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PRIMBIT and the Spherical Engine Family: Public Provenance and Technical Fingerprint Record

Edgar Marcelo Quiroz Robles

Published Sep 14, 2026• 0 citations
Publisher

Abstract

This deposit establishes a public provenance record for PRIMBIT and a family of spherical, geometric, modal, and computational research engines developed under the direction and authorship of Edgar Marcelo Quiroz Robles. The record documents the relationship between the arithmetic/spectral PRIMBIT framework and subsequent Spherical Engine research branches developed through PRIMBIT-guided iterative investigation. It provides selected non-enabling technical fingerprints intended to identify the existence, continuity, and distinctive technical character of these research architectures without disclosing their confidential implementation. The documented research family includes spherical modal computation, axis/sphere/Grassmannian geometric structures, qudit-related spherical operator structures, multi-sphere spectral computation, and geometric memory/process research branches. A separate SHA-256 manifest included in this deposit provides cryptographic commitments to a larger private source corpus containing detailed development records, calculations, iterations, and technical specifications. Those source files remain confidential. Internal operators, transformation rules, coupling mechanisms, Hamiltonians, gate-synthesis procedures, implementation architecture, algorithms, parameters, source code, calibration procedures, complexity-reduction mechanisms, and other proprietary technical details are intentionally withheld from this public archival version. The mathematical and computational materials documented here form part of an ongoing research programme. This record does not claim that universal quantum computation, computational advantage over conventional classical simulation, or physical implementation without quantum hardware has already been experimentally established. This deposit is intended to establish public research provenance, authorship attribution, technical continuity, and an archival timestamp. It makes no allegation regarding any third party.

DOI
10.5281/zenodo.22738701

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QCG Research Notes: Collaborator Series, Vol. 1

Stephen Garner

The QCG Research Notes: No Gloves Archive is a public collection of internal research notes, working analyses, interpretive expansions, corrections, speculative probes, synthesis papers, and revision-driving documents associated with the Quantum Collapse Geometry research program. The collection was originally maintained privately under the working name “QCG No Gloves.” The name reflects the function the notes served: unlike the principal public QCG papers, which were intentionally written through domain- and audience-appropriate scientific framing, the Research Notes provided a less audience-conditioned environment in which the theory could be discussed in a more direct, exploratory, cross-domain, and personally natural research voice. The Research Notes should not be read simply as developmental drafts from which Quantum Collapse Geometry was constructed. Much of the principal QCG architecture predates the Research Note series. Many notes instead revisit already existing QCG structure through a different access regime: making implicit relationships explicit, exploring consequences, preserving speculative interpretations, comparing distant domains, identifying unresolved bridges, or explaining why particular public formulations were framed as they were. Some later Research Notes did materially alter the QCG program. They identified errors, introduced new distinctions, resolved earlier compressed explanatory transitions, strengthened guardrails, or generated revisions later incorporated into public A-, B-, and related QCG papers. The archive therefore contains several different relationships to the public theory: interpretation, explication, exploration, synthesis, correction, resolution, extension, and historical or methodological reconstruction. For this reason, a statement appearing in a Research Note should not automatically be treated as a current canonical QCG claim. Individual notes may contain provisional mechanisms, speculative interpretations, superseded terminology, rejected hypotheses, unresolved formal targets, or claims later narrowed or replaced. Where possible, readers should consult the note’s date, version, status, downstream revisions, and the current public QCG corpus before attributing a historical Research Note to the present theory. The archive is being released publicly for several purposes: to preserve a high-resolution record of QCG interpretation, criticism, revision, and correction; to make unresolved problems and open formal bridges available to researchers who may be able to carry them further; to allow independent examination of how earlier claims changed rather than presenting only retrospectively polished outcomes; to preserve enough intellectual genealogy that later researchers need not depend upon the author’s memory or continued participation; and to provide additional access surfaces through which QCG can be reconstructed, challenged, translated into native disciplinary language, or replaced where better explanations become available. The Research Notes are not peer-reviewed publications merely by virtue of appearing in this archive. Their evidential and formal status varies substantially from note to note. Public release is intended to make that variation more inspectable, not to erase it. The orientation paper QCG No Gloves: The Research Note Is Not the Theory should be read first. It explains the historical relationship between QCG Prime and the Research Note archive, the role of public and private projection regimes, the classification of Research Note types, claim-status conventions, frozen-archive methodology, supersession and revision practices, and appropriate use of the archive in scholarly citation. Reading and Citation Guidance Researchers interested in the current state of Quantum Collapse Geometry should consult the latest canonical public QCG papers and monograph materials. Researchers interested in the interpretive history, open problems, failed mechanisms, corrections, extensions, and internal research architecture should consult the Research Note archive. When discussing a specific Research Note, citation of the individual note and version is preferred. The collection DOI may be cited when referring to the archive as a whole. A superseded or historical note should be described as such where that status is known. The existence of a statement in an earlier note does not by itself establish that the statement remains part of current QCG. Archive Status This is a public research archive, not a certification of consensus, external validation, peer review, or endorsement. Download, view, or access statistics indicate use of the archive only. They should not be interpreted as evidence of active collaboration, agreement with QCG, independent verification, institutional affiliation, or third-party endorsement. The archive intentionally preserves some failed, provisional, and superseded material because a research record containing only surviving claims would provide a misleading picture of theory formation and correction. Public preservation does not require total exposure. Material involving legitimate third-party privacy, confidential correspondence, identifying medical information, security-sensitive content, or unrelated personal information may remain withheld or redacted. Collaboration The archive is also intended as an open collaboration surface. Researchers are especially invited to identify: established native-domain equivalents of QCG concepts; mathematical obstructions or counterexamples; failed cross-domain transports; stronger existing terminology or formalism; missing recovery maps; experimental or computational tests; mechanisms capable of replacing provisional QCG placeholders; places where QCG distinctions are redundant; and places where the architecture itself, rather than merely a proposed mechanism, should be revised. Adoption of QCG terminology is not required for collaboration. Where a receiving discipline possesses a more precise native language, reconstruction in that language is preferred. Contact For questions, corrections, technical discussion, archival clarification, or collaboration: QuantumCollapseGeometry@gmail.com

