The transition from passive structural nanomaterials to active, information-processing metamaterials requires a cooperative convergence of chemical synthesis, quantum kinematics, and algebraic topology. In this treatise, we introduce the 3,6,9,12-tetrasubstituted chrysene lattice as a novel, programmable topological na...
C. Schaper· Annals of the Chrysene Forma...· 9 citations
The construction of macroscopic single-molecule architectures that combine coherent quantum transport with classical control remains limited by two thermodynamic obstacles: stochastic self-assembly in continuous manifolds and rapid thermal decoherence at ambient temperature. This work introduces the CohBit architecture...
C. Schaper· Annals of the Chrysene Forma...· 0 citations
The origination of biological complexity and intelligence presents persistent epistemological challenges when modeled exclusively inside continuous Euclidean probability spaces R^n that rely on expected-variance (H2) optimization. Continuous stochastic models remain highly effective for macroscopic ecological dynamics;...
C. Schaper· Annals of the Chrysene Forma...· 9 citations
The classical formulation of protein folding treats the polypeptide as a continuous chain free to explore an exponentially large space of dihedral angles. Levinthal’s paradox records the resulting temporal impossibility: an unguided search cannot reach a unique native structure in biologically relevant time. Continuous...
C. Schaper· Annals of the Chrysene Forma...· 2 citations
Generative models ordinarily evolve on continuous latent manifolds that lack hard topological boundaries. As a result, latent trajectories may migrate without algebraic obstruction into regions designated as unsafe. This paper constructs a discrete non-commutative framework in which such migration is rendered impossibl...
C. Schaper· Annals of the Chrysene Forma...· 0 citations
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