āHe spreads out the northern skies over empty space;
he suspends the earth over nothing.ā
ā Job 26:7
Published April 3, 2026 | Version v0.1 | https://doi.org/10.5281/zenodo.19393416
Wraparound extends prior Direct Shot work by folding 1D streams into higher-dimensional manifolds. At its core lies a 7D base structure with 15 edges, stabilizing lower-dimensional freedoms and enabling efficient contextual memory in artificial neural networks. This approach reduces computation, preserves semantics, and reframes learning as a problem of topological design.
Published April 18, 2026 | Version v1.3 - Refined | https://doi.org/10.5281/zenodo.19045522
Technical Note Release of PQC (Probably Quasi Crispness): An Information-Theoretic Quantum Security Protocol Design (v1.3 ā Refined).
This record includes the full research paper PDF and appendix notebook, ensuring transparency, reproducibility, and compliance with open science principles under the Apache 2.0 license.
The v1.3 update introduces: Safe Parsing Layer (low-level deterministic validation), Multi-Scale Resonance Extension (bifurcated adaptive models), Enhanced O(1) Resource Filtering (explicit packet defense). These refinements improve throughput, integrity validation, and resilience across diverse computational environments.
Published April 10, 2026 | Version v1.2 | Internet-Draft: draft-jang-pqc-chaos-resonance-00
This document specifies the PQC Protocol Version 1.2, transitioning the theoretical framework into a deployable network specification. It formalizes the Resonance Trinityāintegrating structured entropy, hardware-derived oscillator chaos, and isogeny resonance. Key mechanisms include Triple-Packet Resonance Enforcement for synchronization and O(1) Filtering for power-asymmetric defense. This draft reframes post-quantum security not as a computational race, but as a separation of signal from noise through direct one-to-one resonance setup.
Published March 9, 2026 | Version v5.1 | https://doi.org/10.5281/zenodo.18917719
This work presents Direct Shot, a constantātime execution model that bypasses dense matrix multiplication through direct coordinate reaching. The study is organized around three complementary pillars:
Appendix A ā Reproducibility: Jupyter notebook benchmarks and raw latency measurements, ensuring transparency and independent verification.
Appendix B ā Theoretical Framework: A numberātheoretic foundation involving elliptic curve isogenies, jāinvariants, Hecke operators, and spectral properties of the Riemann zeta function.
Appendix C ā Practical Applications: Dimensional interpretation and exponential sparsity, including experimental validation on the Rio Botanical Garden LiDAR dataset.
Together, these components demonstrate the empirical reliability, the mathematical inevitability, and the broader technological significance of Direct Shot. The work establishes Direct Shot as both a reproducible research contribution and a defensible innovation for realāworld applications in highādimensional sparse data processing.
Published February 20, 2026 | Version v3 | https://doi.org/10.5281/zenodo.18704766
This document acknowledges the error in presenting IVS as a universal cryptographic primitive. The author recognizes that the claim was unfounded and retracts it without reservation. This retraction specifically applies to the work previously published under DOI: 10.5281/zenodo.18704710. In pursuing what seemed right, I failed to listen to wiser counsel and became blinded by my own conviction. This declaration is therefore both a retraction and a confession of folly, made in the hope that transparency may serve as light for others. Nevertheless, the exploration of multi-dimensional chaotic pattern recognition remains a meaningful direction, and the research will continue in that domain.Ā