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Spectral Neutronics

Closed-form eigenexpansion of the neutron transport operator over a Riemann-anchored basis.

Classical neutronics discretizes phase space and samples with Monte Carlo. Spectral neutronics instead projects the Boltzmann transport operator onto an orthogonal basis whose statistics are known in closed form.

The result is an O(N³) dense linear algebra problem on commodity silicon rather than a variance-limited stochastic sampling problem on HPC clusters.

Convergence is deterministic in N and γ, and the invariant constants derived from ζ do not drift under grid refinement.

// related concepts

Monte Carlo vs Analytical Closure

Why stochastic sampling is not the only path — and why analytical closure changes the deployment economics of advanced reactors.

Nontrivial Riemann Zeros

The complex zeros of ζ(s) lying on the critical line Re(s) = ½ — the skeleton of the spectral operator.

TRISO Fuel

Tri-structural isotropic particles — the poppy-seed-sized fuel form at the core of modular high-temperature reactors.