Operational Records and Kinematic Lorentzian Geometry: A Conditional Reconstruction Scheme for Quantum-Field-Like Inputs

This preprint presents a conditional reconstruction scheme for obtaining kinematic Lorentzian geometric structure from operational records associated with an underlying quantum-field-like input. The manuscript is deliberately limited in scope: it does not derive Einstein dynamics, stress-energy coupling, a cosmological model, or empirical signatures. Instead, it addresses a prior kinematic question: under which explicitly stated assumptions and stability criteria may finite, reproducible operational records be organized into directed order, conformal, metric, transport, holonomy, and curvature candidates? The contribution is a criterion-based dependency architecture. The reconstruction begins with a non-background operational interface and proceeds only through certified record stability, directed intervention-signalling tests, conformal reconstruction criteria, clock/scale selection, and transport/curvature consistency conditions. The result is conditional rather than existential: the paper does not claim that arbitrary quantum-field-like inputs generate spacetime. A first explicit non-geometric toy input satisfying the full chain of criteria is left to subsequent work. This record archives Preprint v1.0.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-29
DOI
https://doi.org/10.5281/zenodo.21020925
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

Operational Records and Kinematic Lorentzian Geometry: A Conditional Reconstruction Scheme for Quantum-Field-Like Inputs

Steven Trümpert
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

Operational Records and Kinematic Lorentzian Geometry: A Conditional Reconstruction Scheme for Quantum-Field-Like Inputs

Steven Trümpert
preprint en

Abstract

This preprint presents a conditional reconstruction scheme for obtaining kinematic Lorentzian geometric structure from operational records associated with an underlying quantum-field-like input. The manuscript is deliberately limited in scope: it does not derive Einstein dynamics, stress-energy coupling, a cosmological model, or empirical signatures. Instead, it addresses a prior kinematic question: under which explicitly stated assumptions and stability criteria may finite, reproducible operational records be organized into directed order, conformal, metric, transport, holonomy, and curvature candidates? The contribution is a criterion-based dependency architecture. The reconstruction begins with a non-background operational interface and proceeds only through certified record stability, directed intervention-signalling tests, conformal reconstruction criteria, clock/scale selection, and transport/curvature consistency conditions. The result is conditional rather than existential: the paper does not claim that arbitrary quantum-field-like inputs generate spacetime. A first explicit non-geometric toy input satisfying the full chain of criteria is left to subsequent work. This record archives Preprint v1.0.

Zenodo (CERN European Organization for Nuclear Research)
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