[01] Fred Y. Ye, School of Information Management, Nanjing University, Nanjing, China.

A physical linked-measure is mathematically consisted of a complex scalar, a complex vector and a bivector and is geometrically equivalent to a vortex. When the complex scalar means mass, the complex vector implies directed momentum and the bivector rotated angular momentum, with using the least action principle to the linked-measure, yielding energy-mass-momentum-angular momentum joint conservation. Hamilton equations and Lagrange equation keep as the core of physics, leading fluid dynamics of energy way. As any periodic function can be expressed as a Fourier series, energy spectrum is suggested to be an analytical method. Combining the vortex dynamics with relativity and thermodynamics, Bekenstein–Hawking entropy and “no-hair theorem” of black hole are naturally derived. Applying to wingtip vortices, with adding wavelets, simplified ideal turbulence is described.

Linked-Measure, Multi-Vector, Vortex, Turbulence, Wavelet, Joint Conservation, Energy Spectrum

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