Length–Mass Reduction (LMR) Theory Paper II: Lattice, Perturbation, and Persistence
Abstract
This paper extends the Length–Mass Reduction (LMR) codex established in Paper I by deriving the minimal structural consequences of admitting a discrete lattice substrate. Proceeding from a limited axiomatic admission of structure, it develops definitions and propositions concerning perturbation, compression, persistence, and propagation without appeal to forces, fields, or dynamics. Compression is treated as a relational departure from the free lattice unit, persistence as the inhibition of redistribution, and propagation as admissible reconfiguration rather than motion driven by interaction. No empirical assumptions, conservation principles, or equations of motion are introduced. Paper II functions as a foundational refinement, establishing the structural primitives required for later correspondence or physical interpretation
Fields of Study & Subjects
Elasticity and Material Modeling
Philosophy and History of Science
Structural Analysis and Optimization
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 7 January 2026
- Document type
- Preprint