Vol. 1 No. 1 (2026)

Published: 2026-07-31

Original Research (Research Articles)

Directional Excited-State Polarization in a 3,6,9,12-Connected Rectangular Chrysene Network: A Range-Separated Fragment Comparison with a Dibenzochrysene Benchmark

Charles D. Schaper, Ph.D.

459-475
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- REVIEW HISTORY
Computational Feasibility of a Rectangular Chrysene Network: Comparison with a Dibenzochrysene Kagome Benchmark

Charles D. Schaper, Ph.D.

437-458
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- REVIEW HISTORY
Electronic and Kinetic Feasibility of a 3,6,9,12-Connected Rectangular Chrysene Network for Pt-Assisted Hydrogen Evolution: A Conditional Comparison with a Dibenzochrysene Kagome Benchmark

Charles D. Schaper, Ph.D.

414-436
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Closed-Loop Inverse Design of Functional Polycyclic Lattices: A Physics-Aware Generative AI and Adaptive Control Framework in the Chrysene Tensor Space

Charles D. Schaper, Ph.D.

403-413
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Categorical Foundations of the Ic Manifold: Grothendieck Topoi, Intuitionistic Logic, and Functorial Galois Connections

Charles D. Schaper, Ph.D.

395-402
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Dynamical Evolution of the Ic Manifold: Thermodynamically Driven Recursive Cascades and Bijective Information Transfer

Charles D. Schaper, Ph.D.

386-394
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Topological Scission and Dirichlet Boundary Confinement in High-Risk Surgical Resection: A Deterministic Model for Preventing Cascading Organ Failure

Charles D. Schaper, Ph.D.

372-385
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Deterministic Topology of Market Microstructure: H-infinity Robust Portfolio Decoupling and Liquidity Phase Transitions in Discrete Tensor Spaces

Charles D. Schaper, Ph.D.

364-371
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Isomorphic Virtualization of the Ic Manifold: Hardware-Enforced Topological Scission and Deterministic Containment of Generative Automata

Charles D. Schaper, Ph.D.

352-363
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Topological Void Mapping in Actuarial Science: Pricing Systemic Cyber-Contagion via Dirichlet Boundary Conditions and Fibrated Tensor Spaces

Charles D. Schaper, Ph.D.

342-351
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Robust Geometric Confinement of Apoptotic Signaling Pathways: Bridging Stochastic Differential Equations and the Chrysene Formalism via H-infinity Inspired Molecular Splinting

Charles D. Schaper, Ph.D.

332-341
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Deterministic Navigation of Algorithmic Stablecoin Devaluations: An H-infinity Robust Control Framework over the Tc Liquidity Manifold

Charles D. Schaper, Ph.D.

322-331
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Topological Scission of the Chrysene Abiotic Loom: Dual Mastering, Structural Scaffolding, Sequential Catalytic Connectivity, and PCET-Enabled Prototype Enzyme Formation

Charles D. Schaper, Ph.D.

305-321
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Higher-Order Geometry of the Abiotic Loom: Axis Alignment, Pore Tethering, and Side-Chain Packing of Secondary-Structure Elements in the Chrysene Tensor Space

Charles D. Schaper, Ph.D.

292-304
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Geometric Validation of the Abiotic Loom: Discrete Morse Predictions versus PDB Secondary-Structure Statistics and Ramachandran Densities

Charles D. Schaper, Ph.D.

283-291
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The Abiotic Loom: Discrete Morse Theory and the Geometric Resolution of Levinthal’s Paradox in the Chrysene Tensor Space

Charles D. Schaper, Ph.D.

273-282
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Redox-Controlled Functional Differentiation of Dual-Chrysene Catalyst Families: The Hopane–Sterane Record across the GOE and NOE

Charles D. Schaper, Ph.D.

259-272
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Persistent Chiral Step-Defect of the Chrysene Lattice: Homochirality of Amino Acids, Sugars, and Membrane Lipids, and Consistency with the Meteoritic Record

Charles D. Schaper, Ph.D.

