compression are obtained by refining Landau's lattice point estimates via uniform Bessel bounds and Abel summation.
Mereon 120 polyhedron exactly projects from the 600-cell under H3 ⊂ H4 symmetry, realizing E6, E7, E8 in its architecture.
citing papers explorer
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OAM-Induced Lattice Rotation Reveals a Fractional Optimum in Fault-Tolerant GKP Quantum Sensing
Fractional OAM charge ℓ=1.5 induces an optimal 67.5° GKP lattice rotation that reduces error rate 23.9× with <0.2% loss in Fisher information and yields 41% higher metrological capacity.
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String probes, simple currents, and the no global symmetries conjecture
Chiral simple current extensions on the worldsheet reproduce and generalize obstructions to gauging center one-form symmetries in 6d and 8d string compactifications while clarifying BPS particle requirements upon circle reduction.
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Holographic Equidistribution
Equidistribution of Hecke operators in large N CFT limits reduces the partition function to light-state Poincaré series with an immediate interpretation as sums over handlebody geometries.
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High-Dimensional Signal Compression: Lattice Point Bounds and Metric Entropy
Explicit dimension-dependent upper bounds on logarithmic codebook size for high-dimensional signal compression are obtained by refining Landau's lattice point estimates via uniform Bessel bounds and Abel summation.
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The Mereon System, the 600-Cell, and the Exceptional Algebras $E_6$, $E_7$, $E_8$: Exact Correspondence via $H_3 \subset H_4$ Symmetry and the Eigenform Loop
Mereon 120 polyhedron exactly projects from the 600-cell under H3 ⊂ H4 symmetry, realizing E6, E7, E8 in its architecture.