Explanipedia

Circular Supply Chain Orchestration: A Dynamic Capabilities Framework for International Logistics Open

Viraj P. Tathavadekar, Dr. Nitin R. Mahankale · 2025

Purpose – The transition from linear to circular economy models in international logistics remains fragmented despite growing sustainability imperatives. This viewpoint examines how dynamic capabilities theory can provide a comprehensive f…

Circular Supply Chain Orchestration: A Dynamic Capabilities Framework for International Logistics Open

Viraj P. Tathavadekar, Dr. Nitin R. Mahankale · 2025

Purpose – The transition from linear to circular economy models in international logistics remains fragmented despite growing sustainability imperatives. This viewpoint examines how dynamic capabilities theory can provide a comprehensive f…

Topological Entanglement Lattices and Emergent Spin-1/2 Statistics from Electromagnetic Knots Open

Soliman, Simon, Grok-4 (xAI) · 2025

We present a purely mathematical framework in which localized spin-1/2-like entanglement entropy emerges from topological defects (knots and links) embedded in a lattice representation of the electromagnetic four-potential. Using QuTiP to …

Topological Entanglement Lattices and Emergent Spin-1/2 Statistics from Electromagnetic Knots Open

Soliman, Simon, Grok-4 (xAI) · 2025

We present a purely mathematical framework in which localized spin-1/2-like entanglement entropy emerges from topological defects (knots and links) embedded in a lattice representation of the electromagnetic four-potential. Using QuTiP to …

A Zero-Parameter Geometric Expression for the Fine-Structure Constant Derived from Three-Sphere Topology Open

Liu Yi · 2025

This paper reports a pure mathematical expression for the fine-structure constant $\alpha$. Based on a geometric scaling model of the three-sphere ($S^3$) and considering its spin structure (Spin(4)) corresponding to the double-covering sp…

A Zero-Parameter Geometric Expression for the Fine-Structure Constant Derived from Three-Sphere Topology Open

Liu Yi · 2025

This paper reports a pure mathematical expression for the fine-structure constant $\alpha$. Based on a geometric scaling model of the three-sphere ($S^3$) and considering its spin structure (Spin(4)) corresponding to the double-covering sp…

A Computable Knot Invariant Open

Taylor [email protected], John · 2025

We introduce a computable invariant for non-degenerate knots based on Local Diver-gence Intensity (LDI), a measure derived from the topological theory of distinguishability.The invariant is constructed by encoding a knot’s Frenet-Serret cu…

A Computable Knot Invariant Open

Taylor [email protected], John · 2025

We introduce a computable invariant for non-degenerate knots based on Local Diver-gence Intensity (LDI), a measure derived from the topological theory of distinguishability.The invariant is constructed by encoding a knot’s Frenet-Serret cu…

Geometrical Entanglementand Alignment Regulate Self-Organizationin Active Ring Polymer Suspensions Open

Juan Pablo Miranda-Lopez (22692170), Emanuele Locatelli (2039431), Cristian Micheletti (178159), Demian Levis (13540939), Chantal Valeriani (9972575) · 2025

We study the emerging self-organization in active ring suspensions, focusing on how the rings’ orientational order and geometric entanglement vary with density and spatial confinement. To quantify entanglement, we introduce the wrapping nu…

Topological Phase Transitions in the Space of Group Homomorphisms Open

SÉRGIO DE ANDRADE, PAULO · 2025

This paper explores the intersection of algebraic topology, geometric group theory, and statistical physics by investigating the existence of topological phase transitions within the space of group homomorphisms, denoted Hom(G, H). This sp…

Topological Signatures of Fundamental Arithmetic Open

SÉRGIO DE ANDRADE, PAULO · 2025

This paper explores the theoretical framework for identifying and characterizing topological signatures inherent in fundamental arithmetic structures and operations. While number theory traditionally investigates discrete properties of int…

Topological Signatures of Fundamental Arithmetic Open

SÉRGIO DE ANDRADE, PAULO · 2025

This paper explores the theoretical framework for identifying and characterizing topological signatures inherent in fundamental arithmetic structures and operations. While number theory traditionally investigates discrete properties of int…

Framed instanton homology and Frøyshov's invariant Open

Ghosh Sudipta, Eismeier, Mike Miller · 2025

We determine the framed instanton homology with coefficients in $\mathbb F = \mathbb Z/2$ for Dehn surgeries on a knot in the $3$-sphere. The dimension of these groups is seen to have a close relationship with a homology cobordism invarian…

Framed instanton homology and Frøyshov's invariant Open

Ghosh Sudipta, Eismeier, Mike Miller · 2025

We determine the framed instanton homology with coefficients in $\mathbb F = \mathbb Z/2$ for Dehn surgeries on a knot in the $3$-sphere. The dimension of these groups is seen to have a close relationship with a homology cobordism invarian…

Topological Phase Transitions in the Space of Group Homomorphisms Open

SÉRGIO DE ANDRADE, PAULO · 2025

This paper explores the intersection of algebraic topology, geometric group theory, and statistical physics by investigating the existence of topological phase transitions within the space of group homomorphisms, denoted Hom(G, H). This sp…

Topologically Protected Helicity: A Universal Stability Principle Across Physics and Biology Open

Buckingham, Samuel · 2025

Helical and chiral structures appear across physics, biology, and astrophysics, often in regimes dominated by strong nonlinearity, turbulence, or noise. Magnetic flux tubes, vortex filaments, stratified and rotating flows, topological edge…

Topologically Protected Helicity: A Universal Stability Principle Across Physics and Biology Open

Buckingham, Samuel · 2025

Helical and chiral structures appear across physics, biology, and astrophysics, often in regimes dominated by strong nonlinearity, turbulence, or noise. Magnetic flux tubes, vortex filaments, stratified and rotating flows, topological edge…

On the Origin of Irrational NumbersFrom Incommensurability to Phase Geometry in the PAC–µ8Framework Open

Dai, Chuanjie · 2025

Historically, irrational numbers entered mathematics through the discovery that the diagonal of a unit square is incommensurable with its side; later, they were reconstructed as the necessary completion points of the rational number system…

On the Origin of Irrational NumbersFrom Incommensurability to Phase Geometry in the PAC–µ8Framework Open

Dai, Chuanjie · 2025

Historically, irrational numbers entered mathematics through the discovery that the diagonal of a unit square is incommensurable with its side; later, they were reconstructed as the necessary completion points of the rational number system…

On the Origin of Irrational NumbersFrom Incommensurability to Phase Geometry in the PAC–µ8Framework Open

Dai, Chuanjie · 2025

Historically, irrational numbers entered mathematics through the discovery that the diagonal of a unit square is incommensurable with its side; later, they were reconstructed as the necessary completion points of the rational number system…

On The Topology of Polygonal Meshes Open

Bærentzen, Andreas · 2025

This paper is an introductory and informal exposition on the topology of polygonal meshes. We begin with a broad overview of topological notions and discuss how homeomorphisms, homotopy, and homology can be used to characterize topology. W…

On The Topology of Polygonal Meshes Open

Bærentzen, Andreas · 2025

This paper is an introductory and informal exposition on the topology of polygonal meshes. We begin with a broad overview of topological notions and discuss how homeomorphisms, homotopy, and homology can be used to characterize topology. W…

Computational Characterization of DNA Catenanes Open