کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1895821 | 1533764 | 2013 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Emergence of geometry in a combinatorial universe
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Emergence of geometry in a combinatorial universe Emergence of geometry in a combinatorial universe](/preview/png/1895821.png)
چکیده انگلیسی
Our objective is to construct an elementary universe populated entirely by graphs from which geometry and dynamics emerge. The universe is based on a binary relation between objects: are they connected by an edge or not? It is only this relation that matters; the nature of the objects being irrelevant. Our perspective is that, out of the graphs so formed, further implicit structure is present, defined by a geometric spectrum and corresponding fields. This implicit structure comes into play when graphs correlate. Thus we propose ways in which graphs can interact and so dynamics, that is change, appears. With a suitable definition of time, this change can be ordered to give a universe endowed with local geometry and time.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 74, December 2013, Pages 185–195
Journal: Journal of Geometry and Physics - Volume 74, December 2013, Pages 185–195
نویسندگان
Paul Baird,