Electrospun nanofibers have a wide range of potential applications such as photonic structures, microfluid channels (nanofluidics), catalysis, sensors, medicine, pharmacy, drug delivery, invisibility devices (e.g. stealth planes, stealth clothes), radioprotection, tissue engineering, and nanometer-sized semiconductor devices. A hierarchy of motion in electrospinning process is identified, and the E-infinity theory is applied to explain the phenomenon. These materials with hierarchical geometrical structures always display quantum-like properties and have many fascinating nano-effects, such as a remarkable increase in strength, high surface energy and surface reactivity, excellent thermal and electric conductivity. Here we also show that nanotechnology could be seen as a link between the deterministic classic mechanics and the indeterministic quantum mechanics, and E-infinity theory could help in understanding various nano effects. We also predict that the Hausdorff dimension for the hierarchy of motion should be close to the average Hausdorff dimension of E-infinity spacetime, and the characteristics of electrospun nanofibers depend mainly upon the Hausdorff-fractal dimension. An experiment is performed to verify our predictions.
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