Completeness (order theory)
View article: The Ontological Reconstruction of the Feynman Path Integral
The Ontological Reconstruction of the Feynman Path Integral Open
This paper presents a formal proof that the Feynman Path Integral formulation of Quantum Field Theory is not a fundamental postulate, but a derived consequence of the axiomatic system of Recursive Self-Relation (SDRIS C-2a1). I demonstrate…
View article: The Ontological Reconstruction of the Feynman Path Integral
The Ontological Reconstruction of the Feynman Path Integral Open
This paper presents a formal proof that the Feynman Path Integral formulation of Quantum Field Theory is not a fundamental postulate, but a derived consequence of the axiomatic system of Recursive Self-Relation (SDRIS C-2a1). I demonstrate…
View article: The Ghost of Time: A Unified Framework for Quantum Mechanics and Cosmology
The Ghost of Time: A Unified Framework for Quantum Mechanics and Cosmology Open
This repository contains the updated second version of “Towards a New Cosmology: Unifying Quantum Field Theory with the Cosmos”, introducing the Ghost-Time framework—a model in which time emerges from φ-activated recursion rather than bein…
View article: Analisis Strategi Optimal Persaingan Platform E-Commerce dengan Menggunakan Game Theory
Analisis Strategi Optimal Persaingan Platform E-Commerce dengan Menggunakan Game Theory Open
The development of information technology in the era of globalization continues to accelerate. This has brought significant changes in various fields, one of which is online business, namely e-commerce. This study aims to analyze competiti…
View article: BOSHLANG'ICH SINF MATEMATIKA DARSLARIGA KREATIV YONDASHUV
BOSHLANG'ICH SINF MATEMATIKA DARSLARIGA KREATIV YONDASHUV Open
Boshlang‘ich sinf matematika darslari o‘quvchilarda mantiqiy fikrlash, hisoblash ko‘nikmalarini shakllantirishda muhim ahamiyatga ega. Ushbu bosqichda darslarni faqat an’anaviy usullar bilan emas, balki kreativ yondashuv orqali o‘tkazish t…
View article: PULSAR: a Foundation Model for Multi-scale and Multicellular Biology
PULSAR: a Foundation Model for Multi-scale and Multicellular Biology Open
Biology emerges from interactions across physical scales, where molecular interactions drive cellular states, which in turn orchestrate multicellular tissue functions that collectively define health and disease. However, current computatio…
View article: A Novel Street View MVS Pipeline with Edge-Enhanced Sky Masking and Cross Algorithm Data Fusion
A Novel Street View MVS Pipeline with Edge-Enhanced Sky Masking and Cross Algorithm Data Fusion Open
MVS (Multi-View Stereo) establishes dense correspondences among multiple calibrated images to generate 3D point clouds, which has broad applications in fields such as 3D modeling, robot navigation, and autonomous driving. In street view MV…
View article: A Refined Photometric Constraint for Exoplanet Direct Imaging Yield Estimation and Observation Scheduling
A Refined Photometric Constraint for Exoplanet Direct Imaging Yield Estimation and Observation Scheduling Open
Science yield studies will drive the development of future direct imaging telescopes, such as the Habitable Worlds Observatory. These studies rely on a metric called completeness, which represents the fraction of planets from an assumed pl…
View article: Pygmalion Effect in Vision: Image-to-Clay Translation for Reflective Geometry Reconstruction
Pygmalion Effect in Vision: Image-to-Clay Translation for Reflective Geometry Reconstruction Open
Understanding reflection remains a long-standing challenge in 3D reconstruction due to the entanglement of appearance and geometry under view-dependent reflections. In this work, we present the Pygmalion Effect in Vision, a novel framework…
View article: Exploring Essential Occurrence
Exploring Essential Occurrence Open
An expression occurs essentially in a formula (or sentence) when it occurs in every formula equivalent to the given formula, taking equivalence as logical equivalence relative to the logic in play in the discussion. Setting aside various n…
View article: Pygmalion Effect in Vision: Image-to-Clay Translation for Reflective Geometry Reconstruction
Pygmalion Effect in Vision: Image-to-Clay Translation for Reflective Geometry Reconstruction Open
Understanding reflection remains a long-standing challenge in 3D reconstruction due to the entanglement of appearance and geometry under view-dependent reflections. In this work, we present the Pygmalion Effect in Vision, a novel framework…
