"The stone that the builders rejected has become the chief cornerstone."Ā
Ā (Ps 118:22, NRSV)
Published March 16, 2026 | Version v1.2 | https://doi.org/10.5281/zenodo.19045522
Technical note release of PQC (Probably Quasi Crispness): An Information-Theoretic Quantum Security Protocol Design (v1.2 ā Enhanced). This record includes the full research paper PDF and its appendix notebook, ensuring transparency, reproducibility, and compliance with open science principles under the Apache 2.0 license. The v1.2 update introduces probabilistic cliff (triple resonance), causality quarantine (buffer-based validation), adaptive bifurcated security models (Swift/Deep), and explicit resource defense (O(1) filtering), strengthening packet integrity and resilience across diverse environments.
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