Is there a physical continuum?

التفاصيل البيبلوغرافية
العنوان: Is there a physical continuum?
المؤلفون: Csanad, Mate
سنة النشر: 2021
المجموعة: Physics (Other)
مصطلحات موضوعية: Physics - General Physics
الوصف: We are used to the fact that most if not all physical theories are based on the set of real numbers (or another associative division algebra). These all have a cardinality larger than that of the natural numbers, i.e. form a continuum. It is often asked, whether there really is a continuum in the physical world, or whether a future physical theory could work with just countable infinities. The latter could for example be compatible with a quantized space-time. In this paper we formulate a simple model of the brain and show that within the presented natural assumptions, the continuum has to exist for at least some physical quantities.
Comment: 5 pages, 1 figure; updated based on reviews in September 2021
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2109.03052
رقم الأكسشن: edsarx.2109.03052
قاعدة البيانات: arXiv