Appendix A.25 · Digital Twin Particle Accelerator
Accelerator twin
A compact linac FODO as a living twin: geometry, fields, macroparticles, diagnostics, WHAT IF, and evidence. The chain is machine → field → particle state → trajectory → measurement → evidence — not a 3D model of a tunnel.
Thin-lens maps and a textbook RF kick. Not MAD-X, not GEANT, not the LHC. Predictive and experimental rungs stay open.
Validation ladder
A.25.1- 1Mathematicalheld
Thin-lens maps, RF ΔE = |q| V sin(φ), rigidity Bρ = p/|q|. Textbook transport, not a new law.
- 2Computationalheld
Kernel tracks a Gaussian bunch through a compact linac FODO.
- 3Benchmarkheld
EXP-P01–P05 are synthetic kernel checks. Not a measurement of any machine.
- 4Predictiveopen
No real accelerator is attached. WHAT IF is a differential on the twin, not an operations forecast.
- 5Experimentalopen
No beamline, no BPM. Level 4 orchestrator is not implemented.
- L1 Visualizationheld
- L2 Physics simulationheld
- L3 Digital twinheld
- L4 Research orchestratoropen
Living twin
A.25.2⟨E⟩
104.99MeV
γ
205.5
εx
0.30μm
orbit
0.73mm
loss
19.8%
ΔE/E
0.09%
macroparticle current
QF-1 · quadrupole · s=0.25 m · L=0.20 m · aperture 15.0 mm · k1=8.00 m⁻² · vacuum 2.0e-10 mbar
Injection 100.00 MeV · γ=195.7 · lattice 2.98 m. Compactness 0.693 is survival × orbit tightness, not quantum coherence.