Elements of a New Set Theory Based Quantum Mechanics with Applications in High Energy Quantum Physics and Cosmology

  title={Elements of a New Set Theory Based Quantum Mechanics with Applications in High Energy Quantum Physics and Cosmology},
  author={Mohamed S. El Naschie},
We outline the quintessence of a fairly new quantum theory based on transfinite set theory representing a synthesis of the work of J. von Neumann’s pointless continuous geometry, A. Connes’ noncommutative quantum geometry, Menger-Urysohn dimensional theory, Sir R. Penrose’s fractal tiling universe, ‘tHooft’s renormalon as well as D. Shectman quasi crystals and Einstein-Kaluza-Klein spacetime theories. We conclude that the Aether is a real non-materialistic material and that is essentially what… 

Figures from this paper

The Quantum Entanglement Roots of Newton’s Gravitational Inverse Square Law Via E-Infinity Platonic Transfinite Set Theory

  • M. Naschie
  • Physics
    Global Journal of Science Frontier Research
  • 2020
Using the E-infinity Cantorian spacetime formalism, i.e. transfinite platonic set theory, we show that Newton’s gravitational inverse square law strictly implies quantum entanglement and visa versa

Topological vacuum fluctuation and Dvoretzky‘s theorem – Mathematical proofs in the context of the dark energy density of the universe

Starting from the initial triality of physics, namely mathematical philosophy, transfinite set theory and number theory we drive the inevitability of a topological quantum vacuum fluctuation of

Speculation in Science and Technology: Is the Quantum Wave Nothing More than a Prandtl Boundary Layer?

This short communication argues for the possibility of a complete analogy between the propagation of a quantum particle-wave in quantum spacetime and the motion of a bluff body in a perfect fluid.

From fractal - Cantorian classical music to the symphony of the standard model of high energy particles physics

We report in this short letter on what we think is a major finding which could remove forever the schism that exists between Science and Art in an unprecedented way. In particular we believe that we

Resolution of Hardy’s Paradox within Spacetime Physics and the Ithaca Interpretation of Quantum Mechanics

By religiously adhering to physics in spacetime and taking the final verdict of N.D. Mermin’s Ithaca interpretation of quantum mechanics seriously, Hardy’s paradox is completely resolved. It is then

Super Quantization of a Cantorian Electromagnetic Field and the Cosmic Dark Energy Density of the Universe

E-infinity Cantorian spacetime theory is a naturally golden mean quantized theory within which the difference between field and spacetime is fairly blurred. In particular the theory reconciles the

‘ tHooft ’ s Renormalon : Experimental and Number Theoretical Arguments for Physical Existence

‘tHooft’s renormalon, similar to instanton, is regarded by G. ‘tHooft as a genuine singularity in the corresponding mathematical theory. However unlike instanton there is no mathematical proof for

The hydrodynamics of quantum spacetime – The minimal essentials of a new quantum theory

The connection between fractal Cantorian spacetime and hydrodynamics [1-20] is a profound subject [16-17] which was initiated sometime ago [21-27] in numerous but relatively unsung papers by

Time Dimension and Ordinary Cosmic Energy Density Are Fractal Effects

In a short, neat and credible analysis, it is established that time is a fractal effect of the Cantor set-like topology of micro spacetime. This effect as well as the ordinary cosmic energy density

Platonic Golden Network Theory for High Energy Physics and Quantum Cosmology

  • M. Naschie
  • Physics
    Global Journal of Science Frontier Research
  • 2020
In the spirit of Pythagorean cosmic mathematical music of numbers and following the fundamental tenets of platonic transfinite set theory and the methodology of E-infinity Cantorian spacetime, we



The Emergence of Spacetime from the Quantum in Three Steps

The paper presents a very simple and straight forward yet pure mathematical derivation of the structure of actual spacetime from quantum set theory. This is achieved by utilizing elements of the

On a Non-Perturbative Quantum Relativity Theory Leading to a Casimir-Dark Energy Nanotech Reactor Proposal

In this paper we outline a non-perturbative quantum relativity theory. Subsequently an actual design of a nanotech energy reactor is based on spacetime vacuum fluctuation of the said quantum

On a Fractal Version of Witten’s M-Theory

Starting from Witten’s eleven dimensional M-theory, the present work develops in an analogous way a corresponding dimensional fractal version where . Subsequently, the new fractal formalism is

Chaotic Fractals at the Root of Relativistic Quantum Physics and Cosmology

At its most basic level physics starts with space-time topology and geometry. On the other hand topology’s and geometry’s simplest and most basic elements are random Cantor sets. It follows then that

A Resolution of Cosmic Dark Energy via a Quantum Entanglement Relativity Theory

A new quantum gravity formula accurately predicting the actually measured cosmic energy content of the universe is presented. Thus by fusing Hardy’s quantum entanglement and Einstein’s energy formula

The quantum gravity Immirzi parameter—A general physical and topological interpretation

The paper argues that the Immirzi crucial free parameter of the spin networks theory of quantum gravity represents a definite quantum entanglement correction. In turn, this entanglement may be

Quantum Entanglement as a Consequence of a Cantorian Micro Spacetime Geometry

The present work gives two fundamentally different derivations of Hardy’s beautiful result leading to precisely the same general conclusion, namely that by virtue of the zero measure of the underlying Cantorian-fractal spacetime geometry the notion of spatial separability in quantum physics is devoid of any meaning.

Three Quantum Particles Hardy Entanglement from the Topology of Cantorian-Fractal Spacetime and the Casimir Effect as Dark Energy – A Great Opportunity for Nanotechnology

The present work brings together three different fields which depend crucially upon nano hardware under the umbrella of E-infinity theoretical framework. We start by following E-infinity topological

From a Dual Einstein-Kaluza Spacetime to ‘tHooft Renormalon and the Reality of Accelerated Cosmic Expansion

We use a dual Einstein-Kaluza spacetime to calculate the exact energy density of dark energy and dark matter using a novel topological computation method. Starting from the said spacetime and

Quantum mechanics, diffusion and chaotic fractals

Quantum mechanics and chaotic fields quantum chaos, complex spectral representation and time-symmetry breaking, T. Petrosky and I. Prigogine scale relativity, fractal space-time and quantum