By L Nottale
ISBN-10: 9810208782
ISBN-13: 9789810208783
This is often the 1st special account of a brand new method of microphysics in accordance with top rules: that the specific dependence of actual legislation on scale encountered in quantum physics, is the manifestation of a primary precept of nature, specifically, scale relativity (this generalizes Einstein's precept of (motion) relativity to scale transformations); and that the mathematical success of this precept wishes the advent of a nondifferentiable space-time various with answer, i.e. characterised through its fractal houses. the writer discusses intimately reactualization of the main of relativity and its software to scale differences, actual legislation that are explicitly scale based, and fractals as a brand new geometric description of space-time.
Read Online or Download Fractal Space-Time and Microphysics: Towards a Theory of Scale Relativity PDF
Similar relativity books
Special Relativity and Motions Faster Than Light
Whereas the speculation of distinctive relativity is frequently linked to the assumption of touring quicker than mild, this booklet indicates that during a majority of these instances sophisticated forces of nature conspire to avoid those motions being harnessed to ship signs speedier than the rate of sunshine. the writer tackles those themes either conceptually, with minimum or no arithmetic, and quantitatively, applying quite a few illustrations to explain the dialogue.
Energy and Geometry: An Introduction to: Geometrical Description of Interactions
This e-book discusses intimately the mathematical facets and actual functions of a brand new geometrical constitution of space-time. it's according to a generalization ("deformation") of the standard Minkowski house, supposedly endowed with a metric whose coefficients rely on the strength. strength and Geometry: Geometrical Description of Interactions is appropriate for researchers, teachers and scholars in mathematical and theoretical physics.
Introducing Einstein's Relativity
There's little question that Einstein's conception of relativity captures the mind's eye. it really is unrivalled in forming the foundation of ways we view the universe and the various surprises that the idea has in shop -- the features of black holes, the chance of detecting gravitational waves, and the sheer scope and profundity of present cosmology excite all scholars of relativity.
Mathematics and Democracy: Designing Better Voting and Fair-Division Procedures
Electorate this day usually desolate tract a popular candidate for a extra manageable moment option to save some their vote. Likewise, events to a dispute usually locate themselves not able to agree on a good department of contested items. In arithmetic and Democracy, Steven Brams, a number one authority within the use of arithmetic to layout decision-making tactics, exhibits how social-choice and video game concept can make political and social associations extra democratic.
- Tensors and manifolds, applications to mechanics and relativity
- Exact Space-Times in Einstein’s General Relativity
- An Introduction to General Relativity and Cosmology
- Why Does E=mc²? (And Why Should We Care?)
- Time, The Physical Magnitude
Additional resources for Fractal Space-Time and Microphysics: Towards a Theory of Scale Relativity
Sample text
125. 11. , 1949, Phys. Rev. 76, 769. 12. , 1948, Phys. Rev. 74, 1439. 13. , 1946, Prog. Theor. Phys. 1, 27. 14. , 1984, Sci. Am. 251, 94. 2 RELATIVITY AND QUANTUM PHYSICS 31 15. , 'Subtle is the Lord', the Science and Life of Albert Einstein (Oxford University Press, 1982). 16. , 1963, J. Atmos. Sci. 20, 130. 17. , 1971, Commun. Math. Phys. 20, 167. 18. , 1985, Rev. Mod. Phys. 57, 617. 19. , 1976, Am. J. Phys. 44, 271. 20. , 1908, Address delivered at the 80th assembly of german natural scientists and physicians, Cologne, English translation in "The principle of relativity".
2. , 1905, C. R. Acad. Sci. Paris 140, 1504. 3. , 1916, Annalen der Physik 49, 769. English translation in "The principle of relativity", (Dover publications), p. Ill. 4. Schrodinger, E. von, 1925, Ann. Phys. 19, 361. 5. , 1925, Zeitschrift for Physics 33, 879. 6. , 1928, Proc. Roy. Soc. (London) A117, 610. 7. , in Elementary Particle Physics (Almqvist & Wiksell, Stockholm, 1968). 8. , 1967, Phys. Rev. Lett. 19, 1264. 9. , 1961, Nucl. Phys. 22, 579. 10. 125. 11. , 1949, Phys. Rev. 76, 769. 12. , 1948, Phys.
48 -50 In the renormalization group approach, one writes differential equations describing the infinitesimal variation of physical quantities (fields, couplings) under an infinitesimal variation of scale. The renormalization group will play a leading part in our approach. We shall indeed demonstrate that the renormalization group equations (i) can be interpreted as the simplest lowest order differential equations describing the measure on fractal geometry; (ii) are for scale laws the equivalent of Galileo's group for motion laws.