Defects twist to mimic particles—energy's geometric play.
The defects in cholesteric liquid crystals act like tiny kinks in a twisted material, behaving as fermions or bosons depending on how they move and combine, like dancers following rules that make them pair up or go solo. This shows how simple shapes in stuff like screens or soaps can create particle-like traits without real particles, where the twists preserve information as the material flows, much like waves in water carrying patterns without needing extra bits.
Uniphics derives defects in cholesteric liquid crystals resembling Majorana and Weyl fermions from spin wave mechanics in the ξM-field, where geometric constraints emulate from correlations C(x,y) ∝ g_ξM² / |x-y| exp(-t / τ_E) with g_ξM ≈ 0.303 and τ_E ≈ 2.68e-27 s creating braided trajectories that nest hierarchically, fermion-like statistics from odd N_opp opposite spin pairs lowering E_d,unbound,between ≈ N_opp g_ξM² / (4π r^2 f_spin t_flow) with N_opp ≈ 3 yielding antisymmetric wave functions, boson-like from even N_opp ≈ 2 symmetric, time flow t_flow = k / E_d,bound,effective maley (k ≈ 4.64159e18 J/m³) modulating state-space compression via Maley transforms preserving causality ∆t' = ∆t_source · (t_flow,observer / t_flow,source), negentropy J_neg ≈ -5.66e-21 J/K driving minimization of E_d,total = k via interference without quantization or microscopic degrees of freedom, matching PRX Life data on pathway stratification (0.1%) deterministically.
How might this geometric filter view inspire new designs for quantum materials in tech?
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Chapters 1–10 free:
uniphics.com/gallery/ and Uniphics Explained Simply PDF:
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