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A Fully Unified Quantum–Geometric Embedding of All Fundamental Interactions in E₈ F-theory

preprint posted on 2025-12-13

Terry L. / Terry D. Vines

Квадрат Пифагора как философско-нумерологическая модель: структура, интерпретация и современные исследования / Numerical Ontology and the Doctrine of Zero: A Philosophical Inquiry into the Pythagorean Square

journal contribution posted on 2025-12-12

Aleksey Pogrebnoj-Alexandroff

A Self-Referential Incompressibility Program for the P vs NP Separation (Opus Magnum III) – From Kolmogorov Complexity to Distributional Hardness

preprint posted on 2025-12-07

Paweł Chomiuk

Granular Harmony Mixed Radix Balanced Gray Codes.pdf

preprint posted on 2025-12-06

Chris Korda

$A C1,1C^{1,1}C1,1 Continuum Limit of Two-Foliation CDT with a Spontaneous Thermodynamic Arrow$

A C1,1C^{1,1}C1,1 Continuum Limit of Two-Foliation CDT with a Spontaneous Thermodynamic Arrow

preprint posted on 2025-11-30

Jaewon(Robert) Lee

ONLINE RESOURCE

Hypatian Physics Lean4-Verified Framework Recursive Expansive Algebraic-Geometric Quantum Gravity, Particle Physics, and Cosmology

online resource posted on 2025-11-25

Del Bel, Julian

ONLINE RESOURCE

Recursive-Expansive Dynamics Frameworks Formalization with Negation Isolation and Inverse Zero Operators

online resource posted on 2025-11-25

Del Bel, Julian

The Christmas Tree Theorem

preprint posted on 2025-11-20

Maurizio Estefano Mendoza Martínez

Fionic Unified Field Theory:Information, Geometry, Quantum Fields, Biology, and Consciousness

preprint posted on 2025-11-19

Paweł Chomiuk

SOFTWARE

Testing almost cospectrality of components of NEPS

software posted on 2025-11-17

Ivan Stankovic

POLYNOMIAL BOUNDS ON CONSECUTIVE ODD ITERATIONS IN THE COLLATZ PROCESS

preprint posted on 2025-11-12

Rayan Bhuttoo

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

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 Collatz Map as a Modular Operation on Consecutive Integers: A Unified Algebraic Reformulation and its Corollaries

preprint posted on 2025-10-21

Rayan Bhuttoo

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

Relative Uniqueness in Random Sets: Rederivation using the Birthday Paradox

journal contribution posted on 2025-10-14

Ayaan Tahir

Proof of the abc Conjecture

preprint posted on 2025-10-10

Prajay Sajjan Thul

Latin Subrectangles

thesis posted on 2025-10-08 in Monash University

Jack Allsop

Arithmetic Dynamics with Guaranteed Convergence: A Prime–Composite Iteration Theorem

preprint posted on 2025-10-05

Rayan Bhuttoo

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

福來陳

AI-Driven Algorithm Discovery and Geometric Transformations: A Dual-Path Agenda for Advancing NP-Complete Problem Solving

preprint posted on 2025-10-02

William Tennant

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無題項目

preprint posted on 2025-09-25

福來陳

The Twin Prime Conjecture: Collapse-Band Parity Cancellation and Operator Proof

dataset posted on 2025-09-21

Ai: A Toaster with a God Complex On the Pathetic State of Artificial Intelligence and Its VainAttempts to Be Smarter Than a Toaster (English version)

journal contribution posted on 2025-09-19

Aleksey Pogrebnoj-Alexandroff

6months

14days

FILES UNDER EMBARGO

Proof of the abc Conjecture.pdf

thesis posted on 2025-09-18

Prajay Sajjan Thul

Proof_of_the_abc_Conjecture.pdf

preprint posted on 2025-09-18

Prajay Sajjan Thul

A Higher-Dimensional Universal Curvature Equivalence Theorem:- Tensorial and Global Extensions to Gauss--Bonnet-Chern - (UCET -4) (Fourth research paper on UCET Series)

preprint posted on 2025-09-10

SIVARAM JANAKARAJ

A Global Universal Curvature Equivalence Theorem - Discrete and Stochastic Gauss--Bonnet Extensions - (UCET-3) (The third research paper in UCET Series)

