Marchesello Golden Scaling Law
Abstract
The Marchesello Golden Scaling Law introduces a single, self-similar equation that unifies physical behavior across all observable scales. Derived from the golden ratio (\phi = \frac{1 + \sqrt{5}}{2}), the law replaces rigid universal constants with indexed tolerance bands governing allowable deviation in a four-dimensional quasicrystalline lattice projected into three-dimensional space.The law spans twelve discrete levels, from cosmic rigidity to complete mathematical dissolution, anchored by the rhombic dodecahedron — the space-filling cell of the 4D tesseract. The first six levels describe coherent, human-accessible physics; the latter six descend into increasing decoherence.This framework resolves longstanding paradoxes in scale-dependent behavior and provides a precise, measurable basis for engineering enhanced performance in fluid dynamics, materials, biology, and geophysics.Provenance: Immutable record on XRP LedgerTransaction IDs:473314A7551FABE9E5FED67A433D8976FF4F9379C7C37C65835917A6FF6A8C1A0C4AA67EE74AD28B1290498843E982E26706F37DF46765641B31E2DBB8C48DD920E792D948C3A687C062040E2661509D5A4956BF6A40C2363D030C92DAA8687F
Fields of Study & Subjects
Quasicrystal Structures and Properties
Theoretical and Computational Physics
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 1 January 2026
- Language
- EN