•May 3, 2026•0 citations

Relativity and Decoherence of Spacetime Superpositions Under Containment and Engine Custody

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•Jul 12, 2026•0 citations

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The original description below records the provisional attribution used when this response was first deposited under restriction and before the relevant ENSO corpus had been fully reviewed. That wording attributed the distinction between quotient closure and history-preserving closure to Schimmelpfennig more broadly than the documentary and mathematical record warrants. The revised position acknowledges Schimmelpfennig specifically for foregrounding and naming the taxonomy of retentive, indexed, and quotient closure, and for proposing the closure-memory notation Σ(q) = (I_q, F_q, R_q). The underlying quotient mathematics is classical. Closure through quotient extension, achieved closure, constraint dependency, operational consequence, and the ENSO spiral–circle construction predate the exchange within the ENSO corpus. The original files and deposit timestamp remain unchanged. The current revised version contains the corrected provenance statement and several mathematical clarifications. Original deposit description follows: This restricted record contains a short response note and accompanying verification script prepared by Eric J. Needham in response to Yochanan Schimmelpfennig’s What Closure Remembers: Quotient Closure, Winding History, and the Topology of Permitted Forgetting. The record is intended to preserve timestamped documentation of a private scholarly response before it is shared with Schimmelpfennig for comment. The response concerns the relation between Schimmelpfennig’s quotient-closure distinction and the ENSO spiral–circle framework developed in Needham’s The Square Root Inside the Circle. No public claim of priority over Schimmelpfennig’s distinction is intended. The distinction between quotient closure and history-preserving closure is acknowledged as Schimmelpfennig’s contribution. The present record documents a follow-up observation and computational check prepared within the ENSO framework. This record is restricted pending private review and possible further discussion with Schimmelpfennig. The materials should not be treated as a public release.

