Theoretical and Physical Boundaries of Lattice-Based Post-Quantum Cryptography: An Anatomical Critique of Post-Post-Quantum Taxonomy (Vol-VII)
Syed Muntasir Mamun
This seventh volume of the series establishes the first formal post-post-quantum taxonomy—a three-tier ontological and epistemological hierarchy that reclassifies all post-quantum cryptographic schemes according to the fundamental nature and justification of their security. The hierarchy progresses from computational (algorithmic hardness assumptions) through physical (thermodynamic, noise-engineered, and hardware-constrained irreversibility) to device-independent (information-theoretic guarantees independent of device implementation). Building directly upon the anatomical critiques, hybrid primitives (Vol II), QRAM-hardness (Vol III), parameterized adversary models (Vol IV), GKP-resistant countermeasures (Vol V), and NISQ empirical validation (Vol VI), we provide a complete reclassification of NIST PQC standards, hybrid protocols, and the novel primitives introduced across the series. Dedicated Mamun, SM (2026) ……………………………….1 Theoretical and Physical Boundaries of Lattice-Based Post-Quantum Cryptography: An Anatomical Critique of Post-Post-Quantum Taxonomy (Vol-VII) sections dissect the ontology (what security is) and epistemology (how security claims are known and justified) of each tier. K S C The taxonomy reveals that current lattice-based schemes remain anchored in the provisional computational tier, while the countermeasures developed in Vols III–VI elevate them into the physical tier. True device-independent security remains an aspirational frontier. Also available on Academia.edu: https://www.academia.edu/attachments/132771868/download_file?s=portfolio
•Jan 1, 2026•0 citations