Computing Around the Open Center
Splat Mechanics, Fractal Quivers of Quivers, and a Governance-Native Compute Paradigm
A splat is a portable unit of lawful problem shape: small enough to move, rich enough to preserve what must not collapse, and incomplete by construction so no encoding can crown itself as the whole.
Standing
Sealed base 1.0 — sealed 2026-07-22; v1.1 delta recorded 2026-09-14.
A peer paper in the flat register. It supplies the compute paradigm other works apply; it sits above nothing and nothing sits above it.
arXiv preprint candidate. Not submitted as of 2026-09-15: no arXiv identifier exists, the distribution license is selected by the author at submission, and no announcement date is claimed.
Admitted to the flat papers register as a peer flagship work on 2026-09-15, carrying the v1.1 preprint candidate. Admission is a site decision; it is not submission, acceptance, or peer review. Lineage: Extends the Fractal Quivers of Quivers substrate into splat mechanics, and supplies the SPLAT constraint geometry that Proof-Horizon Sharding and The Verdict Before the Evidence each apply in their own domain.
Reading surfaces
The full paper
Every section verbatim, with formulas typeset and the section diagrams in place. 12,253 words in the v1.1 projection.
OpenThe splat instrument
A three-dimensional reading of the primitive: six facets cross-bound around a movable working centroid, orbiting a center that stays held open. 17 authored splats to traverse.
OpenLedger & receipts
The authoring chain: 102 facet reads, 37 named forbidden collapses, per-entry hashes, and the exact Jacobian certificate.
OpenThe six reads a splat carries
What the slice positively is — its mechanic and its name.
What it must not become: the collapses forbidden at this slice.
The uncentered cost — who carries burden, pressure, or exposure.
What completion requires: interface, receipt, audit, proof.
How it inverts — the failure that looks like success.
The direction it serves, and the parent telos above it.
Held-open center — The whole of the represented problem, person, institution, or field is never serialized, optimized, routed, learned, or terminalized as one computable point.
What v1.1 adds
Differentiation from societal approaches
Recorded 2026-09-14Societal approaches negotiate and oversee values at the polity or institution layer. This work builds a software and logical runtime substrate where lawful motion is typed before a model's fluency can crown itself. The two are layer-orthogonal, not rivals; collapsing them is the main category error a reader makes.
- Society-in-the-loop
- Institutional responsible-AI review boards
- Principled and soft-law stacks
- Sociotechnical responsible-AI practice
- Socio-technical control stacks
- Living / runtime regulation
The external lane — an exact finite certificate
- Arithmetic
- Exact rational — no floating point
- Determinant
- -2
- Shared target
- (-1/4, 0, 0)
- Verified
- Reproduced
Three distinct rational points collapse onto one image, reproduced symbolically:
- (0, 0, -1/4) ↦ (-1/4, 0, 0)
- (1, -3/2, 13/2) ↦ (-1/4, 0, 0)
- (-1, 3/2, 13/2) ↦ (-1/4, 0, 0)
Finite symbolic certificate only; does not establish priority, peer review, or a complete description of the nonproperness set.
What this work does not claim
- Preprint candidate, not a submitted or announced arXiv paper
No arXiv identifier, no announcement date, no distribution license selected. The site admission is a publication decision by the author and carries no external review.
- No independent replication at scale
The engineering evidence is first-party and bounded to the Ubiquity Federation's own receipts. Formal complexity bounds and outside replication remain open.
- The Jacobian certificate is finite and symbolic only
Finite symbolic certificate only; does not establish priority, peer review, or a complete description of the nonproperness set.
- The ledger is a receipt for authoring geometry, not for truth
The splat chain records how the paper was composed and what each section refused to collapse. It does not certify that any claim in the paper is correct.
Typed relations in the register
- informs/fractal-quivers-of-quivers
Extends the FQoQ substrate into splat mechanics.
- informs/proof-horizon-sharding
Supplies the constraint geometry that the sharding protocol applies to canonical computation.
- informs/verdict-before-the-evidence
SPLAT constraint geometry used there as the diagnostic frame for premature collapse.
- companion-to/color-of-optionality-under-pressure
Cultural-physics companion.
- informs/forked
Applied to machine-mediated conflict in the FORKED whitepaper.
Artifacts
- Sealed v1.0 typeset PDFheld
sha256 cbf0f1c07a724e8c… - v1.1 preprint (Markdown)
sha256 83744010196d4f8e… - v1.1 LaTeX source
sha256 ac3e2f0c1dad771d… - Bibliography (BibTeX)
sha256 f290a38544b9a051… - arXiv source archive (v1.0)
sha256 dd09d3c90f5e040e… - Splat ledger
sha256 70f307b2f31a9395… - Splat build receipt
sha256 bb30cbfd8bb6a4d4… - Jacobian exact certificate
sha256 f798b0acaf47cf2a… - Societal-approaches delta (v1.1)
sha256 bbc0cfaac4d8c3d5… - Citation metadata (CITATION.cff)
- Source checksums
- Machine package (JSON)
- Internal research brief (loop 2)heldHeld privately — internal research correspondence, not part of the preprint record.
Rows marked held are cited but not published here. Write breyden@prompted.community to request access to a cited private artifact.
Cite as — Taylor, B. E. (2026). Computing Around the Open Center: Splat Mechanics, Fractal Quivers of Quivers, and a Governance-Native Compute Paradigm (v1.1 preprint). Prompted LLC. https://promptedllc.com/computing-around-the-open-center · Compiled with the assistance of Homeskillet-S56 and the Ubiquity Federation. Copyright © 2026 Prompted LLC. All rights reserved.
