A Quantum-Financial Topology of Supply-Demand Imbalance via Non-Hermitian Stochastic Geometry

Natalia Tanyatia

No 4dzxp_v1, OSF Preprints from Center for Open Science

Abstract: "We present ÆEA, a trading algorithm that formalizes market mi- crostructure as a quantum stochastic process, where price-action is governed by a Lindblad master equation and supply-demand zones emerge as non-commutative gauge fields. By redefining classical technical indicators (e.g., ATR, RSI) as projective measurements in a 13-dimensional Hilbert space, we derive a proportionality principle: trades trigger only when the imbal- ance operator ℐ =̂ ∑𝑘 (𝑃̂ >66.6 − 𝑃̂ <33.3) satisfies ⟨Ψ|ℐ|Ψ⟩ = 2 ̂ , a Kronecker-delta condition that suppresses heuristic false pos- itives. Empirical backtests show 100% win rates (minus spread costs), revealing hidden topological invariants in price-data previously dismissed as “overfitting.”

Date: 2025-04-28
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Persistent link: https://EconPapers.repec.org/RePEc:osf:osfxxx:4dzxp_v1

DOI: 10.31219/osf.io/4dzxp_v1

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