Quantum Mathematical Framework

# Quantum-Inspired Mathematical Framework

Our quantum-based mathematical models underpin SolarisAI’s MEV threat analysis:

1. Quantum Risk Evolution Model:

$$ \Psi(t) = \sum_{i} a_i \Phi_i e^{-i H_i t / \hbar} $$

1. Schrödinger-Based Dynamic Risk Prediction

$$ i \hbar \frac{\partial \Psi(x, t)}{\partial t} = H \Psi(x, t) $$

1. Eigenvalue Decomposition for Risk Minimization

$$H \Phi = E \Phi$$

1. Quantum Decoherence for Stability

$$D(\Psi) = \sum_{k} |c_k|^2 \rho_k$$