CLAIM 1
γ₁-Indexed Resource Floor Bands
The imaginary part of the first nontrivial Riemann zeta zero (γ₁ = 14.134725141734693) applied as the unit interval for memory pressure threshold bands. Novel: no prior art maps Riemann zeros to infrastructure capacity. The floors are not arbitrary — they encode the natural resonance of the number line applied to resource pressure curves.
CLAIM 2
Pre-Cascade Topology Reading
The engine triggers on approach-to-failure, not failure. Standard autoscalers (HPA, KEDA, VPA) react to crossed thresholds. This engine reads floor proximity — signed distance from current usage to nearest γ₁×n band — and signals the zone name before the threshold is crossed. Epistemic offense against surprise.
CLAIM 3
Named Threshold Zones with Response Classes
TOUCH → observe + list idle workloads. NEAR → park candidates, alert. BREAK → emergency eviction. BOUNCE → clearance to restore. This is doctrine with predetermined response classes, not just metrics. The taxonomy is IP independent of the floor math.
CLAIM 4
Unified Infrastructure + Equity Event Bus
Same γ₁ floor math, same TOUCH/NEAR/BREAK/BOUNCE taxonomy, same POST /mefine/tick endpoint — carrying both equity floor proximity events (stocks, ETFs) and infrastructure floor proximity events (containers, nodes). No prior art unifies financial + infrastructure floor tracking under a single mathematical framework.
CLAIM 5
WPA7MAS Continuous Live Scoring
MGATE×30 + CGATE×25 + RGATE×20 + HGATE×25 = composite mesh security score, computed every 60 seconds per namespace. Not a point-in-time audit — the exam never stops. Combined with γ₁ node floors: first compound infrastructure health score unifying physical resource floor proximity with mesh security posture in a single continuous live assessment.