Quantum uncertainty conjecture for portfolio risk and returns

Let $c3_{risk}$ and $c3_{returns}$ denote the standard deviations of portfolio risk and returns, respectively, as defined in modern portfolio theory. Let $b6$ be a lower bound influenced by quantum-mechanical principles, potentially depending on Planck's constant $h$ through $b6(h)$. Quantum risk-return uncertainty conjecture. The product of these standard deviations should satisfy

$$\sigma_{risk}\sigma_{returns}\geq\zeta.$$

The proposed bound is motivated by an analogy with the Heisenberg uncertainty principle and is expected to be determined by the ground state of the measurement system under adiabatic conditions via the Schrödinger equation. Its validity and the precise dependence of $b6$ on $h$ are not established.