A Universal Stability Criterion for Symbolic Complex Systems (USG)

Egypt,cairo

The Universal Stability Criterion (USG) project establishes a domain‑agnostic protocol that anticipates collapse in symbolic complex systems by detecting structural deviation before failure.…

Project Details

The Universal Stability Criterion (USG) project establishes a domain‑agnostic protocol that anticipates collapse in symbolic complex systems by detecting structural deviation before failure. Instead of relying on semantic correctness, USG extracts spectral invariants from n‑gram transition matrices and subjects them to controlled perturbations, producing a composite Stability Index that signals phase transitions toward rigidity or entropy collapse. This architecture is revolutionary because it shifts safety from reactive correction to proactive detection, offering a new safeguard for high‑stakes domains such as artificial intelligence outputs, legal frameworks, financial transaction sequences, and genomic data. The project is led by independent researcher Mohamed Samir Abd Elrahman Selim in Cairo, Egypt, and has advanced from theoretical formulation to preliminary computational demonstrations showing reliable early detection across text, code, and biological sequences. These results are archived and openly accessible in the permanent record [https://doi.org/10.5281/zenodo.18883274], with author identity verified via [https://orcid.org/0009-0001-2930-3609] and a growing citation record on [https://scholar.google.com/citations?user=IrKSLv0AAAAJ].

Theory of Impact

USG reduces catastrophic and existential risk from advanced AI by shifting safety from post‑failure correction to pre‑failure detection: symbolic systems such as large language models, financial transaction streams, or genomic sequences can appear valid until they suddenly collapse into rigidity (pathological repetition) or entropy (uniform noise). The causal chain is clear — USG extracts spectral invariants from transition matrices → controlled perturbations reveal deviation from stability → the composite Stability Index signals phase transition before collapse → brittle or deceptive systems are flagged and withheld from deployment → only structurally stable outputs reach critical domains → cascading failures in medicine, law, or finance are prevented → catastrophic or existential harms from advanced AI are mitigated. This proactive safeguard is documented in the open archive

People

Mohamed Samir Abdelrahman Selim

Team Member

Funding Details

Start Date: Mar 18, 2026
End Date: -
Expected Duration: 12 months
Funding Raised to Date: $0
Annual Budget: $50,000
Monthly Burn Rate: $4,200
Current Runway: -
Funding Goal: -
Funding Stage: Seeking first grant
Fiscal Sponsor: -

Track Record

My track record demonstrates consistent delivery of reproducible, open‑science outputs in AI governance and complex systems. I have published multiple frameworks establishing new stability:

A1M (AXIOM-1 Sovereign Matrix) for Governing Output Reliability in Stochastic Language Models

https://doi.org/10.33774/coe-2026-zzvhx

https://doi.org/10.5281/zenodo.19608960

https://huggingface.co/spaces/Samir333zoom/Axiom-1-Sovereign-Matrix

https://github.com/zoom333samir/Axiom-1-Sovereign-Matrix

https://www.researchgate.net/publication/413978478_AXIOM-1_A1M_A_Sovereign_Matrix

Grants Received– no grants recorded

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Funding Asks

Funding ask

Open

USG develops a domain-agnostic protocol that uses spectral invariants of n-gram transition matrices under perturbations to produce a Stability Index predicting structural collapse in complex symbolic systems.

Minimum

$25,000

Ideal

$50,000

How the money will be spent

Minimum: $25,000
Ideal: $50,000

Funds will be spent on:

Salaries: modest stipends for independent research and part‑time verification
Compute: cloud GPU runs and storage for stability experiments
Contractors: short‑term support for spectral analysis and external audit
Dissemination: documentation, open‑access hosting, and outreach to AI‑safety community
Contingency: reserve for unexpected costs

Discussion

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