💫 hexa-cern

hexa-cern — n=6 sigma-cascade 6-order benchtop accelerator (100 MeV / 1 GeV/m, mini + parent + classical 3-pillar).

A petite, peer-of-Lumière standalone repo from the need-singularity org. Where Lumière takes the camera/character axes, hexa-cern takes the accelerator axis: three pillars distilled from the n6-architecture physics domain into a single MIT-licensed bundle.

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§ Why — benchtop CERN

LHC fills a 27 km tunnel for 7 TeV. DESY runs a 1 GeV/m laser-plasma prototype on a research-lab footprint. hexa-cern's design target is a benchtop σ-φ=10 GeV/m continuous-mode accelerator at 100 MeV total, threaded by the n=6 perfect-number lattice (σ(6)=12, τ(6)=4, φ(6)=2).

The design ceiling — what the spec claims if Stage-1+ empirical builds confirm the σ-cascade — is 6 orders of practical change vs current tech:

effect	LHC/DESY current	hexa-cern design ceiling
precision	1.0 unit	σ-φ = 10× gain
throughput	1.0×	σ² = 144×
energy cost	100%	1/σ ≈ 8.3%
equipment size	1.0 L (or 27 km)	1/(σ-φ) = 0.1 L benchtop
error rate	1%	1/σ² ≈ 0.7%
lifetime	1 year	σ·τ = 48 months

This is the why: a CERN you can put on a bench, drawn from the same n=6 invariant that threads the rest of the HEXA family.

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§ Verbs — 3 pillars

hexa-cern <pillar>            description                                  status
─────────────────────────────────────────────────────────────────────────────────────
hexa-cern mini                HEXA-MINI-ACCEL                              SPEC-ONLY
                                benchtop laser-plasma 100 MeV / 1 GeV/m
hexa-cern parent              HEXA-PACCEL                                  SPEC-ONLY
                                integrated parent particle accelerator
hexa-cern classical           HEXA-CLASSIC-ACCEL                           SPEC-ONLY
                                classical-mechanics baseline reference

Plus utility subcmds:

hexa-cern status              0/3-wired pillar table + verdict + caveats
hexa-cern selftest            3-pillar sentinel sweep
hexa-cern --version           print version
hexa-cern --help              full usage

Pillar specs live under <pillar>/doc/:

• mini/doc/mini-accelerator.md
• parent/doc/particle-accelerator.md
• classical/doc/classical-mechanics-accelerator.md

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§ Verification + Status

Status

specs only, .hexa CLI TBD. 3-pillar bundle: HEXA-MINI-ACCEL (벤치톱 100 MeV / 1 GeV/m laser-plasma) + HEXA-PACCEL (integrated parent) + HEXA-CLASSIC-ACCEL. LHC 7 TeV/27km, DESY 1 GeV/m baseline에 대한 n=6 sigma-cascade 6-order 비교 후보.

v1.0.0 ships:

• 3 pillar specs (.md, extracted from n6-architecture@c0f1f570)
• a placeholder cli/hexa-cern.hexa dispatcher (mini / parent / classical each prints spec-only — TBD)
• a tests/test_selftest.hexa verb-count check (3 pillars expected)
• this README

What it does not ship: actual particle acceleration, Geant4/MAD-X bridge, real-time beam diagnostics, LHC/DESY data ingestion. The σ-cascade 6-order claim is a design-target ceiling, not a measurement.

Verification

• See docs/cern_baseline.md for the LHC 7 TeV/27 km vs DESY 1 GeV/m vs HEXA σ-φ=10 GeV/m comparison table.
• Empirical wiring (laser-plasma sandbox, parent integration, classical baseline solver) is deferred to Stage-1+ benchtop builds.

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§ Install

# (placeholder — hx package manager TBD)
hx install hexa-cern

# or clone directly:
git clone https://github.com/need-singularity/hexa-cern
cd hexa-cern
hexa run cli/hexa-cern.hexa status

Cost (Mac local): $0 — placeholder dispatcher and .md specs only.

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§ Cross-link

dependency / cousin	repo	role
SC magnet substrate	need-singularity/hexa-rtsc	superconducting magnet primitive
cousin (PET cyclotron, antimatter)	need-singularity/hexa-antimatter	parallel acceleration use case
Stage-3 propulsion dependent	need-singularity/hexa-ufo	downstream propulsion consumer

Provenance: extracted from n6-architecture at SHA c0f1f570 on 2026-05-06.

Sister repo (peer extraction): need-singularity/lumiere — camera-filter + hexa-main-character apps-axis.

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§ License

MIT — see LICENSE.

Copyright (c) 2026 need-singularity (박민우 nerve011235@gmail.com)