View article: Fundamental Universal Kernel – Core of Emergent Physics
Fundamental Universal Kernel – Core of Emergent Physics Open
This document presents the Fundamental Universal Kernel (FUK), the central functional object of the Omega Framework. The kernel \mathbb{K}(x,x';\tau,\tau') encodes all fundamental correlations from which emergent physics arises, including …
View article: Unconditional Analytical Closure of the UFT-F Modularity Constant $C_{\text{UFT-F}}$: Derivation of the Base-24 Correction $1+\frac{1}{240}$ and Proof of Exponential Decoherence Suppression
Unconditional Analytical Closure of the UFT-F Modularity Constant $C_{\text{UFT-F}}$: Derivation of the Base-24 Correction $1+\frac{1}{240}$ and Proof of Exponential Decoherence Suppression Open
This foundational paper achieves the unconditional analytical closure of the core Modularity Constant $C_{\text{UFT-F}}$ ($\approx 0.003119$) within the Unified Field Theory-F (UFT-F) formal system. This constant is the necessary and suffi…
View article: The Machine Translation of Landau's Analysis of Foundations in Rocq
The Machine Translation of Landau's Analysis of Foundations in Rocq Open
Formal verification has achieved remarkable outcomes in both theory advancement and engineering practice, with the formalization of mathematical theories serving as its foundational cornerstone—making this process particularly critical. Ax…
View article: Coherence Algebra and Its Empirical Signature in Astrophysical Transients
Coherence Algebra and Its Empirical Signature in Astrophysical Transients Open
This record publishes together two complementary works: 1. The Coherence Algebra of 0–1 as the Foundation of Physical Reality Beyond Space and TimeDevelops a mathematical framework in which space, time, mass and geometry are not fundamenta…
View article: Pre-Whitepaper : CPT-Symmetric Spacetime Simulation and Relativistic Time Synchronization
Pre-Whitepaper : CPT-Symmetric Spacetime Simulation and Relativistic Time Synchronization Open
This document serves as a pre-technical interpretive whitepaper for two patented technologies: (1) a device for ordered-data-based time synchronization (KR Registered Patent No. 10-2878185), and(2) a CPT-symmetric spacetime simulation devi…
View article: Improving social determinants of health documentation in French electronic health records using large language models
Improving social determinants of health documentation in French electronic health records using large language models Open
Social determinants of health (SDoH) significantly influence health outcomes, shaping disease progression, treatment adherence, and health disparities. However, their documentation in structured electronic health records (EHRs) is often in…
View article: Coherent Section Solver
Coherent Section Solver Open
Most existing discussions of GoR and related Manifold Logic (MLog) ideas remain at a high level, or are instantiated only in large models that require extensive training and substantial computational resources. There is a clear need for mi…
View article: E = C × I × K ≠ 0: The Universal Meta-Law That Makes All Other Laws Possible
E = C × I × K ≠ 0: The Universal Meta-Law That Makes All Other Laws Possible Open
Panpsychism faces three fundamental challenges that prevent its acceptance as a scientific framework: it lacks formal structure, offers no solution to the combination problem, and provides no bridge from ontology to ethics. This paper pres…
View article: Title: Theorem of Transcendence Closure and Formalization of Cognition as Intrinsic Bias: Treatise on Objective Factual Logic, Ontological Analysis of the Thermodynamic Continuum, and Resolution of the Representation Problem
Title: Theorem of Transcendence Closure and Formalization of Cognition as Intrinsic Bias: Treatise on Objective Factual Logic, Ontological Analysis of the Thermodynamic Continuum, and Resolution of the Representation Problem Open
This treatise formalizes an integral logical-empirical framework aimed at establishing the operative impossibility of transcendent entities and redefining the ontological status of consciousness, logic, and mathematics. Through a radical p…
View article: Pre-Whitepaper : CPT-Symmetric Spacetime Simulation and Relativistic Time Synchronization
Pre-Whitepaper : CPT-Symmetric Spacetime Simulation and Relativistic Time Synchronization Open
