کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1862181 1530645 2007 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Minkowski's space–time is consistent with differential geometry of fractional order
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
The Minkowski's space–time is consistent with differential geometry of fractional order
چکیده انگلیسی

The recent discovery of fractional Taylor's series for nondifferentiable functions, f(x+h)=Eα(hαDxα)f(x), where Eα(⋅)Eα(⋅) denotes the Mittag-Leffler function, and Dxα is the so-called modified Riemann–Liouville fractional derivative, opens the possibility of a differential geometry of fractional order. It is shown that the Lorentz pseudo-metric is quite consistent with this fractional geometry, in other words that the fractional velocity of light does not affect the matter. The fractal effect is pictured by change of scale in space and time.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 363, Issues 1–2, 19 March 2007, Pages 5–11
نویسندگان
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