Latest Research in Advanced Mathematical Theories and Applications

Top Research Topics in Advanced Mathematical Theories and Applications

• Quasicrystal Structures and Properties — 203 papers
• Quantum Mechanics and Applications — 139 papers
• Advanced Mathematical Theories and Applications — 65 papers
• Topological Materials and Phenomena — 44 papers
• Quantum and Classical Electrodynamics — 42 papers
• International Science and Diplomacy — 39 papers
• Intelligence, Security, War Strategy — 34 papers
• Algebraic and Geometric Analysis — 33 papers
• Quantum many-body systems — 32 papers
• Space Science and Extraterrestrial Life — 32 papers

Highest-Cited Papers

1. From Distinction to Information: An Exact, Parameter-Free and Machine-Closed Derivation of Information Science from Smithian Fold Theory (6 citations)
2. FRC 100.000 v1.2 - Start Here: Canonical Stance and Version-Aware Reading Map (3 citations)
3. From Nothing to Fold: A Premise-Free, Parameter-Free and Machine-Closed Foundation for Smithian Fold Theory (10 citations)
4. What a Self Is: The Hard Problem and Binding Problem Resolved as the Fold Reaching Unison (1 citations)
5. The Physically Admissible System Cut: When a tensor factorization is a physical subsystem: an exact and a quantitative criterion (2 citations)
6. Entanglement Without Spookiness: Shared Origin, Product Structure, and Correlation Without a Travelling Signal (1 citations)
7. PFUSRC-132L-Digital Root as Decimal Projection of Living Calculus
8. PFUSRC-132L-Digital Root as Decimal Projection of Living Calculus
9. PFUSRC-132I Gödel's Incompleteness Theorems and the Boundary of Three-Dimensional Static Slice: Layer Attribution Repositioning
10. PFUSRC-132I Gödel's Incompleteness Theorems and the Boundary of Three-Dimensional Static Slice: Layer Attribution Repositioning
11. Structural Coarsening and Compatible Representations: A Formal Framework for Transformation Classes, Invariants, and Quotient Partitions
12. MERLIN SCIENCE — Dynamic Chiral E8 Lattice with Time‑Embedded Links — E8 Intelligence Research
13. Jomon Law of Motion
14. Structural Coarsening and Compatible Representations: A Formal Framework for Transformation Classes, Invariants, and Quotient Partitions
15. A Theoretical Derivation of the Kármán Constant: From Hopf Solitons to a Universal Constant of Turbulence
16. Quantum Geometry of Coupled Tetrahedral Cells in Chrono-Grid Dynamics: Exact Diagonalization, Generic Zero-Energy Kernels, and Entanglement Generation
17. Cross-Sector Pattern from Two Constants: Eight Standard-Model Observables Constrained by p and q
18. A Derivation Extending from the Most Fundamental Level to Quantum Particles and Matter: A Candidate Equation Set for the Field Equations
19. Binary Cuntz Bridge Framework v1.0: Corrected Scale Relation and Conditional Spin(10) Phenomenology
20. E8 Sexagesimal Lattice for Phi‑Modulated Prediction of Planetary Conjunctions — E8 Intelligence Research