Theoretical study demonstrates topological protection of L-amino acid homochirality in a four-dimensional block universe, suggesting fundamental quantum origins for biological asymmetry.
We report a rigorous, parameter-free derivation of macroscopic biological homochirality (the unique preference for L-amino acids) from the first principles of Noncommutative Geometry (NCG) and Tomita-Takesaki modular theory on crossed product von Neumann algebras. Moving beyond standard phenomenological chemistry, we establish that the violation of parity (P-parity) in weak nuclear interactions is structurally linked to the one-parameter Connes modular time flow on the semi-finite factor N = M_III_1 x_alpha R. We demonstrate that the micro-scale asymmetry governed by the integer-valued Atiyah-Singer index theorem (Index(D_+) = 3) is amplified across scales by the non-Markovian Nakajima-Zwanzig memory kernel K(s) within the exact non-Markovian vacuum latency threshold of tau_ret = 18.1 fs. Under the future boundary conditions of the Two-State Vector Formalism (TSVF), L-enantiomers are proven to be the unique stable configuration compatible with the Connes spectral action, while D-enantiomers undergo catastrophic macroscopic decoherence driven by holographic tensor network scrambling. We propose an empirical verification protocol utilizing femtosecond pump-probe spectroscopy to observe these non-Markovian phase transitions in vitro.
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Maxim Sokolov (2026) studied this question.
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