Observation as an Indexical Fiber over Spacetime: Standing Preprint and Companion Articulations
Abstract
Observation as an Indexical Fiber over Spacetime
This record holds the standing preprint "Observation as an Indexical Fiber over Spacetime" together with its companion articulations and the Typing Schema, deposited as one set.
The preprint gives a kinematic representation of quantum definiteness as indexical content on a bare ℤ/2 fiber over spacetime. The swap of the fiber's two elements is a local ℤ/2 gauge symmetry. What the framework records is therefore relational: the co-reference structure of context sections and the holonomy class in H¹(M₄; ℤ/2), never which element obtains. The framework adds no new empirical prediction, inherits the Born measure through Gleason's theorem, and forecloses dynamics on the index.
Its results are structural and largely negative:
- no deterministic diagonal recovery of Born statistics (Theorem 1);
- rigidity of all swap-invariant content to the holonomy class (Theorem 2);
- a topological obstruction to a global gauge fixing (Proposition 2);
- the coarseness of the discrete invariant relative to continuum Born weights (Proposition 3);
- the distinctness of the holonomy obstruction, the no-common-section obstruction, and contextuality (Propositions 4 and 4′).
From version 9 this record holds the standing preprint (Rev 3.1) with the Philosophical Articulation (Rev 6.1) and the Gauge-Theoretic Articulation (Rev 3.3). The Mathematical Articulation, the Physical Articulation and the Typing Schema are maintained as standalone records under Definiteness as Index, the program's circulating paper (10.5281/zenodo.23386456); earlier versions of this record still hold their prior issues. The ground has since been retyped from one typed primitive, the causal order, with extension's content its orientation and strong causality forced (Typing Schema, Rev 4.8); the documents kept here are carried as deposited and will take that change at their next revisions. No theorem, proposition or proof is altered. The framework adds no new empirical content. Submitted for technical scrutiny, not belief.
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BibTeX
@misc{reid2026observation,
title = {{Observation as an Indexical Fiber over Spacetime: Standing Preprint and Companion Articulations}},
author = {Aron Reid},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23552924},
url = {https://zenodo.org/records/23552924},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Observation as an Indexical Fiber over Spacetime: Standing Preprint and Companion Articulations
AU - Aron Reid
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23552924
UR - https://zenodo.org/records/23552924
AB - Observation as an Indexical Fiber over Spacetime This record holds the standing preprint "Observation as an Indexical Fiber over Spacetime" together with its companion articulations and the Typing Schema, deposited as one set. The preprint gives a kinematic representation of quantum definiteness as indexical content on a bare ℤ/2 fiber over spacetime. The swap of the fiber's two elements is a local ℤ/2 gauge symmetry. What the framework records is therefore relational: the co-reference structure of context sections and the holonomy class in H¹(M₄; ℤ/2), never which element obtains. The framework adds no new empirical prediction, inherits the Born measure through Gleason's theorem, and forecloses dynamics on the index. Its results are structural and largely negative: - no deterministic diagonal recovery of Born statistics (Theorem 1); - rigidity of all swap-invariant content to the holonomy class (Theorem 2); - a topological obstruction to a global gauge fixing (Proposition 2); - the coarseness of the discrete invariant relative to continuum Born weights (Proposition 3); - the distinctness of the holonomy obstruction, the no-common-section obstruction, and contextuality (Propositions 4 and 4′). From version 9 this record holds the standing preprint (Rev 3.1) with the Philosophical Articulation (Rev 6.1) and the Gauge-Theoretic Articulation (Rev 3.3). The Mathematical Articulation, the Physical Articulation and the Typing Schema are maintained as standalone records under Definiteness as Index, the program's circulating paper (10.5281/zenodo.23386456); earlier versions of this record still hold their prior issues. The ground has since been retyped from one typed primitive, the causal order, with extension's content its orientation and strong causality forced (Typing Schema, Rev 4.8); the documents kept here are carried as deposited and will take that change at their next revisions. No theorem, proposition or proof is altered. The framework adds no new empirical content. Submitted for technical scrutiny, not belief.
ER -