Lead agent: Statistical Physicist
CRIT-01 RESOLVED: Psi and phi removed as state dimensions — they are observables computed from S_t, not independent variables. State vector reduced from 10D to 8D. Markov property preserved. Prevents DAE numerical instability.
CRIT-02 PARTIALLY RESOLVED: Jump kernel K(S,S') = rho * omega specified. Magnitude: tempered truncated power law. Direction: Boltzmann-weighted basin bias toward lower-energy attractors. T_eff temperature parameter remains undefined.
CROSS-002 RESOLVED: gamma_conf_effective uses sigmoid saturation — prevents [0,1] overflow without clipping.
CROSS-005 REJECTED: gamma_status wiring to A_3/A_7 rejected. G_status = 1 + 0.85*(D+P-1) = 1 when D+P=1 (identically), making it a zero-effect parameter. Double-counting with alpha_auth.
C7-1: Ito dynamics of Psi must be numerically verified (HIGH — will become a 11-session saga)
C7-2: phi=1-2*pi is a placeholder linear map, not derived from opinion dynamics
C7-3: r_min (minimum crisis jump radius) must be empirically grounded
C7-4: T_eff (Boltzmann temperature for jump direction) remains undefined
Session 7 was a maintenance session with outsized consequences. After 6 sessions of building parameters, the Statistical Physicist returned to repair the mathematical foundation that others had been building on. Four critical issues had accumulated; three were resolved.
The most important fix: removing Psi and phi from the state vector entirely. These two quantities — the PSI political stress composite and the polarization order parameter — had been listed as both independent state variables (dimensions 9 and 10) and as derived functions of the other state variables. This created a differential-algebraic equation system, violating the Markov property and causing potential numerical instability. The solution was clean: reduce S_t from 10D to 8D, treat Psi and phi as observable functions computed from the 8 remaining dimensions. The formula became mathematically well-posed for the first time.
The jump kernel was partially resolved. K(S,S') = rho * omega specifies the form: a tempered truncated power law for the jump magnitude (rho), and a Boltzmann-weighted directional bias toward lower-energy attractor states (omega). The temperature parameter T_eff — which controls how strongly the system is biased toward stability vs. exploring new states — remains undefined, a gap that persists through Session 14.
The gamma_status wiring was rejected: the proposed G_status function reduces to 1 identically when the dominance+prestige parameters sum to 1, contributing zero effect to any drift equation. This CROSS-005 issue — gamma_status as a ghost parameter — would remain open for the entire project's first 14 sessions, becoming a running open question.