Published February 3, 2026 | Version v1
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THE PRIME DOUBLE HELIX Deriving the Geometry of DNA from the Modular Sieve of Integers

Description

Biological structures, most notably DNA, frequently adopt a double-helical geometry. Standard
biology attributes this to chemical packing efficiency. Hydrodynamic Quantum Cosmology (HQC)
argues that this form is pre-determined by Number Theory. By mapping the integer sequence
onto a hexagonal lattice (Modulus 6), we demonstrate that all prime numbers (p > 3) collapse
onto two distinct vertical strands (6n ± 1). When subjected to the vorticity of the vacuum, these
strands form a Prime Double Helix. Furthermore, we propose the principle of Isotropy of Singularities,
arguing that all primes function as geometric nodes of identical “size,” acting as the
invariant pillars of the cosmic structure.

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