✦ LIBER ✦
The golden mean, scale free extension of real number system, fuzzy sets and 1/f spectrum in physics and biology
✍ Scribed by Dhurjati Prasad Datta
- Book ID
- 104363237
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 123 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0960-0779
No coin nor oath required. For personal study only.
✦ Synopsis
We show that the generic 1=f spectrum problem acquires a natural explanation in a class of scale free solutions to the ordinary differential equations. We prove the existence and uniqueness of this class of solutions and show how this leads to a nonstandard, fuzzy extension of the ordinary framework of calculus, and hence, that of the classical dynamics and quantum mechanics. The exceptional role of the golden mean irrational number is also explained.