pondělí 8. září 2008

E8 Lie group and Aether theory

Mr. Garett’s E8 group model can be understood on background of Aether particle theory easily. This is because Lie E8 group is not just some void geometrical structure. It’s root vector system is describing the tightest structure of kissing scale invariant hyperspheres ("unparticles"), where the kissing points of spheres are sitting at the centers of another hyperspheres, recursively. The Aether Wave Theory proposes at least two dual ways, how to interpret such structure:
The cosmological one is maybe easier to realize: it considers, the current Universe generation is formed by interior of giant dense collapsar, which is behaving like black hole from outer perspective. This collapse was followed by phase transition, which proceeded like crystallization from over-saturated solution by avalanche-like mechanism. During this, the approximately spherical zones of condensing false vacuum have intersect mutually, and from these places the another vacuum condensation has started (a sort of nucleation effect). We can observe the residuum of these zones as a dark matter streaks. The dodecahedron structure of these zones should corresponds the E8 group geometry, as being observed from inside (i.e. from past perspective due the Universe "expansion").
The second interpretation of E8 is relevant for Planck scale, i.e. for outer perspective (the future). The dense interior of black hole is forming the physical vacuum, which is filled by spongy system of density fluctuations, similar to nested foam. Such structure has even a behavior of soap foam, because it gets more dense after introducing of energy by the same way, like soap foam shaken inside of closed vessel. Such behavior leads to the quantum behavior of vacuum and particle-wave duality. Every energy wave, exchanged between pair of particles (i.e. density fluctuations of foam) is behaving like less or more dense blob of foam, i.e. like gauge boson particle. Every boson can exchange its energy with another particles, including other gauge bosons, thus forming the another generation of intercalated particles.

Therefore the E8 Lie group solves the trivial question: "Which structure should have the tightest lattice of particles, exchanged/formed by another particles?". And such question has perfect meaning even from classical physics point of view! Such question has a perfect meaning in theory, describing the most dense structure of inertial particles, which we can ever imagine, i.e. the interior of black hole. AWT inteprets a rotation of Lie group in general reference frame, which leads to another particle generation as a Penrose-Terrell effect, formalized in Wick rotation approach.

Correspondence of AWT and other theories

The Aether concept as a "zero dimensional particle theory" is quite fundamental TOE and it cannot be omitted from physics due the Occam's razor and Anderson's "More is different" principle. It serves as a conceptual Newtonian mechanics based glue between relativity theory and quantum mechanics both on cosmic energy/distance scale, both on Planck scale. But the Aether multi-particle concept goes even deeper - it can help us to redefine the whole observable reality on the background of probability calculus. It's not still the ultimate approach, as it cannot explain, which the Aether is composed from and why reality exists. But if we consider, the reality exists and its composed of infinitely many pieces/units, it enables us to predict the appearance of this reality on the background of scale invariant fluctuations of such system.

The Aether Wave Theory is closely related to Constructal theory, Process Physics, Unparticle Physics and Emergence Theory - it can serve as the conceptual base of all these theories. The concept of Aether foam covers the quantum foam or spin network of LQG theory, the protosimplex lattice of Heim theory or the recent string net liquid concept. And the non-linear properties of Aether foam can reconcile the dual aspects of general relativity and quantum mechanics and quantum field theories (the free fermion models of string field theories in particular). As a particle theory the AWT is closely related to Garett's E8 group theory, because the Lie E8 group describes the tightest structure of hypersphere particles, exchanged by another particles, recursively.

If all these theories are relevant each other - as the correspondence principle requires - here must exist some common connecting point/concept and we are forced to find it, because it's unacceptable to have so many theories, which are incompatible each other. Therefore the AWT isn't limited to realm of physics, as it describes the general connections/interactions inside of all multicomponent systems, including the biology and sociology and theories of information spreading.