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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 ~6,400 37 10.5281/zenodo.18945912 Preprint
The Atom-Cloud-Fact Epistemological Pipeline ~4,100 19 10.5281/zenodo.18944770 Preprint

Mathematical Foundations (R0-R7)

Eight companion papers establishing formal mathematical foundations for SBT:

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

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).

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 (Hermes, 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}
}

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

Companion Repositories

Repository Description
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
Substack Applied analysis articles on brand perception

Author

Dmitry Zharnikovdmitry@spectralbranding.com

Brand strategist and computational 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.

About

Research papers on Spectral Brand Theory. 10 papers: SBT framework (2026a), epistemological foundations (2026b), and 8 mathematical foundations (R0-R7) covering metric geometry, metamerism, cohort boundaries, sphere packing, specification impossibility, diffusion dynamics, and resource allocation.

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