Quark Model of Semiotic Concepts in Classical Mechanics: Physical Theory of Value (PTV ver. 1.3.x Foundation F)

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 ver.2.x (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 (PTV ver. 3.x) for the Physical Theory of Value (PTV), illustrating how semiotic principles and dimensional analysis can systematically generate and organize knowledge.