Scientific Metrics: Towards Analytical and Quantitative Sciences

<p>Introduction.- I Physics: linked-metrics generates vortex-world physics The Linked-measure and Linked-field for Linking Micro-particles to Macro-cosmos with Dispelling Dark Matter and Dark Energy.- The Physical Linked-measure Works as Vortex with Linking to Turbulence.- The Clifford-Finslerian Linked-field Leads Branching Multiverse.- A Clifford-Finslerian Physical Unification and Fractal Dynamics.- A Vortex Mechanism Linking Micro-particle to Macro-galaxy without Supersymmetry.- The Physical Foundations of Information and the Unified Framework of Physics.- II Economics: complex metrics leads to complex economics A Probe into the Unification of Micro-Macro-Economics: Arrow-Debreu-Mundell-Fleming Model as the Standard Model.- The Commodity-Money Analytical Framework: A Unified Approach to Micro-Macro-Economics and Complex Economics.- Economic Complex Analysis for Approaching Economic Equilibrium and Economic Stability.- Complex Economic Metrics with Scaling Money Supply.- A Synthetic Macro-economic Model Integrating Tax, Interest and Exchange Rates.- A Cubic Integrated Economic Model for Macroeconomic Analysis.- III Scientometrics: knowledge metrics and h-type metrics Measuring Knowledge: A Quantitative Approach to Knowledge Theory.- A Theoretical Unification of Informetric Models by Wave-heat Equations.- The Empirical Investigation and Theoretical Unification of Mathematical Models for the h-index.- The h-type Core Structure in Single-layer and Multilayer Weighted Information Networks.- The h-core and h-tail Distribution with Dynamic Metrics.- A Quantitative Relationship between Per Capita GDP and Scientometric Criteria. </p>