248-258
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Geometric Origin of the Photosynthetic Macrocycle: Dual-Chrysene Cage Rearrangement, 18 pi-Electron Conservation, and the 1.1 Ga Geoporphyrin Record

Charles D. Schaper, Ph.D.

233-247
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Kerogen as a Geometric Archive of the Chrysene Formalism: Macromolecular Aromatic Networks, Dimensional Signatures, and Metal Integration in Pre-Cambrian Shales

Charles D. Schaper, Ph.D.

220-232
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Differential Catalyst Geometries of the Dual-Chrysene Metamaterial: Hopanoid--Sterane Asymmetry and the Transition from Environmental to Endogenous Supply

Charles D. Schaper, Ph.D.

206-219
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The Universal Blueprint: One Encodable Topological Metamaterial to Explain the Origin, Intelligence, and Evolution of Life

Charles D. Schaper, Ph.D.

187-205
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Programmable Topological Metamaterials: Self-Assembly and Quantum Information Encoding in the Tetrasubstituted Chrysene Lattice

Charles D. Schaper, Ph.D.

177-186
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Deterministic Quantum Logic over the Ic Manifold: C2h Orthogonal Superselection, Aharonov-Bohm Phase Gating, and the Chrysene Isomorphism Theorem

Charles D. Schaper, Ph.D.

167-176
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- Review History
Topological Spectral Inversion: Resolving Isomorphic Divergence in Inverse Generative Therapeutics via the Discrete Dirac Operator within the Chrysene Formalism

Charles D. Schaper, Ph.D.

157-166
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Conjectures and Open Problems in the Ic Topos: Ramification, K-Theory, and Discrete Geometrization

Charles D. Schaper, Ph.D.

149-156
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- Review History
On the Foundations of Discrete Non-Commutative Topoi: Operator Algebras, Sequence Spaces, and the Bipartite Isomorphism

Charles D. Schaper, Ph.D.

135-148
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Algebraic Decoupling and Nilpotent Scission over the Chrysene Tensor Space: A Geometric Framework for Cryptographic Information Containment

Charles D. Schaper, Ph.D.

124-134
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Categorical Containment of Generative Models via Operadic Topoi over the Chrysene Tensor Space

Charles D. Schaper, Ph.D.

113-123
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- Review History
Geometric Quantization of Molecular Quantum Transport: The CohBit Chrysene Architecture for Ambient-Temperature Quantum-Classical Transduction.

Charles D. Schaper, Ph.D.

98-112
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- Review History
Beyond Maximum Likelihood: Deterministic Topological Engineering and H-Infinity Containment in Next-Generation Clinical Diagnostics

Charles D. Schaper, Ph.D.

88-97
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- Review History
The Chrysene H-infinity Veto: Supervisory Topological Control of Medical Generative AI

Charles D. Schaper, Ph.D.

78-87
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- Review History
Absolute Topos Containment in Clinical AI: Geometric Survival, Optimal Mass Transport, and H-infinity Governance via the Chrysene Tensor Space

Charles D. Schaper, Ph.D.

61-77
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- Review History
The Topological Origination of the Biosphere: Biogenesis, Molecular Mimicry, and Macroscopic Evolution via the Chrysene Tensor Space

Charles D. Schaper, Ph.D.

41-60
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- Review History
The Biological Ledger and the Geometric Mechanics of Survival via the Chrysene Formalism

Charles D. Schaper, Ph.D.

27-40
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Beyond the Continuum: The Topological Emergence of the Macroscopic Metric via the Chrysene Topos

Charles D. Schaper, Ph.D.

15-26
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The Chrysene Formalism: Axiomatic Foundations of a Discrete Non-Commutative Topological Space

Charles D. Schaper, Ph.D.

6-14
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- Review History

Editorials

The Axiomatic Foundations of the Chrysene Formalism: Universal Algebraic Geometry, Topological Survival, and the Mandate for Macroscopic Engineering

Charles D. Schaper, Ph.D.

1-5
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- Review History