Pure mathematics

Towards an Asymptotic Entropy Classification for Non-Compact Manifolds

preprint posted on 2025-11-12

Riccardo Pini

Recursive Tetrahedral-Octahedral Scaffold as a Geometric Model for Self-Similar Spacetime

preprint posted on 2025-11-11

Honeycomb Unit Decomposition as a Candidate for Quantum Spacetime Geometry

preprint posted on 2025-11-10

A Spectral-Geometric Proof of the Riemann Hypothesis: Every Zero Lies on the Critical Line (Submitted for Peer-Reveiw)

dataset posted on 2025-11-03

collatz 3x+1

media posted on 2025-11-03

BSD猜想

dataset posted on 2025-11-03

Riemann Hypothesis Solution: A Structured Hilbert-Polya Operator Realization via Entropy Geometry

dataset posted on 2025-11-02

ADecisive Proof of the Collatz Conjecture: Based on Binary Dynamics The Unified Structural Analysis via 2-adic Valuation and Structural CompulsionCollatz 予想の決定的証明：二進法力学に基づく 2-adic 賦値と構造強制論による統一的構造解析考拉茲猜想之決定性證明：基於二進制動力學透過2-adic 賦值與結構強制論的統一結構分析Ein entscheidender Beweis der Collatz-Vermutung: Basierend auf binärer Dynamik Die vereinheitlichte Strukturanalyse mittels 2-adischer Bewertung und Strukturkompulsion

preprint posted on 2025-11-02

ONLINE RESOURCE

Cross-modal Integration of Metabolomics and Cardiac Functionality Captures Dynamic Metabotoxic Effects of Doxorubicin in Engineered Heart Tissues

online resource posted on 2025-10-29

A Proposed Resolution of the Non-Existence of Odd Perfect Numbers within the Primordial Model:A Didactic,Fully Verified Perimeter Closure

preprint posted on 2025-10-28

Prime Weights and Spectra

preprint posted on 2025-10-26

Raw data of "Leveraging network motifs to improve artificial neural networks"

dataset posted on 2025-10-23

Honeyverse Bridge - From Quantum Realm to Cosmic Web

preprint posted on 2025-10-21

Honeycomb Spin Networks - A Geometric Interpretation of Quantum Spacetime

preprint posted on 2025-10-19

Affine Invariance and the Structural Resilience of the Honeycomb Lattice

preprint posted on 2025-10-19

An Analytic–Geometric Framework Bridging Hodge Theory and the Riemann ζ-Function: Unified Geometric Framework of Probability and Superasymmetry–Supersymmetry Duality

book posted on 2025-10-16

Hassan Rabbani

DATASET

GPS-Based Terrain Data for Benchmarking Digital Terrain Modeling Methods

dataset posted on 2025-10-14

SOFTWARE

MATLAB Script for Generating Terrain Contour Maps from XYZ Data

software posted on 2025-10-14

Primacy of Pattern-Honeycomb α as Geometry’s Signature

preprint posted on 2025-10-11

JOURNAL CONTRIBUTION

Topology-based terrain segmentation using Apache Spark

journal contribution posted on 2025-10-10

ANALYTIC AND GEOMETRIC ASPECTS OF FAMILIES OF ANCIENT RICCI FLOWS ON RIEMANNIAN MANIFOLDS

preprint posted on 2025-10-09

Ritam Chatterjee

3X+1 3n+1 猜想 Collatz 奇數偶數奇偶特性三膜雙映

thesis posted on 2025-10-05

考拉茲猜想證畢 3x+1 3n+1 陳福來 Collatz conjecture 奇偶歸一猜想、3n+ 冰雹猜想角谷猜想哈塞猜想烏拉姆猜想敘拉古猜想

preprint posted on 2025-10-05

On the moduli spaces of warped product ricci solitons

preprint posted on 2025-09-29

Ritam Chatterjee

Self-Regulating Tetrahedral Spin Network with Emergent Octahedral Geometry

preprint posted on 2025-09-26

S M Nazmuz Sakib Line–Minimum Law for Triangles: A Universal Beta(1, 2) Distribution and the Constant 1/3

preprint posted on 2025-09-25

S M Nazmuz Sakib Unitary Pathway Branching (UPB) Principle with the Sakib Number and Sakib Constant

preprint posted on 2025-09-25

S M Nazmuz Sakib Monotonicity Theorem and the Sakib Constants for GCD-Reciprocal Averages over Z/nZ

preprint posted on 2025-09-25

S M Nazmuz Sakib Areal Harmonic Mean Constant

preprint posted on 2025-09-25

S M Nazmuz Sakib Unitary Split Spectrum (USS): A Phase-Aware Local-Border Statistic for Genomic Sequences

preprint posted on 2025-09-25

The S M Nazmuz Sakib Causal–Diamond Isoperimetric Law: Universality of the Sakib Constants in Curved Spacetimes

preprint posted on 2025-09-25

Sakib Isoanisotropy Surfaces (SIS): A New Anchor-Driven Isocondition Geometry

preprint posted on 2025-09-25

S M Nazmuz Sakib Hyperboloid Steklov Gap Law: Exact 2D Symmetric Formula and Long-Neck Behavior

preprint posted on 2025-09-25

S M Nazmuz Sakib Hyperboloid Ruling–Weighted Spectral Gap

preprint posted on 2025-09-25

S M Nazmuz Sakib Axial Band-Dominance Principle and the Hyperboloidal ASCI Invariant: Threshold Law and Quadratic Ratio Growth on Truncated One-Sheet Hyperboloids

preprint posted on 2025-09-25

S M Nazmuz Sakib Manifolds: Isoentropy Geometry, Tropical Limits, and the S M Nazmuz Sakib Theorem on Voronoi–Tropical Convergence

preprint posted on 2025-09-25

S M Nazmuz Sakib Iso-Entropy Loci: Geometry of Normalized Inverse-Distance Fields

preprint posted on 2025-09-25

S M Nazmuz Sakib Loci: Geometry of Constant Inertia–Tensor Sphericity for Finite Weighted Point Sets

preprint posted on 2025-09-25

S M Nazmuz Sakib Star-Shape Visibility Principle: A Universal Bound and Attainment Criterion in Rn

preprint posted on 2025-09-25