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The Historical Attractor Theory, Effective Historical Amplitudes and the Structural Domain of Quantum Interference

sergio leonardo Pradal

Published Feb 2, 2026• 0 citations
Publisher

Abstract

This preprint introduces an effective amplitude-based description within the Historical Attractor Theory (HAT) and establishes a structural criterion for the validity and extinction of quantum interference. The proposed historical amplitude is not a fundamental state function, but an operational construct that aggregates alternative histories compatible with a finite local historical budget. Quantum interference emerges naturally when historical closure is incomplete and disappears as saturation is approached, independently of environmental decoherence or collapse mechanisms. The framework reproduces standard quantum predictions within its domain of validity and provides a clear structural explanation for the quantum–classical transition and extreme regimes such as black holes. A real experimental context—matter-wave interferometry with massive molecules and nanoparticles—is discussed as an illustrative and potentially falsifiable application.

DOI
10.5281/zenodo.18452525

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This preprint introduces an effective amplitude-based description within the Historical Attractor Theory (HAT) and establishes a structural criterion for the validity and extinction of quantum interference. The proposed historical amplitude is not a fundamental state function, but an operational construct that aggregates alternative histories compatible with a finite local historical budget. Quantum interference emerges naturally when historical closure is incomplete and disappears as saturation is approached, independently of environmental decoherence or collapse mechanisms. The framework reproduces standard quantum predictions within its domain of validity and provides a clear structural explanation for the quantum–classical transition and extreme regimes such as black holes. A real experimental context—matter-wave interferometry with massive molecules and nanoparticles—is discussed as an illustrative and potentially falsifiable application.
We complete the structural closure of the Historical Attractor Theory (HAT) by analyzing the conditions under which quantum descriptions based on amplitudes and interference remain valid. We introduce the notions of historical density, local saturation, and incompatibility between histories, and show that these concepts impose intrinsic limits on the coexistence of alternative histories. Mass is reinterpreted as an extensive historical cost associated with the accumulation of persistent records. We demonstrate that beyond a critical saturation threshold, interference-based descriptions lose operational meaning independently of environmental decoherence. This work establishes the structural domain of validity of quantum descriptions and prepares the ground for the introduction of effective historical amplitudes.
We introduce the Historical Attractor Theory (HAT), a foundational framework in which physical reality is defined at the level of complete histories rather than instantaneous states. Within this approach, realizability is determined by a global criterion of historical stability, encoded in a scalar functional that orders histories according to their degree of openness. Physical reality corresponds to histories that satisfy a strict closure condition, suppressing incompatible alternatives without invoking fundamental time, dynamical collapse, or observer-dependent postulates. Quantum, classical, thermodynamic, and geometric descriptions emerge as effective regimes operating within historically stabilized narratives. HAT provides a unified structural principle that reorganizes central problems in the foundations of physics by shifting the focus from state-based dynamics to global historical consistency.
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We introduce the Historical Attractor Theory (HAT), a minimal foundational principle formulated within the Historical Stability Framework. The theory addresses the question of when a physical history becomes real, unique, and classically definite, without modifying quantum dynamics or introducing objective collapse mechanisms. The central postulate states that a physical history is realized if and only if it belongs to the basin of attraction of a stable historical attractor. This principle provides a unified explanation for the emergence of classical definiteness, temporal directionality, and the quantum–classical transition, while preserving the validity of quantum mechanics and general relativity within their respective domains. The theory is intentionally minimal and structural, serving as a foundational criterion rather than a dynamical model.
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