The Chirality Theorem: Why Life is Left-Handed

Biological homochirality — the exclusive use of L-amino acids and D-sugars by terrestrial life — has long been considered a frozen accident. This paper demonstrates that homochirality is geometric necessity, not historical contingency. The fine structure constant α, which governs all electromagnetic interactions, encodes chirality through its derivation from triangular number architecture. The formula α⁻¹ = T(16) + (e/36 + T(16) + π)/(T(16) - φ) contains an asymmetric subtraction of the golden ratio φ that breaks left-right symmetry. This propagates to molecular geometry: the g- rotational state is favored over g+ by factor φ² ≈ 2.618. Since L-amino acid α-helices require g- at Cα, biological homochirality emerges as mathematical consequence. Any electromagnetic chemistry in any universe sharing these constants will exhibit the same handedness.