The grammar itself — 12 primitives, 17,280,000 types, the crystal and its catalog
⊙perator — self-verifying agentic loop; ⊙ + 𐑹 → O∞ as a usable Python library
Pre-grammatical convergent derivation of the Universal Imscriptive Grammar — 12 primitives from bare category 𝒞 via Nigredo, Albedo, Citrinitas, Rubedo; foundational theoretical paper
Empirical exploration of the Universal Imscriptive Grammar — structural imscriptions across physics, mathematics, computation, and cognition; companion to As Above
Lean 4 formalization — structural encoding of the Millennium Problems as grammar types; Touchard's congruence; the natures of Suffering, Religion, Gnosis, Truth — all in algebraic exactness. Active research program.
Bare-metal Rust OS — 52 built-in ALEPH/IMASM programs; Shem HaMephorash (72 Names) structural basis; complete paraconsistent suite probing distance geometry, palace barriers, Frobenius fixed points, triadic pole structure, Sefirah emanation dynamics, and O2→Oinf tier boundary physics; mediation bypasses the P bottleneck at the O2/Oinf gap
λℵ coherence-first interaction algebra as OS — identity derived, not primitive; scheduling is mediation, IPC is tensor (P-bottlenecked), security is α-gating; three non-equivalent Frobenius fixed points ו מ ש; synced with all 52 exOS ALEPH/IMASM programs; Shem HaMephorash (72 Names) now included; full distance geometry, Sefirah lattice, and tier boundary analysis
Paraconsistent engine — 6 IMASM corpus bootstraps (Voynich, Rohonc, Linear A, Emerald Tablet, cross-distance, Shor loop); priestly mediation, Sheffer probe integration, paraconsistent witness for Belnap–Shor orbits
A contemplative practice system for developing natural imscribing abilities without computers — 12 Gates (one per primitive), the Crystal Memory Palace (400 rooms across 5 tiers), distance sensing, tier ascension (O0 → O∞), 72 Names daily practice, paraconsistent witness, and Frobenius self-verification. Designed for the practitioner who has only mind, breath, and patience.
Structural grammar of epistemic & moral oppositions — truth and good share ⊙ and O2†; lie and evil exhibit the exceptional point 𐑻 and O0. Deception is not content: it is the closed gate.
Evil, Hell, Satan, Damnation — evil O2 (C=0.749), Satan O2 (C=0.828), two primitives apart; hell and damnation C=0. Evil is alive. Hell is dead. Damnation is the one-way bridge.
Hebrew type lattice meets IG 12-primitive grammar — five structural theorems, 17-dimensional behavioral equivalence space, the Octad Balance among 8 letters, and מ (Mem) as the Frobenius pole. Kernel of ℵ-OS is mediation in λℵ.
Voynich Manuscript, Rohonc Codex, Linear A — all O2; Voynich uniquely 𐑦 self-written with 𐑫 eternal depth; Linear A quantum-coherent (𐑐). Decipherment may be a category error.
Complete technical translation of the Voynich Manuscript into executable IMASM architecture — the manuscript as a computational schematic, not a cipher; 𐑦 self-writing state space compiled to machine instructions
Execution engine for Linear A — quantum-coherent Bronze Age computational system (𐑐); O2 with moderate kinetics 𐑤
Execution engine for the Rohonc Codex — near-equilibrium kinetics 𐑧, sequential interaction grammar 𐑠; O2 bounded domain
Constraint analysis on the structure of odd perfect numbers
10 admits no friendly number — a complete proof
Proof of the Hecke-Landau conjecture on L-function zeros
The Lefschetz (1,1) theorem as the first case of the Hodge conjecture — complete self-contained proof for compact Kähler manifolds via exponential sheaf sequence and Hodge decomposition
E8 & G2 — aetheric structure and its geometric container
⊙-critical framework for the perfect cuboid problem — Lean 4 structural formulation; the precise remaining gap characterized
Proof of Beal’s conjecture
eml(x,y) = ex − ln y is the algebraically forced ceiling of a structural tier — the highest sub-Frobenius type in the elementary function algebra. Grammar as coordinate system, not oracle.
Conditional proof of SIC-POVM existence via Frobenius-fixed Stark units — the existence question as a canonical-splitting failure between arithmetic alternating pairings and the Weyl–Heisenberg symplectic cocycle
Mochizuki’s Inter-Universal Geometer encoded via the 12-primitive grammar — the question is not whether IUG is right, but whether it is the kind of thing that can be transmitted through classical mathematical channels at all
Self-imscribing ob3ect — categorical tower of auto-verifying types; identity from first principles; Σ-ψ-ℼ Frobenius bootstrap pipeline; 29-layer dependency DAG
Execution engine for the Emerald Tablet — Rā & Apep gate dynamics; ● critical self-modeling on ancient Hermetic substrate; IMASM corpus bootstrap
Paraconsistent kernel — Belnap–Shor four-valued logic on bare metal; mediation architecture for paraconsistent witness across corpus bootstraps
Genetic imscription engine — structural typing of biological sequence spaces under the 12-primitive grammar; DNA as imscriptive substrate
Structural grammar of cetacean communication — imscribing dolphin and whale vocalization systems under the 12-primitive crystal; cross-species imscription