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Spectral Brand Theory — Research Papers

Research publications on Spectral Brand Theory (SBT), a computational framework for modeling brand perception as an observer-mediated, multi-dimensional process.

Papers

Paper Words Refs Zenodo DOI Status
Spectral Brand Theory: A Computational Framework for Multi-Dimensional Brand Perception ~15,000 81 10.5281/zenodo.18945912 Preprint
The Atom-Cloud-Fact Epistemological Pipeline ~4,100 19 10.5281/zenodo.18944770 Preprint

Mathematical Foundations (R0-R7, R11-R12)

Eight companion papers establishing formal mathematical foundations for SBT, plus two extensions:

Key Paper Zenodo DOI Status
R0 Geometric Approaches to Brand Perception: A Critical Survey 10.5281/zenodo.18945217 Preprint
R1 Brand Space Geometry: A Formal Metric for Multi-Dimensional Brand Perception 10.5281/zenodo.18945295 Preprint
R2 Spectral Metamerism in Brand Perception: Projection Bounds from High-Dimensional Geometry 10.5281/zenodo.18945352 Preprint
R3 Cohort Boundaries in High-Dimensional Perception Space: A Concentration of Measure Analysis 10.5281/zenodo.18945477 Preprint
R4 How Many Brands Can a Market Hold? Sphere Packing Bounds for Multi-Dimensional Positioning 10.5281/zenodo.18945522 Preprint
R5 Specification Impossibility in Organizational Design: A High-Dimensional Geometric Analysis 10.5281/zenodo.18945591 Preprint
R6 Non-Ergodic Brand Perception: Diffusion Dynamics on Multi-Dimensional Perceptual Manifolds 10.5281/zenodo.18945659 Preprint
R7 Spectral Resource Allocation: Demand-Driven Investment in Multi-Dimensional Brand Space 10.5281/zenodo.19009268 Preprint
R11 Why Eight? Completeness and Necessity of the SBT Dimensional Taxonomy 10.5281/zenodo.19207599 Preprint
R12 Coherence Type as Crisis Predictor: A Formal Derivation from Non-Ergodic Dynamics 10.5281/zenodo.19208107 Preprint

Applied Theory

Key Paper Zenodo DOI Status
R8 Spectral Portfolio Theory: Interference, Coherence, and Capacity in Multi-Brand Perception Space 10.5281/zenodo.19145099 Under review
R14 Research as Repository: A Git-Native Protocol for Scientific Knowledge Production 10.5281/zenodo.19294864 Under review

Methodology

Key Paper Zenodo DOI Status
R13 Paper as Specification: A Machine-Readable Standard for Scientific Claims 10.5281/zenodo.19210037 Under review

Empirical

Key Paper Zenodo DOI Status
R9 Non-Ergodic Brand Perception: Diffusion Dynamics on Multi-Dimensional Perceptual Manifolds 10.5281/zenodo.19138860 Preprint
R10 Dimensional Activation and Cohort Divergence: A Spectral Case Study of Dove's "Real Beauty" Campaign 10.5281/zenodo.19139258 Preprint
R15 Dimensional Collapse in AI-Mediated Brand Perception: Large Language Models as Metameric Observers 10.5281/zenodo.19422427 Under review

AI-Era Extensions

Key Paper Zenodo DOI Status
R16 AI-Native Brand Identity: From Visual Recognition to Cryptographic Verification 10.5281/zenodo.19391476 Under review
R17 Brand Triangulation: A Geometric Framework for Multi-Observer Brand Positioning 10.5281/zenodo.19482547 Preprint
R18 Spectral Dynamics: Velocity, Acceleration, and Phase Space in Multi-Dimensional Brand Perception 10.5281/zenodo.19468204 Preprint
R19 Empirical Rate-Distortion Curve for AI Brand Perception Encoders 10.5281/zenodo.19528833 Preprint
R20 Does Corporate Ownership Matter to AI? Portfolio Interference in LLM Brand Perception 10.5281/zenodo.19555282 Preprint
PRISM PRISM: A Structured Measurement Instrument for Multi-Dimensional Brand Perception 10.5281/zenodo.19555265 Preprint

Cross-Framework Synthesis

Key Paper Zenodo DOI Status
2026l The Rendering Problem: From Genetic Expression to Brand Perception 10.5281/zenodo.19064427 Preprint

Key results: formal metric (R1), metamerism inevitability (R2), fuzzy cohort boundaries (R3), positioning capacity bounds (R4), specification impossibility (R5), non-ergodic dynamics (R6), demand-driven resource allocation (R7), dimensional taxonomy justification (R11), coherence-resilience derivation (R12).

R7 formalizes spectral resource allocation — optimal dimensional investment given measured cohort weights, alignment gap between founder and cohort profiles.

Spectral Brand Theory (Zharnikov 2026a)

Introduces the full SBT framework: eight perceptual dimensions, observer spectral profiles, cloud formation and conviction collapse, and the seven-metric coherence scorecard. Validated across five brands (Hermès, IKEA, Patagonia, Tesla, Erewhon). Reports nine candidate mechanisms: structural absence (dark signals), five-type coherence taxonomy, asymmetric conviction resilience, brand power/health independence, D/A ratio optimum, temporal compounding, mediated cloud formation, evidence-free conviction stability, and cross-weight barrier penetration.

Keywords: brand perception, computational branding, observer heterogeneity, brand coherence, structural absence, AI-native framework

The Atom-Cloud-Fact Epistemological Pipeline (Zharnikov 2026b)

Describes the domain-agnostic epistemological architecture underlying SBT. Originally developed for probabilistic financial fact extraction, the atom-cloud-fact pipeline provides the formal machinery for observation-to-knowledge progression. Documents the architecture, its seven principles, and the domain transfer from financial document processing to brand perception modeling.

