qdRIS and the Standard Model Diagram A Structural Classification of Observable Physical Dynamics

This article develops a unified modelling framework for linear and linearised physical sys- tems,basedontheqdRISformalismandarticulatedthroughtheQuaternionicLaplaceTrans- form (QLT), the Log-Transfer Unitary (LTU), and the Standard Model Diagram (SMD). We demonstrate the well-definedness and invertibility of QLT and LTU within qdRIS, establish a universal classification of admissible components, and prove the equivalence between observ- ability and resolvability. The SMD is introduced as a transversal modelling language capable of representing systems across mechanics, electromagnetism, diffusion, quantum theory, and hybrid dynamics. Its operational rules, analytical capabilities, and compatibility with RIP architectures position qdRIS as a structural foundation for next-generation physics-aware computation.