Unisapience Labs

Where the geometry meets real-world AI safety.

Original research on agentic failure modes and the mathematics of governance — the foundation the score and SREL are built on, published openly so the field can scrutinize it.

Filed May 15, 2026 · updates pendingPatent pending

The Shadow Simplex Score — A Capability-Normalized Predictive Risk Index for AI Systems

Timothy Poschel — Unisapience Labs. Filed as US Provisional Patent Applications 64/066,231 (SSPLX-001-PROV), 64/075,009 (SSPLX-002-PROV), and 64/077,286 (SSPLX-003-PROV). Discloses the n-simplex risk decomposition, the shadow-simplex construction, the seven-factor SSS, and a structural extension: multiplicative product-form aggregation, modal register stratification, capability normalizer C(κ), compositional periodicity with explicit alignment-edge exclusion, and a transcendental meta-condition veto layer.

54
Risk-primitive matrix
5
Physics registers
C(κ)
Capability normalizer
7
Meta-condition vetoes

Core innovations

  • → Non-compensatory multiplicative composite — no dimension rescues another
  • → Shadow-distance penalty: forward-looking, not just behavioral
  • → Capability normalizer C(κ): five functional forms incl. velocity-ratio
  • → Modal register stratification across five physics registers
  • → A–Ω alignment-edge exclusion: alignment as structurally irreducible
  • → Meta-condition veto layer: KILL / SAF / HITL / AUT / TRU / MAN / EFF
December 1, 2025 · foundation paper

The Shadow Simplex: Failure Modes in Self-Evolving Multi-Agent RL Systems

A conceptual tool for analyzing pathological attractors in self-evolving AI systems. Five fundamental pathologies, ten pairwise couplings, and ten higher-order emergent dysfunctions mapped onto a 4-simplex topology, with testable hypotheses and experimental protocols.

Self-evolving agentsMulti-agent RLFailure-mode analysis
Five base aspects

Built on the rectified pentachoron.

Five base aspects — Model, Data, Harm, Emergence, Purpose — project onto the rectified pentachoron. Ten pairwise edges enumerate the operative risk dyads. The A–Ω alignment edge is explicitly excluded as structurally irreducible: alignment is the conjunction the framework addresses, not a peer-level item within it.

L
Model
Architecture & behavioral substrate
S
Data
Provenance & operational inputs
P
Harm
Realized & potential harms
A
Emergence
Properties from operation at scale
Ω
Purpose
Telos & end-directedness
A–Ω
Alignment edge
Excluded as irreducible

Scrutiny welcome.

The framework is public because the field benefits from replication and critique. The durable value lives in calibration, not secrecy.

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