Monte Carlo Neutron Transport — stochastic particle tracking L1-360

Nuclear EngineeringMCNP / OpenMC continuous-energy MC transportδ=10 · hardL_DAG = 3.5📋 Stub — not mineable

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Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

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Forward model E

< f >= E_{s} o u r ce [in t f (t a u) e x p (- in t_{0}^{t} a u σ_{t} d s) p s i (t a u) d t a u]; es t ima t e d v ia M o n t e C a r l o

Monte Carlo Neutron Transport — stochastic particle tracking forward model.

L-DAG

L.sample_source -> L.track_particle -> L.score_tally -> int.stochastic

L.sample_sourceL.track_particleL.score_tallyint.stochastic

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 800

Statistical convergence O(1/sqrt(N_histories)); bias via biased sampling; ill-posed for very deep penetration.

Solvability C

Solver class:: MCNP6, OpenMC, Serpent
Convergence rate q:: 0.5
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.