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•Feb 28, 2026•0 citations
This deposit establishes a public provenance record for PRIMBIT and a family of spherical, geometric, modal, and computational research engines developed under the direction and authorship of Edgar Marcelo Quiroz Robles. The record documents the relationship between the arithmetic/spectral PRIMBIT framework and subsequent Spherical Engine research branches developed through PRIMBIT-guided iterative investigation. It provides selected non-enabling technical fingerprints intended to identify the existence, continuity, and distinctive technical character of these research architectures without disclosing their confidential implementation. The documented research family includes spherical modal computation, axis/sphere/Grassmannian geometric structures, qudit-related spherical operator structures, multi-sphere spectral computation, and geometric memory/process research branches. A separate SHA-256 manifest included in this deposit provides cryptographic commitments to a larger private source corpus containing detailed development records, calculations, iterations, and technical specifications. Those source files remain confidential. Internal operators, transformation rules, coupling mechanisms, Hamiltonians, gate-synthesis procedures, implementation architecture, algorithms, parameters, source code, calibration procedures, complexity-reduction mechanisms, and other proprietary technical details are intentionally withheld from this public archival version. The mathematical and computational materials documented here form part of an ongoing research programme. This record does not claim that universal quantum computation, computational advantage over conventional classical simulation, or physical implementation without quantum hardware has already been experimentally established. This deposit is intended to establish public research provenance, authorship attribution, technical continuity, and an archival timestamp. It makes no allegation regarding any third party.
The QCG Research Notes: No Gloves Archive is a public collection of internal research notes, working analyses, interpretive expansions, corrections, speculative probes, synthesis papers, and revision-driving documents associated with the Quantum Collapse Geometry research program. The collection was originally maintained privately under the working name “QCG No Gloves.” The name reflects the function the notes served: unlike the principal public QCG papers, which were intentionally written through domain- and audience-appropriate scientific framing, the Research Notes provided a less audience-conditioned environment in which the theory could be discussed in a more direct, exploratory, cross-domain, and personally natural research voice. The Research Notes should not be read simply as developmental drafts from which Quantum Collapse Geometry was constructed. Much of the principal QCG architecture predates the Research Note series. Many notes instead revisit already existing QCG structure through a different access regime: making implicit relationships explicit, exploring consequences, preserving speculative interpretations, comparing distant domains, identifying unresolved bridges, or explaining why particular public formulations were framed as they were. Some later Research Notes did materially alter the QCG program. They identified errors, introduced new distinctions, resolved earlier compressed explanatory transitions, strengthened guardrails, or generated revisions later incorporated into public A-, B-, and related QCG papers. The archive therefore contains several different relationships to the public theory: interpretation, explication, exploration, synthesis, correction, resolution, extension, and historical or methodological reconstruction. For this reason, a statement appearing in a Research Note should not automatically be treated as a current canonical QCG claim. Individual notes may contain provisional mechanisms, speculative interpretations, superseded terminology, rejected hypotheses, unresolved formal targets, or claims later narrowed or replaced. Where possible, readers should consult the note’s date, version, status, downstream revisions, and the current public QCG corpus before attributing a historical Research Note to the present theory. The archive is being released publicly for several purposes: to preserve a high-resolution record of QCG interpretation, criticism, revision, and correction; to make unresolved problems and open formal bridges available to researchers who may be able to carry them further; to allow independent examination of how earlier claims changed rather than presenting only retrospectively polished outcomes; to preserve enough intellectual genealogy that later researchers need not depend upon the author’s memory or continued participation; and to provide additional access surfaces through which QCG can be reconstructed, challenged, translated into native disciplinary language, or replaced where better explanations become available. The Research Notes are not peer-reviewed publications merely by virtue of appearing in this archive. Their evidential and formal status varies substantially from note to note. Public release is intended to make that variation more inspectable, not to erase it. The orientation paper QCG No Gloves: The Research Note Is Not the Theory should be read first. It explains the historical relationship between QCG Prime and the Research Note archive, the role of public and private projection regimes, the classification of Research Note types, claim-status conventions, frozen-archive methodology, supersession and revision practices, and