Pure mathematics

ONLINE RESOURCE

Collected Scientific and Interdisciplinary Works by Begüm Yıldırım (2024–2025)

online resource posted on 2025-11-15

Begüm Yıldırım

AU An Inductive, Recursive, and Fractal Foundation for Mathematics

preprint posted on 2025-11-13

Alessio Piccinotti

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

Matrix Modal Logics with Indeterminate Truth Values

journal contribution posted on 2025-11-09

Andrey M. Kuznetsov

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

BSD猜想

dataset posted on 2025-11-03

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

Maurizio Estefano Mendoza Martínez

The Fractal Decomposition Method: A New Paradigm for High-Dimensional Numerical Integration.

preprint posted on 2025-10-31

Theorem of Logical Consistency: A Priori Proof of the Unified Field Theory Axiom via Zeno's

preprint posted on 2025-10-31

Sang-un Lee

Logic Syllogistic reasoning Algorithms

presentation posted on 2025-10-29

Fedorchenko

A Comparative Review and Critique of Tree Algebras: Revisiting Gibbons (1991) Thesis in Light of Contemporary Modern Transformatics

online resource posted on 2025-10-29

Joseph Willrich Lutalo

ADecisive Proof of the Collatz Conjecture Based on Binary Dynamics and Structural Compulsion via 2-adic Valuation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

preprint posted on 2025-10-29

Quantum mechanics has long regarded Heisenberg’s Uncertainty Principle as an unavoidable limitation of measurement, expressing the inherent probabilism of nature. This paper reinterprets that limitation as the arithmetic grain of reality itself. Within the Primeon framework, every quantum state corresponds to a standing resonance on the Riemann-lattice, bounded by a finite coherence length Lp—the primeonic length—the smallest arithmetic cell permitted by the Primeon Exclusion Conjecture (PEC). The product ∆x∆p = hp/2 arises not from observer disturbance, but from the geometric indivisibility of-coherence. Thus, uncertainty is the shadow of arithmetic resolution, and quantum indeterminacy a misreading of arithmetic finitude. The apparent probabilistic nature of quantum mechanics emerges when continuous mathematics attempts to describe discrete-resonances, revealing that the universe is deterministic at the level of number.

figure posted on 2025-10-28

John de la Torre

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

The Cosmic Expansion: Characterizing the Primordial Universe from the Expanded Quantum String Theory with Gluonic Plasma (EQST-GP) Model

preprint posted on 2025-10-26

Prof Ahmed Ali

Primzahlrechner - Determistisch, voll berechnet.

software posted on 2025-10-25

Jeanette Leue

Embarking on Adventurous Journeys Through Some Subjects in Pure Mathematics

book posted on 2025-10-22

Tue Vu

Honeyverse Bridge - From Quantum Realm to Cosmic Web

preprint posted on 2025-10-21

哥德巴赫猜想的三路径形式化证明

preprint posted on 2025-10-20

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

黎曼猜想全域非平凡零点验证

preprint posted on 2025-10-18

On the Conceptual and Mathematical Foundations of the Theory of Entropicity (ToE): An Alternative Path toward Quantum Gravity and the Unification of Physics

preprint posted on 2025-10-17

John Onimisi Obidi

黎曼猜想的形式化证明：基于 ζ 函数解析性质与∞-范畴可缩性的机械可证方案

preprint posted on 2025-10-16

考拉茲猜想之決定性證明：基於二進制動力學 Collatz Conjecture: A Decisive Proof via Binary DynamicsADecisive Proof of the Collatz Conjecture: Based on Binary Dynamics Collatz Conjecture: A Decisive Proof via Structural CompulsionCollatz 予想の決定的証明：二進法力学に基づく構造強制論による統一解析 Collatz Conjecture: A Decisive Proof via Structural CompulsionEin entscheidender Beweis der Collatz-Vermutung: Basierend auf binärer Dynamik Collatz-Vermutung: Ein strukturkompulsiver BeweisBased on Binary Dynamics Collatz Conjecture: A Decisive Proof via Structural Compulsion

preprint posted on 2025-10-15

The Primordial Logic Gate: Pattern × Intent × Presence as the Recursive Origin of Reality

preprint posted on 2025-10-15

Coty Trout

Supplementary material from "Adaptive security strategic principles for complex socio-technical systems"

preprint posted on 2025-10-14

Enhanced_CH_Framework

preprint posted on 2025-10-14

CoqGCH

preprint posted on 2025-10-14