Abstract
The Origin of Life contains a profound cosmological paradox: terrestrial biology relies exclusively on left-handed (L-enantiomer) amino acids, whereas pristine carbonaceous chondrites—such as the Hillsborough meteorite—exhibit a symmetric, 50:50 racemic mixture. Standard biochemical models treat this homochirality as an accidental, stochastically amplified event, or rely on abstract multi-dimensional string typologies lacking verifiable, hardware-level physical mechanisms.
This paper resolves the "Chirality Paradox" from first principles using the Dimensionally Extended Holographic Projection (DEHP) model and Topological Substrate Mechanics (TSM). We define spacetime as a physical, continuous, two-dimensional viscoelastic phase fluid substrate (z=0) possessing intrinsic density, viscosity, and non-linear shear thresholds. Three-dimensional molecular matter is modeled as a macroscopic volumetric rendering of localized vertical wave displacements (z>0) driven by the non-linear steepening of a fundamental sine wave field.
We show that molecular chirality is determined by the localized kinematic vorticity tensors (\(\Omega _{\alpha \beta }\)) and angular momentum transport within the 2D fluid sheet, anchored directly to Planck's constant of universal action (\(h\)). In unconstrained interstellar deep space, the background macro-rotational velocity vectors zero out, preserving a symmetric racemic state. Conversely, within a planetary matrix, macro-rotational engines induce a continuous, directional Coriolis-Substrate coupling. This coupling acts as a physical, hardware-level structural tie-breaker. By scaling localized micro-vorticity against the fundamental Planck frequency limit (\(\omega _{\text{Planck}}\)), we derive a resilient topological energy gradient (\(\Delta E_{\text{DEHP}}\)) that breaks the mirror symmetry of emerging \(z>0\) wave projections, driving prebiotic synthesis toward the L-conformation. Finally, we outline an empirical validation pathway utilizing high-frequency, Gallium Nitride (GaN)-driven concentric transducers to artificially amplify this local vorticity ratio in laboratory settings.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
Eckes, Christopher L., "Resolving the Chirality Paradox Planck-Scale Substrate Unification: Deriving Biomolecular Homochirality via Viscoelastic Substrate Vorticity and Action Transport", Technical Disclosure Commons, (July 20, 2026)
https://www.tdcommons.org/dpubs_series/11054