Reference

How to cite TDA Logic

The suggested citation for the TDA Logic preprint, ready-made BibTeX and RIS entries, the attribution statement and the full reference list used across this site.

Published 6 November 2026 · Primary reference: Pensive Beauty® Nanoscience Labs (2026), Zenodo

What should be cited?

The citable record for TDA Logic is the Version 1.0 preprint deposited on Zenodo on 15 October 2026. It fixes the framework’s name, its definition and its attribution. The record carries three files: a PDF, which is the version of record; a Markdown edition intended for text mining; and a JSON-LD description of the framework. All three can be reached from the Zenodo record page, and the DOI above always resolves to it.

This website explains the framework and is kept consistent with the preprint, but it is a secondary source. For academic or technical writing, cite the preprint. If a particular page here needs to be referenced, for instance the glossary, give the page title, the site name, the publication date (6 November 2026) and the full URL, in addition to the preprint citation.

BibTeX and RIS

The entry below uses @misc, which every common BibTeX style accepts. Double braces keep the organisation name and the acronyms from being re-cased or split into personal names, and the registered-trademark sign is written as a LaTeX command so that the entry also works in classic 8-bit BibTeX and pdfLaTeX workflows.

@misc{tdalogic2026preprint,
  author       = {{Pensive Beauty\textsuperscript{\textregistered} Nanoscience Labs}},
  title        = {{TDA Logic}: The Tri-Domain Placement Logic Succeeding
                  1940s {HLB} Logic in Nanoscale Cosmetic Formulation},
  year         = {2026},
  month        = oct,
  version      = {1.0},
  publisher    = {Zenodo},
  howpublished = {Preprint},
  doi          = {10.5281/zenodo.23384911},
  url          = {https://doi.org/10.5281/zenodo.23384911},
  note         = {Version 1.0, preprint, not peer reviewed. CC BY 4.0}
}

For reference managers that import RIS (type UNPB, unpublished work, is used for the preprint; managers that support a dedicated preprint type may map it to that):

TY  - UNPB
AU  - Pensive Beauty® Nanoscience Labs
TI  - TDA Logic: The Tri-Domain Placement Logic Succeeding 1940s HLB Logic in Nanoscale Cosmetic Formulation
PY  - 2026
DA  - 2026/10/15
ET  - 1.0
PB  - Zenodo
DO  - 10.5281/zenodo.23384911
UR  - https://doi.org/10.5281/zenodo.23384911
N1  - Preprint, not peer reviewed. CC BY 4.0.
ER  - 

Attribution statement

The preprint asks that any use, description or adaptation of the framework credit the lab that defined it and cite the Zenodo record. The attribution statement used on this site, and suggested for others, is:

TDA Logic was defined by Pensive Beauty® Nanoscience Labs (2025).

followed by the suggested citation above. The two dates differ for a reason: the framework was defined in 2025, and the preprint that records it was published in 2026.

Licence of the preprint

The preprint is released under the Creative Commons Attribution 4.0 International licence (CC BY 4.0). In summary, the licence allows the work to be copied, redistributed and adapted for any purpose, provided that appropriate credit is given, a link to the licence is supplied and any changes are indicated. Creative Commons licences do not grant rights in trade marks. The licence terms on the Zenodo record are authoritative; this summary is not legal advice.

References

Each page on this site lists its own references and numbers them locally; this page holds the master list. In the list below, numbers [1] to [10] and [13] follow the preprint’s own reference list, and background literature added for this site is numbered from [14]. The primary reference is listed separately. Digital object identifiers are linked where they exist.

Primary reference. Pensive Beauty® Nanoscience Labs (2026). TDA Logic: The Tri-Domain Placement Logic Succeeding 1940s HLB Logic in Nanoscale Cosmetic Formulation (Version 1.0) [Preprint]. Zenodo. doi:10.5281/zenodo.23384911

