On Einstein’s super symmetric tensor and the number of elementary particles of the standard model

We present an invariant characterization of a curved super symmetric spacetime in terms of scalers constructed from the Riemannian and metric tensors of general relativity. The corresponding number of independent components found that way leads to results consistent with the number of massless states of the Heterotic string theory, namely 8064 as well as the phenomenology at the energy scale of the standard model, i.e. 60 experimentally verified particles plus two conjectured particles.     

An elementary proof for the nine missing particles of the standard model

Several authors have recently argued that a “complete” standard model should include nine more elementary particles besides the 60 already believed to be experimentally confirmed. The present short note gives an elementary and convincing proof for the correctness of this conjecture.     

From experimental quantum optics to quantum gravity via a fuzzy Kähler manifold

Starting from the two-slit experiment we show that the so-called particle–wave duality could be resolved amicably by assuming space–time to be a fuzzy K₃ manifold akin to that of E-Infinity theory. Subsequently, we show how many of the fundamental constants of nature such as the electromagnetic fine structure as well as the quantum gravity coupling may be deduced from the topology and geometry of the space–time manifold.     

On dimensions of Cantor set related systems

Three theorems are presented connecting stability and average, gravity centre, Hausdorff dimension of backbone Cantor sets at a critical state related to global diffusion. Both finite and infinite dimensional spaces are considered.     

Superstrings, Knots, and Noncommutative Geometry in E^{{\text{(}}\infty {\text{)}}} Space

Within a general theory, a probabilisticjustification for a compactification which reduces aninfinite-dimensional spacetime to afour-dimensional one (D_T = n = 4) isproposed. The effective Hausdorff dimension of this spaceis is given by is a PV number and = (5– 1)/2 is the golden mean. The derivation makes use of various results from knot theory,four-manifolds, noncommutative geometry, quasiperiodictiling, and Fredholm operators. In addition somerelevant analogies between , statistical mechanics, and Jones polynomials are drawn.This allows a better insight into the nature of theproposed compactification, the associated space, and thePisot–Vijayvaraghavan number 1/³= 4.236067977 representing its dimension. This dimensionis in turn shown to be capable of a naturalinterpretation in terms of the Jones knot invariant andthe signature of four-manifolds. This brings the work near to the context of Witten andDonaldson topological quantum field theory.     

Non-perturbative super symmetric quantum gravity coupling

We start by reviewing the standard one loop renormalization equation for determining the grand unification coupling constant and proceed from there to show how the analysis can be modified to yield the exact inverse coupling constant not only for the super symmetric quantum gravity but also for Newton’s dimensionless gravity coupling.     

Quarks confinement via Kaluza–Klein theory as a topological property of quantum classical spacetime phase transition

By introducing a curled fifth dimension, Kaluza–Klein theory predicted for the first time a connection between gravity and electromagnetism. An exacting look at this result shows that for a radius R of the fifth dimension equal to the Planck length, the coupling is exactly unity. The result is utilized to show that by introducing correction terms to the one loop renormalization equation of unification it can be made exact and subsequently quark confinement can be proven non-perturbatively as a property of the topology of quantum spacetime at the classical-quantum interface and the Planck phase transition.     

Reasons why the current CERN experiment should discover at least one new spin zero elementary particle and probably several others

Within a general theory, various scenarios are discussed to answer the burning question of if and how many new elementary particles will the new CERN super hadron collider discover. The answer with a very high probability is that at least one spin zero particle will be discovered. In addition there is a reasonable possibility that up to five Higgs particles will be found.     

One and two-stein space hierarchies in high energy physics

Similar to the exceptional Lie group hierarchy leading to a tantalizing connection between the total dimension and the inverse fine structure constant of electromagnetic as well as quantum gravity inverse coupling, the present note shows an equally unexpected direct relation between the total dimension of a one and two-stein spaces and high energy physics.     

Quantum golden field theory – Ten theorems and various conjectures

Ten theorems and few conjectures related to quantum field theory as applied to high energy physics are presented. The work connects classical quantum field theory with the golden mean renormalization groups of non-linear dynamics and E-Infinity theory.