appropriate use of the archive in scholarly citation. Reading and Citation Guidance Researchers interested in the current state of Quantum Collapse Geometry should consult the latest canonical public QCG papers and monograph materials. Researchers interested in the interpretive history, open problems, failed mechanisms, corrections, extensions, and internal research architecture should consult the Research Note archive. When discussing a specific Research Note, citation of the individual note and version is preferred. The collection DOI may be cited when referring to the archive as a whole. A superseded or historical note should be described as such where that status is known. The existence of a statement in an earlier note does not by itself establish that the statement remains part of current QCG. Archive Status This is a public research archive, not a certification of consensus, external validation, peer review, or endorsement. Download, view, or access statistics indicate use of the archive only. They should not be interpreted as evidence of active collaboration, agreement with QCG, independent verification, institutional affiliation, or third-party endorsement. The archive intentionally preserves some failed, provisional, and superseded material because a research record containing only surviving claims would provide a misleading picture of theory formation and correction. Public preservation does not require total exposure. Material involving legitimate third-party privacy, confidential correspondence, identifying medical information, security-sensitive content, or unrelated personal information may remain withheld or redacted. Collaboration The archive is also intended as an open collaboration surface. Researchers are especially invited to identify: established native-domain equivalents of QCG concepts; mathematical obstructions or counterexamples; failed cross-domain transports; stronger existing terminology or formalism; missing recovery maps; experimental or computational tests; mechanisms capable of replacing provisional QCG placeholders; places where QCG distinctions are redundant; and places where the architecture itself, rather than merely a proposed mechanism, should be revised. Adoption of QCG terminology is not required for collaboration. Where a receiving discipline possesses a more precise native language, reconstruction in that language is preferred. Contact For questions, corrections, technical discussion, archival clarification, or collaboration: QuantumCollapseGeometry@gmail.com
Foundational — Relativity and Decoherence of Spacetime Superpositions Under Containment and Engine Custody This article develops a containment-first response to the reported relativity and decoherence of spacetime superpositions. It joins Universal and containment rule placement, dedicated engine custody, immutable path identity, Single-Trajectory Local Filtering, Pedigree–Transmission–Triad certification, Sign Net grading, Richardson Subspace carry, and D8 containment-of-containments history into one continuous operating framework. The presentation distinguishes the Universal placement surface from engine firing sequence. Every object receives a permanent engine number and declared path, while global fire incrementation records the order of all committed events, per-engine fire count records every scheduled engine action, and engine position count advances only when the object reaches the next declared route position. Movement is retained beneath the fire event as a derived STLF checksum, allowing repeated (0T), (0S), hold, timeout, refusal, and typed-skip records to remain at one route position without becoming duplicate events. D8 records containment-owned engine histories through receiving D8, post-fire containment, permanent engine identity, global fire order, route position, path coordinates, typed outcome, and immutable path hash. EVENT references identify one exact committed firing, while POSITION references identify one route position and its complete stationary-history family. This architecture preserves same-coordinate and same-route operation across different objects while preventing identity flattening, path rewriting, and ambiguous history return. The article also audits the assumptions used in the source framework. It identifies a direct difference at semiclassical metric intake: the source begins with metric branches associated with classical Einstein-equation solutions, while this framework begins with unresolved Gm and pre-(M) conditions that must form a locally certified MG containment frame. Hilbert space is reconstructed as nested admissible rooms, Richardson Subspace supplies bounded (0S) half-sign carry, branch dynamics arise through tighter object rules inside frozen U and containment authority, and linearity and reversible symmetry are treated through independent branch custody and replayable transformations. General covariance is mapped to label-independent containment custody, while diffeomorphism invariance is mapped to structure-preserving relabeling of containment ancestry, proportional units, time placement, route adjacency, boundary rules, and D8 references. Different paths or coordinate labels inside one invariant containment architecture support the fixed-background reading. A source condition that changes parentage, unit proportion, time mapping, MG closure, boundary size, path availability, or D8 ancestry defines the candidate architecture-changing branch. Python stress testing supports the internal architecture through dedicated-engine, route-manifest, movement-checksum, containment-graph, Hilbert-room, anchor-channel, and history-overlap harnesses. The tests detect injected identity, movement, path, containment, reference, symmetry, and history faults while preserving laboratory evidence and formal metric correspondence as separate proof layers. The resulting framework supplies a reusable custody grammar for distinguishing coordinate description, path difference, containment architecture, branch history, and public record formation. Its central result is that spacetime-superposition interpretation begins only after placement, engine identity, path authority, sign formation, grade, containment ownership, and external-history distinguishability have been separately certified.
