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ΦΨΔIPT View Paper (Zenodo) →
Patent Pending · 26 Applications Filed

Trust Decays.
Credentials Lie.
Δ Catches Both.

Five mathematical operators detect divergence between what credentials promise and what performance delivers.

Φ
Performance
Zero-start
Ψ
Credential
Decay
Δ
Divergence
|Φ-Ψ|

Five Operators

Formal definitions with convergence guarantees.

Φ
Performance
Zero-Start
Φ(0)=0 | Φ(t+1)=Φ(t)+w×(s-Φ(t))

Trust earned through behavior.

Ψ
Credential
Decay
Ψ(0)=1 | Ψ=Ψ×exp(-λ×s)

Starts high, decays on evidence.

Δ
Divergence
Gap
Δ=|Φ-Ψ|

The credential-performance gap.

IP
Propagation
Cross-Entity
IP=(Δ×exposure)×ω

Trust propagates across entities.

T
Convergence
Stabilization
T=Var(Δ)<ε

Trust stabilizes over time.

18
Days Earlier
83%
Precision
1.1%
FPR
26
Patents

Every Industry

Anywhere credentials and performance diverge.

Insurance
Dynamic trust scoring
Healthcare
Physician credentialing
Finance
Credit risk
AI Models
Validation drift
Compliance
Expose theater
Supply Chain
Vendor trust
PKI / SSL
Certificate trust

Publications & Patents

Peer-reviewed research archived on Zenodo. 26 patent applications filed.

View All Publications
Interactive gallery of peer-reviewed papers with DOIs
Patent Portfolio · 26 Applications Filed
B062-TPCTraining Provenance Chain
B061-GFTGraph Flow Trust
B060-AIDActive Interference Detection
63/953,054Merkle Kernel Governance
63/952,636Velado Phase Transition
63/951,960TPF Confidence Routing
63/949,477Triton GPU Kernel
63/948,782FlashAPCE + Velado Theorem
63/947,743APCE Attention Provenance
63/944,309Epistemic Load Balancer
63/932,010Conservation Law Enforcement
19/415,643Dual-Pathway Trust System
Contact
Rafael Velado — Founder, Δtomic Trust Systems

raf@atomic-trust.com