ℏE : an action constant for quantum economics

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Abstract

This paper introduces the concept of an economic action constant, denoted ℏ E , as a structural analogue to Planck’s reduced constant ℏ in quantum mechanics. Building on canonicalquantization, we define ℏ E as the fundamental scale of irreducible uncertainty in macroeconomic dynamics through non-commuting observables ( ˆX, ˆPX ), derive uncertainty relations and a semi-classical limit, and study spectral properties under a double-well economic potential. Numerical simulations show that ℏ E governs regime transitions between deterministic, probabilistic, and highly unstable dynamics, with topological changes in phase-space and bifurcations emerging under harmonic modulation of ℏ E . We propose a systemic economic interpretation linking the magnitude of ℏE to expectation coordination, institutional stability, and structural volatility, and provide historical analogies (post-war reconstruction, speculative bubbles, systemic crises). We finally outline an empirical strategy to estimate ℏE from macro time series and agent-based simulations, opening a path toward a taxonomy of economic regimes under radical uncertainty.

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