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Investigate the connection between Rogers-Ramanujan identities and quasicrystal diffraction patterns.

July 29, 2026Open Access

Rogers-Ramanujan Identities Link Partition Theory to Quasicrystal Diffraction Peaks — E8 Intelligence Research

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Finding reveals how Rogers-Ramanujan identities encode diffraction peaks in quasicrystals, indicating a surprising connection to partition theory.

Investigate the connection between Rogers-Ramanujan identities and quasicrystal diffraction patterns.
Analyzed Fourier peak positions in quasicrystals using q-series lattice sums.
Derived relationships from Rogers-Ramanujan identities involving wavevector intervals proportional to √5.
Identified that exponents n^2 and n^2+n yield diffraction peaks corresponding to wavevectors related to √5.
Established that modulus 5 in product terms generates pentagonal symmetry in quasicrystalline structures.

Andrew Stewart Caldin (2026) studied this question.

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Finding reveals how Rogers-Ramanujan identities encode diffraction peaks in quasicrystals, indicating a surprising connection to partition theory.