Quantum Mechanics from a new Principal of Least Information in conjunction with a secondary time dimension

This paper introduces a new approach to the foundations of quantum mechanics based on two elements: the Principle of Least Information (PLI) and an auxiliary second Gaussian time axis. PLI is formulated as a fundamental law, on par with relativity and least action, which states that among all consistent law-and-boundary descriptions of the world, Nature selects the one with the shortest algorithmic code length. This principle rules out gratuitous parameters, favours minimal structures, and uniquely selects a Gaussian auxiliary time kernel. The addition of a perpendicular Gaussian time coordinate provides a natural influence functional: integrating over this axis induces a completely positive, trace-preserving (CPTP) map on the usual time evolution. From this structure one derives the decoherence functional, strong positivity, and ultimately the Born rule—thus explaining quantum probabilities without postulates. The framework also leads directly to the GKSL master equation, clarifies the emergence of measurement and POVMs, preserves no-signalling, and predicts thresholds for interference visibility and quantum Zeno effects. This minimal PLI + 2t construction reproduces the operational content of quantum mechanics, connects consistent histories, path integral, and open-system perspectives, and avoids ad hoc collapse models. It provides both a conceptual explanation of quantum phenomena and a set of falsifiable experimental predictions involving visibility–information tradeoffs and directional Zeno signatures.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-09-04
DOI
https://doi.org/10.5281/zenodo.17055006
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
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article

Quantum Mechanics from a new Principal of Least Information in conjunction with a secondary time dimension

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

Quantum Mechanics from a new Principal of Least Information in conjunction with a secondary time dimension

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Abstract

This paper introduces a new approach to the foundations of quantum mechanics based on two elements: the Principle of Least Information (PLI) and an auxiliary second Gaussian time axis. PLI is formulated as a fundamental law, on par with relativity and least action, which states that among all consistent law-and-boundary descriptions of the world, Nature selects the one with the shortest algorithmic code length. This principle rules out gratuitous parameters, favours minimal structures, and uniquely selects a Gaussian auxiliary time kernel. The addition of a perpendicular Gaussian time coordinate provides a natural influence functional: integrating over this axis induces a completely positive, trace-preserving (CPTP) map on the usual time evolution. From this structure one derives the decoherence functional, strong positivity, and ultimately the Born rule—thus explaining quantum probabilities without postulates. The framework also leads directly to the GKSL master equation, clarifies the emergence of measurement and POVMs, preserves no-signalling, and predicts thresholds for interference visibility and quantum Zeno effects. This minimal PLI + 2t construction reproduces the operational content of quantum mechanics, connects consistent histories, path integral, and open-system perspectives, and avoids ad hoc collapse models. It provides both a conceptual explanation of quantum phenomena and a set of falsifiable experimental predictions involving visibility–information tradeoffs and directional Zeno signatures.

Zenodo (CERN European Organization for Nuclear Research)
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Geochemistry and Geologic Mapping
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