Mathematical framework analyzes prime distribution in an integer network, suggesting new underlying principles.
This paper proposes a new mathematical framework, Crystal Theory, which reinterprets integers as nodes in a three-dimensional octonary unit-cell network. Primes are positively defined as unstable states emerging at shell boundaries during radial lattice expansion. Main results include the intrinsic constant spectrum, the Recurrence Law, the Zhang Jian Periodic Table, and the E-set with its channel structure.
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jian Zhang (2026) studied this question.
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