Download Scale Relativity And Fractal Space-Time: A New Approach to by Laurent Nottale PDF

By Laurent Nottale

ISBN-10: 1848166508

ISBN-13: 9781848166509

This e-book offers a complete survey of the advance of the speculation of scale relativity and fractal space-time. It indicates an unique option to the disunified nature of the classical-quantum transition in actual platforms, permitting the foundation of quantum mechanics at the precept of relativity, supplied this precept is prolonged to scale modifications of the reference method. within the framework of this type of newly generalized relativity concept (including place, orientation, movement and now scale transformations), the basic legislation of physics can be given a basic shape that unifies and therefore is going past the classical and quantum regimes taken individually. A similar difficulty of this ebook is the geometry of space-time, that's defined as being fractal and nondifferentiable. It collects and organizes theoretical advancements and purposes in lots of fields, together with physics, arithmetic, astrophysics, cosmology and lifestyles sciences.

Show description

Read or Download Scale Relativity And Fractal Space-Time: A New Approach to Unifying Relativity and Quantum Mechanics PDF

Best relativity books

Special Relativity and Motions Faster Than Light

Whereas the speculation of detailed relativity is usually linked to the belief of touring quicker than gentle, this ebook indicates that during these kinds of circumstances refined forces of nature conspire to avoid those motions being harnessed to ship indications speedier than the rate of sunshine. the writer tackles those themes either conceptually, with minimum or no arithmetic, and quantitatively, using a number of illustrations to explain the dialogue.

Energy and Geometry: An Introduction to: Geometrical Description of Interactions

This ebook discusses intimately the mathematical facets and actual purposes of a brand new geometrical constitution of space-time. it truly is in response to a generalization ("deformation") of the standard Minkowski area, supposedly endowed with a metric whose coefficients depend upon the strength. power and Geometry: Geometrical Description of Interactions is acceptable for researchers, teachers and scholars in mathematical and theoretical physics.

Introducing Einstein's Relativity

There's no doubt that Einstein's conception of relativity captures the mind's eye. it truly is unrivalled in forming the foundation of how we view the universe and the numerous surprises that the idea has in shop -- the features of black holes, the possibility 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

Citizens at the present time usually barren region a well-liked candidate for a extra doable 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 strategies, exhibits how social-choice and video game conception can make political and social associations extra democratic.

Extra resources for Scale Relativity And Fractal Space-Time: A New Approach to Unifying Relativity and Quantum Mechanics

Example text

Galilean relativity The first level of motion relativity theories is Galileo’s relativity of inertial motion. Galileo has set as a principle that “for all things that participate to it, motion remains perfectly imperceptible and as if it were not” [190]. This means that motion is not a property of individual bodies, but a relative property between two bodies. It cannot be defined in the absence of a reference system, and it therefore disappears in the proper reference system (which participates in it).

In this theory, the principle of relativity is applied not only to inertial motion, but also 26 Scale Relativity and Fractal Space-Time to accelerated motion. This has been made possible by Einstein’s discovery of the principle of equivalence, according to which a gravitational field is locally equivalent to an acceleration field. Accelerated motion, which seemed to be definable in an absolute way under Newton’s view (through the appearance of inertial forces), revealed to be once again only relative to the choice of the reference system.

The strength of this hypothesis has been to allow physicists to write the equations of physics in terms of differential equations. However, there exists neither a prime 40 Scale Relativity and Fractal Space-Time principle nor any definite experiment that would impose the fundamental laws of physics to be differentiable. On the contrary, it has been shown by Feynman that typical quantum mechanical paths are nondifferentiable [176]. The basic idea that underlines the theory of scale relativity is, therefore, to give up the hypothesis of differentiability of space-time, while nevertheless keeping the mathematical tool of partial differential equations.

Download PDF sample

Rated 4.61 of 5 – based on 37 votes