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ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Boundary-Condition Quantum Mechanics VII: Emergent Coarse Spatial Cloth from Cross-Linked Event Bundles

Authors: Ferguson, Peter Mark;

Boundary-Condition Quantum Mechanics VII: Emergent Coarse Spatial Cloth from Cross-Linked Event Bundles

Abstract

This record contains BCQM VII (v1.0) — Boundary-Condition Quantum Mechanics VII: Stage–2 “cloth” results. The paper advances the BCQM programme by moving beyond the short, fast-mixing active slice (Stage–1) and defining a persistent coarse spatial cloth that can be analysed with stable, reproducible diagnostics without assuming an underlying manifold. Time and ordering (the clock) BCQM retains a mechanistic separation between (i) an operational time/ordering signal and (ii) emergent spatial adjacency. The v_glue module supplies an operational clock-quality observable Q_{\mathrm{clock}} that tracks ordered time/temporal coherence. In Stage–2 we use Q_{\mathrm{clock}} as a stability and sanity check: the clock signal remains robust while the spatial cloth develops a structured core + halo organisation at larger N (notably N=32). What the paper does Builds a Stage–2 cloth object using a Path A cross-link layer on top of the v_glue clock engine (primitive ontology remains pre-spacetime: events + directed connections). Shows why strict edge-level persistence tends to isolate motifs rather than a spanning backbone, motivating a community coarse-graining and a community super-graph representation. Establishes stability of the cloth and super-graph across seeds and through scale-ups to N=32 in the high-coherence regime (n=0.8), including stable geometry diagnostics alongside a growing halo. Demonstrates that thread trajectories are local on the emergent coarse geometry (small hop distances on the community super-graph), supporting the interpretation that particle-like threads “respect” the cloth. What this is not yet This paper establishes a spatial cloth (persistent adjacency and robust diagnostics) with an independent operational ordering/clock signal. It does not yet extract a unified spacetime metric, causal structure, or a continuum limit; those are deferred to later stages. Reproducibility Repository artefacts (configs, CSV tables, and figure-generation scripts) are archived separately as a code release: Code DOI (v1.0): 10.5281/zenodo.18505934 Concept DOI (all versions): 10.5281/zenodo.18497216

Keywords

stochastic growth, pre-spacetime, emergent geometry, hop-distance, quantum measurement, community super-graph, time symmetry, small-world networks, Boundary-Condition Quantum Mechanics, event graphs, Louvian, effective dimension, BCQM, community detection, Q_clock, decoherence, graph curvature, emergent space, ball growth, reproducible simulation, quantum foundations, collapse, ordered time, localisation, coarse graining, operational clock, Forman-Ricci curvature, v_glue, core-halo structure, spectral dimension

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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