Python in Dual-Space software engineering

Hi All,

I started a project inspired by my knowledge in physics in software
engineering.

I found one could find a framework based on convex analysis, optimization
and duality theory to classify and diagonise programming languages
performance qualitatively

Below you find the abstract and link to the full article at researchgate.net


I included python which is a beautiful coding language, highly convex in
our terms besides other languages.

Thanks in advance for suggestions and comments!

The abstract is :
Drawing inspiration from Dual-Space Engineering (DSE) in physical systems
[1], we map the concepts of primal/dual spaces and topological invariants
to the domain of software architecture. In this paper, we introduce a
rigorous mathematical framework for software engineering by applying
functional analysis, category theory, and algorithmic information theory.
We formalize the relationship between the imperative Primal Space X and the
declarative Dual Space Y via categorical adjunctions, and introduce the
Stepanov Regularity Condition based on Stepanov's algebraic foundations of
programming [2, 3]. We define the Semantic Duality Gap as a natural
transformation between monadic embeddings, and establish that strong static
type systems act as a form of topological protection via Homotopy Type
Theory (HoTT). We argue that the space of imperative programs is
fundamentally non-convex due to state entanglement, whereas the space of
Stepanov-regular, purely functional programs exhibits a convex-like
structure. We define the Software Compressibility Paradox, demonstrating
that highly organized code possesses high Duality Richness (C D) and
minimal Kolmogorov complexity. Finally, we present the Proximal Dual-Space
Refactoring (PDSR) algorithm, provide a rigorous computational complexity
analysis, and conduct a comprehensive topological analysis of modern and
historical programming languages, positioning DSE as a unifying theory for
software aesthetics and formal methods.

The full paper is here

https://www.researchgate.net/publication/408133115_Dual-Space_Software_Engineering

Best Wishes,
Walid