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2017 | Book

The Linked-Measure and Linked-Field for Linking Micro-Particles to Macro-Cosmos with Dispelling Dark Matter and Dark Energy Read chapter Read first chapter

Scientific Metrics: Towards Analytical and Quantitative Sciences

Author: Prof. Fred Y. Ye

Publisher: Springer Singapore

Book Series : Understanding Complex Systems

Part of: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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About this book

This book presents scientific metrics and its applications for approaching scientific findings in the field of Physics, Economics and Scientometrics. Based on a collection of the author’s publications in these fields, the book reveals the profound links between the measures and the findings in the natural laws, from micro-particles to macro-cosmos, in the economic rules of human society, and in the core knowledge among mass information. With this book the readers can gain insights or ideas on addressing the questions of how to measure the physical world, economics process and human knowledge, from the perspective of scientific metrics. The book is also useful to scientists, particularly to specialists in physics, economics and scientometrics, for promoting and stimulating their creative ideas based on scientific metrics.

Table of Contents

Frontmatter

Physics: Linked-Metrics Generates Vortex-World Physics

Frontmatter
Chapter 1. The Linked-Measure and Linked-Field for Linking Micro-Particles to Macro-Cosmos with Dispelling Dark Matter and Dark Energy
Abstract
A mathematical multi-vector consists of a complex scalar, a complex vector and a bi-vector, which constructs a physical linked-measure, yielding a linked-field. When the linked-measure is applied as the world measure, its strong symmetric links generate electromagnetic field and its strong micro-inner links do strong field, while its weak micro-inner symmetric links synthesize electro-weak field. With adding outer space-time metric, the linked-field leads to gravitational field with a new understanding of dark matter and dark energy.
Fred Y. Ye
Chapter 2. The Physical Linked-Measure Works as Vortex with Linking to Turbulence
Abstract
A physical linked-measure is mathematically consisted of a complex scalar, a complex vector and a bi-vector and is geometrically equivalent to a vortex. When the complex scalar means mass, the complex vector implies directed momentum and the bi-vector rotates angular momentum, with using the least action principle to the linked-measure, yielding energy-mass-momentum-angular momentum joint conservation.
Fred Y. Ye
Chapter 3. The Clifford-Finslerian Linked-Field Leads Branching Multiverse
Abstract
Focusing on the issue of multiple universes (multiverse), the physical linked-measure contributes the Clifford-Finslerian linked-field, which generates branching multiverse. While Clifford algebra supplies interior dynamics for generating inner branching structure, Finsler geometry provides catastrophic branches of space-time metric and curvature, as exterior dynamics do. The branching multiverse is different from countless multiverse, as the branches are deterministic and based on mainstream, where all branches integrate and produce limited multiverse.
Fred Y. Ye
Chapter 4. A Clifford-Finslerian Physical Unification and Fractal Dynamics
Abstract
A Clifford–Finslerian physical unification is proposed based on Clifford-Finslerian mathematical structures and three physical principles.
Fred Y. Ye
Chapter 5. A Vortex Mechanism Linking Micro-Particle to Macro-Galaxy Without Supersymmetry
Abstract
A vortex is mathematically equivalent to a multi-vector and physically equivalent to a linked-measure.
Fred Y. Ye
Chapter 6. The Physical Foundation of Information and the Unification of Physics
Abstract
It is introduced that order coordinate is the physical foundation of information and suggested that the order-space-time becomes a new unified framework of physics.
Fred Y. Ye

Economics: Complex Metrics Leads to Complex Economics

Frontmatter
Chapter 7. A Probe into the Unification of Micro-Macro-Economics: Arrow-Debreu-Mundell-Fleming Model as a Standard Model
Abstract
For unifying micro-economics and macro-economics, It is proposed that demand-supply relation, marginal effect and multiplier model construct three keys.
Fred Y. Ye
Chapter 8. The Commodity-Money Analytical Framework: A Unified Approach to Micro-Macro-Economics and Complex Economics
Abstract
The commodity function X and the money function Y are introduced to construct a unified micro-macro-economic analytical framework.
Fred Y. Ye
Chapter 9. Economic Complex Analysis for Approaching Economic Equilibrium and Economic Stability
Abstract
Under the framework of complex economics, it is found that the Cauchy-Riemann equation and the Laplace equation construct the core of economic complex analysis, which describes economic equilibrium and economic stability.
Fred Y. Ye
Chapter 10. Complex Economic Metrics Linking to Scaling Money Supply
Abstract
It is concluded that there is a simple solution for scaling money supply, with using complex economic metrics.
Fred Y. Ye
Chapter 11. A Synthetic Macro-Economic Model Integrating Interest, Exchange and Tax Rates
Abstract
In economics, interest rate, exchange rate and tax rate are three key ratios for economic analysis. However, they have no unified relations in existing economic models.
Fred Y. Ye
Chapter 12. A Cubic Integrated Economic Model for Macro-Economic Analysis
Abstract
A novel cubic integrated economic model is developed by extending synthetic economic model, with arranging total economic quantities at horizontal coordinate and relative economic rates at other coordinates.
Fred Y. Ye

Scientometrics: Knowledge Metrics and h-type Metrics

Frontmatter
Chapter 13. Measuring Knowledge: A Quantitative Approach to Knowledge Theory
Abstract
By transferring the DIKW hierarchy to the concept of chain, namely data-information-knowledge-wisdom, the knowledge measure is set up as the logarithm of information, while the information is the logarithm of data, so that knowledge metrics are naturally introduced and the mechanism of Brookes’ basic equation of information science is revealed.
Fred Y. Ye
Chapter 14. A Theoretical Unification of Informetric Models by Wave-Heat Equations
Abstract
A simple distribution function \(f(x,t) = c(x + d)^{ - \alpha }{e}^{\lambda t}\) obeys wave and heat equations, which just constructs a theoretical approach to the unification of informetric models, with which we can unify all informetric laws.
Fred Y. Ye
Chapter 15. The Empirical Investigation and Theoretical Unification of Mathematical Models for the h-Index
Abstract
Among existing theoretical models for the h-index, Hirsch’s original formula, the Egghe-Rousseau model and the Glänzel-Schubert model are the three main representatives.
Fred Y. Ye
Chapter 16. The h-Type Core Structure in Single-Layer and Multi-layer Weighted Information Networks
Abstract
Applying h-type indicators into weighted networks, a series of h-type measures, including h-degree and h-strength, are introduced, for characterizing core structure in weighted networks.
Fred Y. Ye
Chapter 17. The h-Core and h-Tail Distribution with Dynamic Metrics
Abstract
In the ranked publication and citation distribution, h-core and h-tail are naturally generated via h-index, on which related dynamic core-tail measures are introduced, including shape descriptors and shape centroids, k-index and \(k'\)-index.
Fred Y. Ye
Chapter 18. A Quantitative Relationship Between Per Capita GDP and Scientometric Criteria
Abstract
It is discovered that there exists a quantitative relationship, which can be expressed as \(G=kF(lgP)N\), where G is per capita GDP, F gross expenditure on R & D as percentage of GDP, P patent applications, N Internet users per 10,000 inhabitants, and k a constant ranging from 0.4 to 1.2 in most countries.
Fred Y. Ye
Backmatter
Metadata
Title
Scientific Metrics: Towards Analytical and Quantitative Sciences
Author
Prof. Fred Y. Ye
Copyright Year
2017
Publisher
Springer Singapore
Electronic ISBN
978-981-10-5936-0
Print ISBN
978-981-10-5935-3
DOI
https://doi.org/10.1007/978-981-10-5936-0