Foundation F: Quark Model of Semiotic Concepts in Classical Mechanics

This paper applies the **First Law of Nature Semiotics** (Foundation B) to the structure of Classical Mechanics. It demonstrates how physical concepts (mass, path, time) function as a **metalanguage** for constructing more complex notions. Borrowing the quark model from particle physics, we introduce **Elementary Mechanical Quarks (EMQs)** – mass (m), path (S), time (t) – and **Compound Mechanical Quarks (CMQs)** as their combinations with various exponents. A novel definition of **spin** is introduced: the spin of a CMQ equals the **number of independent dimensions (parameters)** required to fully describe the quantity in a multidimensional space. This connects the quark model directly to the **multidimensional mathematics of PTV (Core D)**.A systematic three-dimensional classification table is constructed, revealing all possible mechanical quantities and opening possibilities for discovering new, useful concepts. This work serves as **Foundation F** for the Physical Theory of Value (PTV), illustrating how semiotic principles and dimensional analysis can systematically generate and organize knowledge.