Swarmora: From the Simple Programming Command to the Internal Language — A Theoretical and Experimental Journey Through How Accumulated Abbreviations, via Composition, Experimentation, and Memory, Become a Self-Expressive System That Serves Code Execution and Evolves Freely

This paper proposes Swarmora Theory, a theoretical and experimental framework that begins with a simple principle: giving basic programming operations short symbols (words), composing these symbols into sequences (sentences) whose results are retained instead of discarded after each use, so that an "executional memory" gradually accumulates within the system itself. The paper presents a theoretical formulation of the principle (the word, the sentence, cumulative and distributed memory), along with a full series of computational experiments testing its validity honestly and transparently — from simple computational composition to physical simulation, through a rigorous statistical comparison, and up to an application on simplified chess endgames — clearly distinguishing cases that showed strong benefit from those that revealed real limitations. It also presents a standalone, general-purpose software library demonstrating a real, measurable speedup through automatic caching and concurrent task bundling. The paper concludes with a reflective philosophical framework on the nature of code's own existence (the "world of code": the instant, the cage, stillness, placelessness, and the intermediary), explicitly presented as an open question for discussion rather than a confirmed scientific result, along with an explicit correction regarding the limits of scientific originality of the technical components used.