Powered by OpenAIRE graph
Found an issue? Give us feedback
ZENODOarrow_drop_down
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
versions View all 3 versions
addClaim

The Span Model: A Phenomenological Scaling Framework for Finite Correlation Spans

Authors: Gurewich, Ori;

The Span Model: A Phenomenological Scaling Framework for Finite Correlation Spans

Abstract

Experiments involving correlated particle pairs exhibit finite correlation spans that vary widely across experimental setups and particle species. This work does not address microscopic quantum mechanisms or propose any modification to quantum theory; instead, it presents a minimal and falsifiable phenomenological experimental framework examining how experimentally accessible macroscopic parameters are empirically correlated with observable correlation spans. Motivated by the large separation scales reported in existing experiments, this work introduces a simple phenomenological scaling equation that relates the maximum observable correlation span to the masses of the particles involved and to an effective contribution from the experimental apparatus. The proposed relation is not derived from quantum theory and makes no claim regarding the physical origin of its parameters. The central contribution of this paper is the definition of a minimal, inexpensive, and experimentally testable calibration protocol designed to decide between two mutually exclusive hypotheses: either a single constant governs correlation spans across all experimental setups, or the observed spans depend on properties of the measurement apparatus itself. The protocol specifies how repeated measurements using different particle pairs on the same apparatus can extract or falsify the proposed relation within a given regime. The falsifiability of the framework is established explicitly at the end of Section 3, where a technician-ready calibration procedure leads to a set of mutually exclusive experimental outcomes. In this sense, the work presents a testable experimental framework rather than a completed physical theory. 

Keywords

correlation span, phenomenological physics, phenomenological scaling, experimental scaling law, quantum correlations, apparatus dependence, quantum entanglement, experimental calibration, calibration protocol, falsifiable framework, macroscopic parameters

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    0
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
Powered by OpenAIRE graph
Found an issue? Give us feedback
selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Upload OA version
Are you the author of this publication? Upload your Open Access version to Zenodo!
It’s fast and easy, just two clicks!