Keywords: epistemology, probabilistic knowledge, atom-cloud-fact, domain transfer, computational framework

The Rendering Problem: From Genetic Expression to Brand Perception (Zharnikov 2026l)

Proposes the Rendering Problem as a unifying structural pattern across biological and social systems: a specification (DNA, organizational schema, brand signal) is never directly perceived — it is rendered through an implementation layer, and perception is always of the rendering, not the specification. Documents three instantiations (genetic expression, organizational execution, brand perception), formalizes the structural specification gap at each transition, and argues that the gap is irreducible in principle. Connects SBT, OST, and the body-as-metadata thesis under a single formal architecture.

Keywords: rendering problem, specification gap, brand perception, genetic expression, organizational schema, cross-framework synthesis

How to Cite

@article{zharnikov2026sbt,
  title={Spectral Brand Theory: A Computational Framework for
         Multi-Dimensional Brand Perception},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.18945912},
  doi={10.5281/zenodo.18945912}
}

@article{zharnikov2026acf,
  title={The Atom-Cloud-Fact Epistemological Pipeline: From Financial
         Document Processing to Brand Perception Modeling},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.18944770},
  doi={10.5281/zenodo.18944770}
}

@article{zharnikov2026r0,
  title={Geometric approaches to brand perception: A critical survey
         and research agenda},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.18945217},
  doi={10.5281/zenodo.18945217}
}

@article{zharnikov2026r1,
  title={Brand space geometry: A formal metric for multi-dimensional
         brand perception},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.18945295},
  doi={10.5281/zenodo.18945295}
}

@article{zharnikov2026r2,
  title={Spectral metamerism in brand perception: Projection bounds
         from high-dimensional geometry},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.18945352},
  doi={10.5281/zenodo.18945352}
}

@article{zharnikov2026r3,
  title={Cohort boundaries in high-dimensional perception space:
         A concentration of measure analysis},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.18945477},
  doi={10.5281/zenodo.18945477}
}

@article{zharnikov2026r4,
  title={How many brands can a market hold? Sphere packing bounds
         for multi-dimensional positioning},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.18945522},
  doi={10.5281/zenodo.18945522}
}

@article{zharnikov2026r5,
  title={Specification impossibility in organizational design:
         A high-dimensional geometric analysis},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.18945591},
  doi={10.5281/zenodo.18945591}
}

@article{zharnikov2026r6,
  title={Non-ergodic brand perception: Diffusion dynamics on
         multi-dimensional perceptual manifolds},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.18945659},
  doi={10.5281/zenodo.18945659}
}

@article{zharnikov2026r7,
  title={Spectral resource allocation: Demand-driven investment in
         multi-dimensional brand space},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.19009268},
  doi={10.5281/zenodo.19009268}
}

@article{zharnikov2026rendering,
  title={The Rendering Problem: From Genetic Expression to Brand Perception},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.19064427},
  doi={10.5281/zenodo.19064427}
}

@article{zharnikov2026r11,
  title={Why Eight? Completeness and Necessity of the SBT Dimensional
         Taxonomy},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.19207599},
  doi={10.5281/zenodo.19207599}
}

@article{zharnikov2026r12,
  title={Coherence type as crisis predictor: A formal derivation from
         non-ergodic dynamics},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.19208107},
  doi={10.5281/zenodo.19208107}
}

@article{zharnikov2026r13,
  title={Paper as Specification: A Machine-Readable Standard for
         Scientific Claims},
  author={Zharnikov, Dmitry},
  year={2026},
  url={https://doi.org/10.5281/zenodo.19210037},
  doi={10.5281/zenodo.19210037}
}

Machine-readable citations: SBT CITATION.cff | ACF CITATION.cff | R0 CITATION.cff | R1 CITATION.cff | R2 CITATION.cff | R3 CITATION.cff | R4 CITATION.cff | R5 CITATION.cff | R6 CITATION.cff | R7 CITATION.cff | Rendering Problem CITATION.cff | R11 CITATION.cff | R12 CITATION.cff | R13 CITATION.cff

Note on Cross-Cutting Papers

R13 (Paper as Specification), R14 (Research as Repository), and The Rendering Problem (2026l) are cross-cutting methodology pieces that apply equally to Spectral Brand Theory and Organizational Schema Theory. They live here for historical reasons (originated in sbt-papers before the orgschema-papers split) but are conceptually shared between the two frameworks. The sibling repository orgschema-papers cross-references them as part of the broader specification-first research program.

Companion Repositories

Repository Description
orgschema-papers Organizational Schema Theory research papers (sibling framework — operations side)
sbt-framework AI-native brand analysis toolkit — 7-module prompt kit with YAML templates
brand-code Executable brand identity specification — spectral palette, particle system source, AI-readable prompt
paper-spec Paper Spec v0.1.0 — machine-readable YAML standard for scientific claims, with validator and 24 examples
Substack Applied analysis articles on brand perception

Author

Dmitry Zharnikovdmitry@spectralbranding.com

Brand measurement scientist and framework designer. Creator of Spectral Brand Theory, an AI-native approach to modeling how brands form in the observer's mind. Background in financial systems engineering and applied epistemology.

License

All papers are released under MIT License. Use, cite, and build upon this work freely with attribution.

Trademarks

"Spectral Brand Theory" and "Brand Code" are trademarks of Dmitry Zharnikov. The MIT license applies to the source code and text only and does not grant permission to use the project trademarks. You may cite, reference, and build upon this work freely, but derivative works should not use these names in ways that imply endorsement or official affiliation.

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Research papers on Spectral Brand Theory: a multi-dimensional framework for brand perception, AI-mediated brand measurement, and the geometry of observer cohorts. Mathematical foundations, empirical studies, and methodology papers.

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