کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1890438 | 1043818 | 2007 | 4 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Quantum decoherence and El Naschie's complex temporality
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موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک آماری و غیرخطی
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چکیده انگلیسی
It is well-known that the Schrödinger equation reduces to a classical diffusion equation by means of Wick rotation (t â it), suggesting a correspondence between quantum and classical mechanics. Nonetheless, this result does not admit a clear conceptual interpretation. In the framework of his fractal E(â) space-time theory, El Naschie showed that great conceptual advantage could be achieved by extending the imaginary time, it, to a perfectly symmetric, complex conjugate time 0 ± it. In this note we show through a simple analysis, involving formal analytic continuation (t â 0 ± it), that El Naschie's time complexification provides the basis for a physical interpretation of the correspondence between quantum and classical mechanics in terms of quantum decoherence. We find that decoherent states inevitably arise due to time symmetry breaking as we go from the micro Cantorian space-time, where the two symmetric times, 0 + it and 0 â it, coexist to our 4-dimensional smooth space-time, where t is the only time.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 32, Issue 5, June 2007, Pages 1611-1614
Journal: Chaos, Solitons & Fractals - Volume 32, Issue 5, June 2007, Pages 1611-1614
نویسندگان
Leonardo Di G. Sigalotti, Otto Rendón,