preprint posted on 2025-09-08

SIVARAM JANAKARAJ

Hexprime Sets {Hx’}

poster posted on 2025-09-07

Stephen Toussaint

A Multiplicative Improvement for 3-AP-Free Transversals on Zm Ã_ Zn

preprint posted on 2025-09-07

Tanvith Reddy

A Stochastic Universal Curvature Equivalence Theorem - Convergence of Curvature Estimators under Random Sampling and Noise (Second research paper of UCET series) (UCET-2)

preprint posted on 2025-09-05

SIVARAM JANAKARAJ

The Discrete Universal Curvature Equivalence Theorem (UCET)

preprint posted on 2025-09-04

SIVARAM JANAKARAJ

DATASET

Cost Function Firefighter Simulation Data

dataset posted on 2025-09-04

Этимологическая реконструкция и археологические гипотезы: двойное происхождение слова «кру́жка» и его связь с доисторическими технологиями / Etymological Reconstruction and Archaeological Hypotheses: The Dual Origin of the Word "Krúzhka" and Its Connection to Prehistoric Technologies

journal contribution posted on 2025-09-03

Aleksey Pogrebnoj-Alexandroff

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

dataset posted on 2025-08-20

Proof of a Combinatorial Identity

journal contribution posted on 2025-08-18

Danilo Chavez

Proof by Trust - The Collatz Conjecture Solution.pdf

dataset posted on 2025-08-13

Eric Cooper

Una Demostración de la Conjetura Fuerte de Goldbach

preprint posted on 2025-08-10

A Proof of the Strong Goldbach Conjecture

preprint posted on 2025-08-10

Pure mathematics

A Fully Unified Quantum–Geometric Embedding of All Fundamental Interactions in E₈ F-theory

A Self-Referential Incompressibility Program for the P vs NP Separation (Opus Magnum III) – From Kolmogorov Complexity to Distributional Hardness

Granular Harmony Mixed Radix Balanced Gray Codes.pdf

A C1,1C^{1,1}C1,1 Continuum Limit of Two-Foliation CDT with a Spontaneous Thermodynamic Arrow

Hypatian Physics Lean4-Verified Framework Recursive Expansive Algebraic-Geometric Quantum Gravity, Particle Physics, and Cosmology

Recursive-Expansive Dynamics Frameworks Formalization with Negation Isolation and Inverse Zero Operators

The Christmas Tree Theorem

Fionic Unified Field Theory:Information, Geometry, Quantum Fields, Biology, and Consciousness

Testing almost cospectrality of components of NEPS

POLYNOMIAL BOUNDS ON CONSECUTIVE ODD ITERATIONS IN THE COLLATZ PROCESS

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

<b>A Proposed Resolution of the Non-Existence of Odd Perfect Numbers </b><sup><em>within the Primordial Model:A Didactic,Fully Verified Perimeter Closure</em></sup>

Prime Weights and Spectra

The Collatz Map as a Modular Operation on Consecutive Integers: A Unified Algebraic Reformulation and its Corollaries

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

Relative Uniqueness in Random Sets: Rederivation using the Birthday Paradox

<b>Proof of the abc Conjecture</b>

Latin Subrectangles

Arithmetic Dynamics with Guaranteed Convergence: A Prime–Composite Iteration Theorem

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

<b>AI-Driven Algorithm Discovery and Geometric Transformations: A Dual-Path Agenda for Advancing NP-Complete Problem Solving</b>

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無題項目

The Twin Prime Conjecture: Collapse-Band Parity Cancellation and Operator Proof

Ai: A Toaster with a God Complex On the Pathetic State of Artificial Intelligence and Its VainAttempts to Be Smarter Than a Toaster (English version)

<b><i>Proof of the abc Conjecture.pdf</i></b>

Proof_of_the_abc_Conjecture.pdf

A Higher-Dimensional Universal Curvature Equivalence Theorem:- Tensorial and Global Extensions to Gauss--Bonnet-Chern - (UCET -4) (Fourth research paper on UCET Series)