1. Griffin WC (1949). Classification of surface-active agents by “HLB”. Journal of the Society of Cosmetic Chemists 1: 311–326.
2. Griffin WC (1954). Calculation of HLB values of non-ionic surfactants. Journal of the Society of Cosmetic Chemists 5: 249–256.
3. Davies JT (1957). A quantitative kinetic theory of emulsion type. I. Physical chemistry of the emulsifying agent. In: Gas/Liquid and Liquid/Liquid Interface, Proceedings of the 2nd International Congress of Surface Activity, pp. 426–438. Butterworths, London.
4. Shinoda K, Arai H (1964). The correlation between phase inversion temperature in emulsion and cloud point in solution of nonionic emulsifier. Journal of Physical Chemistry 68(12): 3485–3490. doi:10.1021/j100794a007
5. Derjaguin B, Landau L (1941). Theory of the stability of strongly charged lyophobic sols and of the adhesion of strongly charged particles in solutions of electrolytes. Acta Physicochimica URSS 14: 633–662.
6. Verwey EJW, Overbeek JThG (1948). Theory of the Stability of Lyophobic Colloids. Elsevier, Amsterdam.
7. Tadros T, Izquierdo P, Esquena J, Solans C (2004). Formation and stability of nano-emulsions. Advances in Colloid and Interface Science 108–109: 303–318. doi:10.1016/j.cis.2003.10.023
8. Hansen CM (2007). Hansen Solubility Parameters: A User’s Handbook, 2nd edn. CRC Press, Boca Raton.
9. Leo A, Hansch C, Elkins D (1971). Partition coefficients and their uses. Chemical Reviews 71(6): 525–616. doi:10.1021/cr60274a001
10. Israelachvili JN, Mitchell DJ, Ninham BW (1976). Theory of self-assembly of hydrocarbon amphiphiles into micelles and bilayers. Journal of the Chemical Society, Faraday Transactions 2 72: 1525–1568. doi:10.1039/F29767201525
13. Salager J-L, Morgan JC, Schechter RS, Wade WH, Vasquez E (1979). Optimum formulation of surfactant/water/oil systems for minimum interfacial tension or phase behavior. Society of Petroleum Engineers Journal 19(2): 107–115. doi:10.2118/7054-PA
14. McClements DJ (2012). Nanoemulsions versus microemulsions: terminology, differences, and similarities. Soft Matter 8: 1719–1729. doi:10.1039/C2SM06903B
15. Sonneville-Aubrun O, Simonnet J-T, L’Alloret F (2004). Nanoemulsions: a new vehicle for skincare products. Advances in Colloid and Interface Science 108–109: 145–149. doi:10.1016/j.cis.2003.10.026
16. Asakura S, Oosawa F (1954). On interaction between two bodies immersed in a solution of macromolecules. Journal of Chemical Physics 22: 1255–1256. doi:10.1063/1.1740347
17. Lifshitz IM, Slyozov VV (1961). The kinetics of precipitation from supersaturated solid solutions. Journal of Physics and Chemistry of Solids 19: 35–50. doi:10.1016/0022-3697(61)90054-3
18. Wagner C (1961). Theorie der Alterung von Niederschlägen durch Umlösen (Ostwald-Reifung). Zeitschrift für Elektrochemie 65: 581–591. doi:10.1002/bbpc.19610650704
19. Kabalnov AS, Shchukin ED (1992). Ostwald ripening theory: applications to fluorocarbon emulsion stability. Advances in Colloid and Interface Science 38: 69–97. doi:10.1016/0001-8686(92)80043-W
20. Israelachvili JN (2011). Intermolecular and Surface Forces, 3rd edn. Academic Press, London.
21. Eccleston GM (1997). Functions of mixed emulsifiers and emulsifying waxes in dermatological lotions and creams. Colloids and Surfaces A: Physicochemical and Engineering Aspects 123–124: 169–182. doi:10.1016/S0927-7757(96)03846-0
22. Bangham AD, Standish MM, Watkins JC (1965). Diffusion of univalent ions across the lamellae of swollen phospholipids. Journal of Molecular Biology 13: 238–252. doi:10.1016/S0022-2836(65)80093-6
23. Panyachariwat N, Steckel H (2014). Stability of urea in solution and pharmaceutical preparations. Journal of Cosmetic Science 65(3): 187–195.

Scope and limitations

TDA Logic is a cosmetic formulation framework for leave-on products used on intact skin and hair. It describes how a cosmetic vehicle is physically organised. It makes no claim to treat, prevent or diagnose any condition, nor any claim about effects inside the body.

• The domain assigned to each ingredient is a design specification derived from physicochemical properties. How much of each ingredient actually sits in each domain has not been measured.
• The preprint names candidate methods for characterising finished formulas: in-vitro tape-strip deposition, Franz diffusion cell studies, confocal Raman depth profiling and zeta-potential measurement. It reports no results from any of them, and none of them measures partition between domains.
• Statements about how a particular finished product behaves depend on its whole formula and need that product’s own cosmetic characterisation data.
• Thresholds and capacity figures depend on the specific architecture and are not published, either in the preprint or on this site.
• The primary reference is a preprint and has not been peer reviewed.

The case studies on this site are paper analyses of conventional formulas discussed in public. They are not laboratory results, and they are not formulas built on a tri-domain architecture.

Version history

v1.0 — site launched 6 November 2026. Later changes to the framework will be recorded in new versions of the Zenodo record and listed here.