Research at Manipal Advanced Research Group (MARG) to study the dynamics of weakly bound quantum systems.

J. Oswald

최중빈

This study is an undergraduate-level exploratory research project investigating the physical conditions for long-lived quantum coherence in biological systems. We specifically focus on the tryptophan molecular networks within microtubules, as empirically reported by Kalra et al. (2022). Traditional Markovian models predict immediate quantum decay in warm biological environments. To address this limitation, this proposal adopts an open quantum systems framework with non-Markovian thermal bath characteristics. This project strictly focuses on numerical simulations rather than macroscopic cognitive behaviors. We utilize Python-based QuTiP frameworks and Hierarchical Equations of Motion (HEOM) to inverse-trace the effective parameter bounds (e.g., spectral density profiles, coupling strengths, and memory timescales). The goal is to identify the conditions that permit extended electronic coherence in the picosecond to nanosecond regime. As a prospective undergraduate researcher, the primary objective is to acquire rigorous computational skills and assist the host research group's ongoing simulations, integrating this exploratory project within the framework of the group's advanced research on open quantum dynamics.

Timothy C. Berkelbach, Michael Thoss

Andrew Stewart Caldin

FINDING: Posner molecule (Ca₉(PO₄)₆) quantum coherence evidence is contested; dynamical ensemble is not symmetric, undermining long-lived quantum information processing claims. | MATH: No new equations or constants derived; key structural fact: Ca₉(PO₄)₆ has 9 calcium ions, 6 phosphate groups, total 15 ions; symmetry group of isolated molecule is S₆ (order 720) but dynamical ensemble breaks this symmetry. | CONNECTION: No golden ratio, base-60, or crystallographic root system links found; the broken symmetry is generic, not tied to any special geometric ratio. | DEPTH: 3 — The finding is negative (disproves a specific quantum coherence hypothesis) and does not introduce new mathematical structure or constants. It refines understanding of molecular dynamics but does not advance universal mathematical geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Andrew Stewart Caldin

FINDING: The Posner molecule (Ca₉(PO₄)₆) — proposed as a biological quantum information processor — has a dynamical ensemble that is *not* symmetric, undermining claims of long-lived nuclear spin coherence for quantum cognition. | MATH: Molecular formula Ca₉(PO₄)₆; nuclear spin-1/2 ³¹P nuclei (6 per molecule); the dynamical ensemble symmetry breaking is characterized by the loss of permutation invariance among the six phosphate groups — the relevant group is the symmetric group S₆, whose irreducible representations decompose the nuclear spin Hilbert space (dimension 2⁶ = 64). The paper (arXiv:2108.08822v2) shows the time-evolution operator does not commute with all S₆ permutations, so the coherence lifetime is bounded by the asymmetric coupling terms, not the symmetric dipolar Hamiltonian. | CONNECTION: The number 6 (phosphate groups) relates to hexagonal symmetry (crystallographic point group 6/mmm), but the *broken* symmetry points to a lower-order subgroup — the root system A₅ (SU(6 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com