A Global Universal Curvature Equivalence Theorem - Discrete and Stochastic Gauss--Bonnet Extensions - (UCET-3) (The third research paper in UCET Series)

<b>Hexprime</b> <b>Sets</b><b> {Hx’}</b>

A Multiplicative Improvement for 3-AP-Free Transversals on Zm Ã_ Zn

A Stochastic Universal Curvature Equivalence Theorem - Convergence of Curvature Estimators under Random Sampling and Noise (Second research paper of UCET series) (UCET-2)

The Discrete Universal Curvature Equivalence Theorem (UCET)

Cost Function Firefighter Simulation Data

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

Proof of a Combinatorial Identity

Proof by Trust - The Collatz Conjecture Solution.pdf

<b>Una Demostración de la Conjetura Fuerte de Goldbach</b>

<b>A Proof of the Strong Goldbach Conjecture </b>

Pure mathematics

A Fully Unified Quantum–Geometric Embedding of All Fundamental Interactions in E₈ F-theory

A Self-Referential Incompressibility Program for the P vs NP Separation (Opus Magnum III) – From Kolmogorov Complexity to Distributional Hardness

Granular Harmony Mixed Radix Balanced Gray Codes.pdf

A C1,1C^{1,1}C1,1 Continuum Limit of Two-Foliation CDT with a Spontaneous Thermodynamic Arrow

Hypatian Physics Lean4-Verified Framework Recursive Expansive Algebraic-Geometric Quantum Gravity, Particle Physics, and Cosmology

Recursive-Expansive Dynamics Frameworks Formalization with Negation Isolation and Inverse Zero Operators

The Christmas Tree Theorem

Fionic Unified Field Theory:Information, Geometry, Quantum Fields, Biology, and Consciousness

Testing almost cospectrality of components of NEPS

POLYNOMIAL BOUNDS ON CONSECUTIVE ODD ITERATIONS IN THE COLLATZ PROCESS

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

<b>A Proposed Resolution of the Non-Existence of Odd Perfect Numbers </b><sup><em>within the Primordial Model:A Didactic,Fully Verified Perimeter Closure</em></sup>

Prime Weights and Spectra

The Collatz Map as a Modular Operation on Consecutive Integers: A Unified Algebraic Reformulation and its Corollaries

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

Relative Uniqueness in Random Sets: Rederivation using the Birthday Paradox

<b>Proof of the abc Conjecture</b>

Latin Subrectangles

Arithmetic Dynamics with Guaranteed Convergence: A Prime–Composite Iteration Theorem

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

<b>AI-Driven Algorithm Discovery and Geometric Transformations: A Dual-Path Agenda for Advancing NP-Complete Problem Solving</b>

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 敘拉古猜想無題項目

The Twin Prime Conjecture: Collapse-Band Parity Cancellation and Operator Proof

Ai: A Toaster with a God Complex On the Pathetic State of Artificial Intelligence and Its VainAttempts to Be Smarter Than a Toaster (English version)

<b><i>Proof of the abc Conjecture.pdf</i></b>

Proof_of_the_abc_Conjecture.pdf

A Higher-Dimensional Universal Curvature Equivalence Theorem:- Tensorial and Global Extensions to Gauss--Bonnet-Chern - (UCET -4) (Fourth research paper on UCET Series)

A Global Universal Curvature Equivalence Theorem - Discrete and Stochastic Gauss--Bonnet Extensions - (UCET-3) (The third research paper in UCET Series)

<b>Hexprime</b> <b>Sets</b><b> {Hx’}</b>

A Multiplicative Improvement for 3-AP-Free Transversals on Zm Ã_ Zn

A Stochastic Universal Curvature Equivalence Theorem - Convergence of Curvature Estimators under Random Sampling and Noise (Second research paper of UCET series) (UCET-2)

The Discrete Universal Curvature Equivalence Theorem (UCET)

Cost Function Firefighter Simulation Data

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

Proof of a Combinatorial Identity

Proof by Trust - The Collatz Conjecture Solution.pdf

<b>Una Demostración de la Conjetura Fuerte de Goldbach</b>

<b>A Proof of the Strong Goldbach Conjecture </b>

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

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無題項目