Photosynthesis and mitochondrial respiration are textbook biochemical inverses. This paper identifies a deeper symmetry: they share the same geometry. Both systems exhibit √2 scaling in their energy transport architectures. In photosynthesis, LHCII inter-pigment distances follow a √2 geometric series (mean error 4.76%, p 0.5) with √2-compliance of cristae morphometry across conditions (health vs disease, young vs aged). Cross-system universality: both LHCII and mitochondrial supercomplexes within the same plant cell should follow √2 scaling with comparable precision. Complex II inhibition should NOT reduce proton-motive force per electron, confirming its role as gradient bypass rather than gradient contributor.
Thierry Marechal (Sun,) studied this question.