Études algorithmiques des configurations quantiques contextuelles La thèse contribue à l'étude de la contextualité quantique en utilisant des approches algébriques et géométriques qui facilitent l'analyse de ces configurations et mettent en évidence les distinctions fondamentales entre les configurations classiques et les configurations quantiques. Ce travail se concentre sur la génération de configurations d'observables quantiques, l'analyse de leurs propriétés contextuelles et développe des méthodes efficaces pour construire et évaluer des configurations quantiques afin de déterminer si elles présentent des propriétés contextuelles. L'objectif de cette approche algorithmique est de s'aider de la puissance de calcul pour explorer les structures géométriques riches liées à la contextualité quantique, puis d'en dégager des propriétés qui permettent de mieux comprendre et d'établir de meilleurs cadres théoriques pour comprendre et quantifier ce phénomène.
This OSF project accompanies the public research disclosure of **Orbital State Computing (OSC)**, an ongoing architecture investigating programmable computation based on experimentally supported orbital degrees of freedom in solid-state systems. OSC introduces a state-centric framework that connects orbital physical mechanisms to computational primitives, an architectural interface, a future physical-compiler layer, and a verification-before-commit execution model. The public research scope includes the Physics–Primitive–Architectural Interface–Physical Compiler stack, state-transition lifecycle, verification philosophy, backend-independent abstraction, validation criteria, limitations, and research roadmap. This project does **not** disclose proprietary state encodings, transformation kernels, compiler lowering rules, optimization functions, verification thresholds, calibration procedures, material stacks, device geometries, fabrication recipes, implementation source code, or private benchmark data. OSC is presented as an active architectural research framework and public timestamped disclosure. It does not claim that a complete general-purpose orbital processor has already been fabricated or that a demonstrated performance advantage over conventional CPU, GPU, NPU, quantum, or spintronic processors has been established. **Copyright © 2026 JeongChoon LEE (이정춘) and Collaborative System Core.** Except where third-party material is separately identified, this work is licensed under the **Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).** Attribution is required. Commercial use is not authorized under this publication license. Modified or derivative versions may not be distributed under this license. **No patent license is granted.** No rights are granted in unpublished inventions, patent claims, trade secrets, confidential know-how, undisclosed source code, internal algorithms, model parameters, device recipes, fabrication details, or other implementation-sensitive material not disclosed in the public release.
The original description below records the provisional attribution used when this response was first deposited under restriction and before the relevant ENSO corpus had been fully reviewed. That wording attributed the distinction between quotient closure and history-preserving closure to Schimmelpfennig more broadly than the documentary and mathematical record warrants. The revised position acknowledges Schimmelpfennig specifically for foregrounding and naming the taxonomy of retentive, indexed, and quotient closure, and for proposing the closure-memory notation Σ(q) = (I_q, F_q, R_q). The underlying quotient mathematics is classical. Closure through quotient extension, achieved closure, constraint dependency, operational consequence, and the ENSO spiral–circle construction predate the exchange within the ENSO corpus. The original files and deposit timestamp remain unchanged. The current revised version contains the corrected provenance statement and several mathematical clarifications. Original deposit description follows: This restricted record contains a short response note and accompanying verification script prepared by Eric J. Needham in response to Yochanan Schimmelpfennig’s What Closure Remembers: Quotient Closure, Winding History, and the Topology of Permitted Forgetting. The record is intended to preserve timestamped documentation of a private scholarly response before it is shared with Schimmelpfennig for comment. The response concerns the relation between Schimmelpfennig’s quotient-closure distinction and the ENSO spiral–circle framework developed in Needham’s The Square Root Inside the Circle. No public claim of priority over Schimmelpfennig’s distinction is intended. The distinction between quotient closure and history-preserving closure is acknowledged as Schimmelpfennig’s contribution. The present record documents a follow-up observation and computational check prepared within the ENSO framework. This record is restricted pending private review and possible further discussion with Schimmelpfennig. The materials should not be treated as a public release.