ABSTRACT:

A new theory for psychology has been proposed in this work, the core of which is founded on understanding and codifying the material basis of psychology as a behavioral science in the age of both biological and artificial systems that are capable of not just awareness and perception but also learning and behavior/reaction. The purpose was especially to build a foundation via which future work in psychology might take advantage of Transformatics as a coherent body of mathematical ideologies and techniques that are universally applicable in any science. A significant share of this work built upon earlier, and recent results in especially theory, by the author, concerning new mathematical ideas under the umbrella of Transformatics, and how they have been successfully applied to another biological discipline, Genetics, of which, and as we argue in the later sections of this work, likewise serves as a basis for much of the empirical subjects in psychology. Thus, starting from some fundamentals of what defines psychology as a scientific discipline, we steadily build a new approach to some fundamental ideas and concepts in this subject, especially from the point of view of someone already familiar with how transformatics helps establish new foundations for any science, and from which we then demonstrate how to build or evolve new ideas, most of them mathematical, or philosophical using that method, and which then serves to bring forth a new light to this fundamental science of the mind. As far as results are concerned, we have advanced two working definitions of psychology, one originally by the author, have proposed four important problems for students and readers to use to further the ideas presented in the this work, and have not only presented for the first time, an original mathematical definition of blood, but have also gone ahead, to demonstrate how it could be used to unambiguously specify physiological and psychological pathologies with immediate clinical relevance as laid out in two theorems concluding this present undertaking. We have called out several next steps as well as how other researchers might carry forward the work we have started here.

KEYWORDS: Foundations, Transformatics, Statistical Artificial Intelligence, Information Processing, Sequence Transformers, Perception, Sensing, Actuators, Physiology, Psychology, Blood, Mind, Consciousness

BOOK-PREPRINT: DOI: https://doi.org/10.6084/m9.figshare.30231748

TO CITE:

@article{Lutalo2025transpsy,
  author = "Joseph Willrich Lutalo",
  title = "{Transformatics for PSYCHOLOGY}",
  year = "2025",
  month = "9",
  note = "Accessible via: https://doi.org/10.6084/m9.figshare.30231748",
  doi = "10.6084/m9.figshare.30231748"
}

TRANSFORMATICS for PSYCHOLOGY (2nd OCT 2025) | the conference (13th International East African Psychology Conference: https://ieapc.unik.ac.ug/) |University of KISUBI | Fut. Prof. JWL presentation deck

On 1 page, 10 foundational results that help establish and guide the foundations of Transformatics as its own branch of mathematics.

TITLE: Transformatics 101

The Answer To: But what really is this TRANSFORMATICS all about? Why is it necessary and where is it being applied?

ABSTRACT:

In only 10 general foundational results --- all based on earlier mathematical research by the author, we distill and establish, in a summarized form, the core foundations of Transformatics as its own mathematical theory, branch, or discipline. In this presentation, each foundational result is accompanied by one or more references to some earlier work where the idea or presented concept was first developed, presented, or applied by the author during their research.

KEYWORDS: Foundations, Transformatics, Sequence Analysis, Sequence Transformers

DOI: https://doi.org/10.6084/m9.figshare.30285106
URL: https://www.academia.edu/144314085/Transformatics_101

CITE:

@article{Lutalo2025_trans_101,
author = "Joseph Willrich Lutalo",
title = "{Transformatics 101}",
year = "2025",
month = "10",
publisher = "Figshare",
journal = "Thesis",
url = "https://figshare.com/articles/thesis/Transformatics_101/30285106",
doi = "10.6084/m9.figshare.30285106.v1",
note = "A first distillation of the essential foundations of Transformatics as its own field of mathematics. Accessible via: \url{https://doi.org/10.6084/m9.figshare.30285106.v1}"
}

TRANSFORMATICS 101 - explained | 12 JAN 2026 | Fut. Prof. JWL | https://tea.nuchwezi.com

Now we can understand the theory behind such a higher-order transformer such as this Sequence Characteritic Graph Generator for statistical analysis of anything:

#SC-Graph Generator #v1.0.1
v:vIN|u!:|v:vMSS|v:vSC:{}|l:lPROC|y:vMSS|d!:^.|v:vW|y:vMSS|d:^.|v:vMSS|y:vW|f:^$:lEND|y:vIN|d*!:vW|v:|v!:|v:vF|v:vD:_|g*:_:vW:vF:vD|v:vSC1|g*:{}:vSC:vSC1|v:vSC|j:lPROC|l:lEND|y:vSC|r!:__:.|d:.$||r!:[.]:{ }|h!:{ }
#go try it via:
#tea.nuchwezi.com

#transformatics #appliedmathematics #sequencetransformers #tealanguage #modernmaths

----[ FROM UGANDA! HAPPY INDEPENDENCE DAY! ]

A Ugandan researcher, mathematician and computer scientist has successfully distilled, codified and presented the foundations of a new branch of mathematics known as TRANSFORMATICS. The highlights of this HUGE milestone are as shared hereafter:

---[MINI-THESIS DETAILS]:

TITLE: Transformatics 101 - explained
AUTHOR: Joseph Willrich Lutalo <jwl@nuchwezi.com>

ABSTRACT:

In only 10 general foundational results[1][2]-all based on earlier mathematical research by the author, as well as 10 extra abstractions spanning how transformatics might be leveraged as a basis mathematics for problems in; number theory and cryptography (o-SSIs); mathematical statistics (ADM, TCR, PCR, MSS, SC, PC); linear algebra (super sequences); computer science (TEA language, transformer-chains/sequence-transformers) and information theory (entropy of a sequence) among others, we distill and establish, in a summarized form, the core foundations of Transformatics[3] as its own mathematical theory, branch, or discipline. In this mini-thesis. Each foundational result presented is likewise accompanied by one or more references to some earlier work where the idea or presented concept was first developed, presented, or applied by the author during their research. Useful notes and commentary are also included where necessary, and in the extension decade of proposed abstractions, also commentary about how the proposals relate to the decade of foundational results likewise is catered for.

KEYWORDS: Foundations, Transformatics, Sequence Analysis, Sequence Transformers, Thesis

DOI: https://doi.org/10.6084/m9.figshare.30305056

CITE:

@article{Lutalo2025,
author = "Joseph Willrich Lutalo",
title = "{TRANSFORMATICS 101 - explained}",
year = "2025",
month = "10",
url = "https://figshare.com/articles/thesis/TRANSFORMATICS_101_-_explained/30305056",
doi = "10.6084/m9.figshare.30305056.v3",
note = {\textit{The academic use electronic reference paper is:} \url{https://doi.org/10.6084/m9.figshare.30305056.v3}}
}

BOOK-URL: http://bit.ly/transformatics101book

#thephds #universityofoxford #nuchweziresearch #profjwl #transformatics #modernmaths