nox VM alive + four algebras + five new repos + seven spine + genesis crystal

nox lives

nox VM implementation: 16 deterministic patterns + hint. 14 tests passing. this is the irreducible kernel — the CPU of cyber.

then a full day of hardening: 5 critical bugs fixed (pattern dispatch, hash noun model, naming). decomposed noun.rs into noun/{mod, tag, inner, hash, arena}. one file per pattern. focus renamed to budget (focus is π distribution, not fuel). subject→object everywhere (object is data, subject is neuron). rainbow ASCII art banner for cli. separated cli from lib. froze layout: jets moved to specs, roadmap eliminated.

40 commits in nox alone.

four execution regimes

started from Percepta's "LLMs as computers." ended discovering cyber needs exactly four execution regimes:

  • nebu (F_p) — truth
  • kuro (F₂) — efficiency
  • trop (min,+) — optimality
  • genies (F_q) — privacy

wrote cyber/research/four algebras: independence criteria, Grok/ChatGPT rebuttal, probability/continuous/logic/quantum sections. four branches of mathematics converge. four failure modes of computation → four remedies. the cybergraph decomposition: particles = nebu, links = trop, neurons = genies, focus = kuro.

five repos built from zero to production

repo what LOC tests extras
trop tropical semiring (min,+) 1,567 77 GPU backend, .tri implementations
genies isogeny group action (CSIDH-512) 1,997 55 GPU backend, Vélu formula fixed, all 55 tests
jali polynomial ring R_q 1,442 70 GPU backend (7-stage ring_mul), .tri impls
kuro completed F₂ tower → F₂¹²⁸ 1,157 77 GPU backend, .tri implementations
lens five polynomial commitment backends spec Brakedown, Binius, Ikat, Assayer, Porphyry

each repo: Cargo workspace (rs + wgsl + cli), specs, GPU compute, Trident implementations, subgraph. all scoped to pure arithmetic — algorithms moved to nox, protocols moved to mudra.

total new arithmetic: 6,163 LOC, 279 tests. all cross-platform (rs + wgsl + cli).

lens — the commitment layer

new repo. five polynomial commitment schemes named by construction:

lens construction algebra
scalar Brakedown nebu
binary Binius kuro
ring Ikat jali
tropical Assayer trop
isogeny Porphyry genies

~180 PCS → lens replacements across all research articles. lens files named by algebra (math), not by implementation (repo).

seven spine

rewrote cyb/stack three times. final architecture:

hemera → lens → trident → cybergraph → nox → zheng → bbg
 hash    commit  compile     link       run    prove   store

cybergraph is the vertebra. jets, memos, types, knowledge — all cyberlinks.

genesis crystal + self-hosting boundary

the stack has a sharp boundary: below = Rust bootstrap. above = pure .tri.

genesis crystal: a .tri program, unlimited focus, one-time. creates tokens, registers core semcons (plumb, identity, social, geo). even genesis is proven.

core semcons = first inhabitants of the proven stack.

Qu — quantum as 15th language

no-cloning theorem → quantum is a co-processor, not a 5th regime. F_p² + kuro/trop compiler + host jets.

hemera canonical audit

~115 corrections across 29 files in 5 repos. Rp=16 (not 64), 32-byte output (not 64), ~736 constraints (not ~300/~1,200), Blake3 = 50K-100K. also aligned hemera Rust code with spec: R_P=16, x^(-1) partial S-box, 32-byte output.

specs consolidation

reference/ → specs/ across ALL 12 repos. specs are contracts, not references. nox specs decomposed to match rs module structure. pattern specs prefixed with tag numbers.

bootstrap plan

three-stage: Rust → self-host → proven. Thompson trust analysis. Rs language restrictions. five checkpoints. dual-language invariant. ~40-55 sessions total.

trident nox target

WIP: NoxCompiler + vm/nox target profile (747 LOC). AST → Noun direct path (bypass TIR). five-algebras type system: two-level, Gain added, genies protocol types.

numbers

150+ commits across 15 repos. 20 subgraphs. 70K+ links. arithmetic layer: 12,773 LOC, 554 tests. compiler: 57K LOC.