http://arxiv.org/PS_cache/arxiv/pdf/0812/0812.3857v1.pdf(adsbygoogle = window.adsbygoogle || []).push({});

Quote.

In the first part of this contribution, we review the development of the theory of

scale relativity and its geometric framework constructed in terms of a fractal and

nondifferentiable continuous space-time. This theory leads (i) to a generalization

of possible physically relevant fractal laws, written as partial differential equation

acting in the space of scales, and (ii) to a new geometric foundation of quantum

mechanics and gauge field theories and their possible generalisations.

In the second part, we discuss some examples of application of the theory to

various sciences, in particular in cases when the theoretical predictions have been

validated by new or updated observational and experimental data. This includes

predictions in physics and cosmology (value of the QCD coupling and of the cosmological

constant), to astrophysics and gravitational structure formation (distances of

extrasolar planets to their stars, of Kuiper belt objects, value of solar and solar-like

star cycles), to sciences of life (log-periodic law for species punctuated evolution,

human development and society evolution), to Earth sciences (log-periodic deceleration

of the rate of California earthquakes and of Sichuan earthquake replicas, critical

law for the arctic sea ice extent) and tentative applications to system biology.

An accidental find i thought may be of interest.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Fractal space time

**Physics Forums | Science Articles, Homework Help, Discussion**