$\hbar_E$: an action constant for quantum economics
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912568475385856 |
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| author | Spring-Ragain, Hugo |
| author_facet | Spring-Ragain, Hugo |
| contents | This paper introduces the concept of an economic action constant, denoted ___ E , as a structural analogue to Planck's reduced constant ___ in quantum mechanics. Building on canonical quantization, we define ___ E as the fundamental scale of irreducible uncertainty in macroeconomic dynamics through non-commuting observables ( X, PX ), derive uncertainty relations and a semi-classical limit, and study spectral properties under a double-well economic potential. Numerical simulations show that ___ E governs regime transitions between deterministic, probabilistic, and highly unstable dynamics, with topological changes in phase-space and bifurcations emerging under harmonic modulation of ___ E . We propose a systemic economic interpretation linking the magnitude of ___ E 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 ___ E from macro time series and agent-based simulations, opening a path toward a taxonomy of economic regimes under radical uncertainty. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02647 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $\hbar_E$: an action constant for quantum economics Spring-Ragain, Hugo Physics and Society This paper introduces the concept of an economic action constant, denoted ___ E , as a structural analogue to Planck's reduced constant ___ in quantum mechanics. Building on canonical quantization, we define ___ E as the fundamental scale of irreducible uncertainty in macroeconomic dynamics through non-commuting observables ( X, PX ), derive uncertainty relations and a semi-classical limit, and study spectral properties under a double-well economic potential. Numerical simulations show that ___ E governs regime transitions between deterministic, probabilistic, and highly unstable dynamics, with topological changes in phase-space and bifurcations emerging under harmonic modulation of ___ E . We propose a systemic economic interpretation linking the magnitude of ___ E 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 ___ E from macro time series and agent-based simulations, opening a path toward a taxonomy of economic regimes under radical uncertainty. |
| title | $\hbar_E$: an action constant for quantum economics |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2509.02647 |