This document serves as a pre-technical interpretive whitepaper for two patented technologies: (1) a device for ordered-data-based time synchronization (KR Registered Patent No. 10-2878185), and(2) a CPT-symmetric spacetime simulation devi…
View article: CTQRS-Based Reinforcement Learning Framework for Reliable Bug Report Generation Using Open-Source Large Language Models
CTQRS-Based Reinforcement Learning Framework for Reliable Bug Report Generation Using Open-Source Large Language Models Open
The advancement of Large Language Models (LLMs) has opened new possibilities for automating bug report generation in software engineering. However, a fundamental limitation remains: the generated reports often fail to maintain both consist…
View article: Categorical Semantics and the Effective Completeness of Dependent First-Order Logic
Categorical Semantics and the Effective Completeness of Dependent First-Order Logic Open
This paper explores the intricate relationship between categorical semantics and the effective completeness of dependent first-order logic. We establish a robust categorical framework, primarily leveraging the theory of fibrations and cate…
View article: Verifying Numerical Methods with Isabelle/HOL
Verifying Numerical Methods with Isabelle/HOL Open
Modern machine learning pipelines are built on numerical algorithms. Reliable numerical methods are thus a prerequisite for trustworthy machine learning and cyber-physical systems. Therefore, we contribute a framework for verified numerica…
View article: Structured panendoscopy reports improve report completeness and documentation time
Structured panendoscopy reports improve report completeness and documentation time Open
Even today, surgical reports are usually dictated in a free text form (FTR), leading to a wide range in report-quality. This study investigated the use of a fully structured panendoscopy report (SR) compared to FTRs. 64 panendoscopies were…
View article: LAW E CORPUS — PAPER 2/7: THE EURYTHMIC MULTIMODAL FILTER
LAW E CORPUS — PAPER 2/7: THE EURYTHMIC MULTIMODAL FILTER Open
Description (FR)Ce document constitue le deuxième article du Corpus Loi E, un ensemble de sept organes destinés à former un organisme computationnel autonome fondé sur la cohérence, la thermodynamique de l’information et l’économie énergét…
View article: Null--Modular Double Cover and Overlapping Causal Diamond Chains: Total-Order Approximation Bridge for Quadratic Form Localization, Inclusion--Exclusion--Markov Splicing, and Parity Threshold for Distributional Scattering Calibration
Null--Modular Double Cover and Overlapping Causal Diamond Chains: Total-Order Approximation Bridge for Quadratic Form Localization, Inclusion--Exclusion--Markov Splicing, and Parity Threshold for Distributional Scattering Calibration Open
We propose Null--Modular double cover carried by zero-measure boundaries of causal diamonds, decomposing modular Hamiltonians into local energy flux integrals on two null sheets in vacuum quadratic form sense. Through a total-order approxi…
View article: The Forcing-Axiomatic Landscape of the Continuum Hypothesis
The Forcing-Axiomatic Landscape of the Continuum Hypothesis Open
The Continuum Hypothesis (CH), formulated by Georg Cantor in the late 19th century and later identified as Hilbert's First Problem, posits that there is no set whose cardinality is strictly between that of the natural numbers ($aleph_0$) a…
View article: Feldtheorie V5: A Fractal Governance System for Structural Isomorphism Research ->The Regime Integration Gradient (v_RIG): A Fundamental Velocity Scale for Consciousness as 2D→3D Information Transfer
Feldtheorie V5: A Fractal Governance System for Structural Isomorphism Research ->The Regime Integration Gradient (v_RIG): A Fundamental Velocity Scale for Consciousness as 2D→3D Information Transfer Open
This short preprint presents a supplementary theoretical exploration accompanying the Feldtheorie V6 publication. It outlines a side‑theory connecting entropy governance duality with discrete spacetime concepts (“Tesseract‑Zeitscheiben‑Phy…
View article: The Forcing Fine Structure of the Generalized Continuum Hypothesis
The Forcing Fine Structure of the Generalized Continuum Hypothesis Open
The Generalized Continuum Hypothesis (GCH) posits a fundamental relationship between infinite cardinalities: for every infinite cardinal $kappa$, the cardinality of the power set of $kappa$, denoted $2^kappa$, is equal to the next cardinal…