Complexity in Spacetime and Gravitation i. FromChaos to Superchaosfn2fn2This paper, as a token ofappreciation, is intended to celebrate the 57th birthday of Otto Rössler.

摘要: Abstract We intend to show in this paper that the two fundamental concepts of GrandUnification and Chaos Theory are essential constituent elements a theory everythingand appertain, fact, overall domain complexity space, time gravitation. Theauthors hope present may offer suggestions for necessary methodology theanalysis complex problems. Following short review main describingconventional complexity, we introduce as an example possible development standardparadigms, new type Rayleigh–Benard instability which maybe generated interior gravitating body be cause earthquakephenomena. define terminologies constructive destructiveresonances relation stability solar system. attempt find physicalargument support invariant character gravitational chaos. Within frame aRiemannian spacetime obtain also mathematical formulation El Naschies conjecture: gravity is caused by average deviation fractal from linear uniform time. Westudy some detail physics black holes because perfect laboratoriesfor all manifestations complexities simplicities. stress singularities well aschaos demonstrate character. Even Schwarzschild radius, was initiallyconsidered merely coordinate singularity, found retain or deepen its physicalsignificance diffeomorphisms. Symmetry principles particle continuousattempts unique (strings, p-branes, etc.) matter arereviewed their link with dimensionality chaos indicated.Particular attention paid spontaneous symmetry breaking Higgs mechanism thecontext cascade concepts: classical lattice gas, Ising model, order–disorder transition,inflationary scenario, universe lattice. This tends confirm universalityof structure universe. In final section first part wepropose novel multi-spherical cosmic model homogeneous andisotropic cosmologies. If at level background-arena spacetime, thenadditional chaotic arena represent on higher orscale. The suggestion offered called superchaos interlaces withchaotic effects different lower levels. other prospective parts will refer tothe subjects: Part 2. Chaoticity Anisotropic Cosmologies. 3. Elementary Particles, DarkMatter Information Aspects Relativity.