Unified 4-Dimensional Hyperspace Equilibrium beyond Einstein 4-Dimensional, Kaluza-Klein 5-Dimensional and Superstring 10- and 11 Dimensional Curved Hyperspaces
Authors: Vegt Wim 
Published: February 2019

Albert Einstein, Hendrik Lorentz and Hermann Minkowski published in 1905 the “Theory of Special Relativity” and Einstein published in 1915 his field theory of general relativity based on a curved 4-dimensional space-time continuum to integrate the gravitational field and the electromagnetic field in one unified field. Since then the method of Einstein’s unifying field theory has been developed by many others in more than 4 dimensions resulting finally in the well-known 10-dimensional and 11-dimensional “string theory”. String theory is an outgrowth of S-matrix theory, a research program begun by Werner Heisenberg in 1943 (following John Archibald Wheeler‘s(3) 1937 introduction of the S-matrix), picked up and advocated by many prominent theorists starting in the late 1950’s.Theodor Franz Eduard Kaluza (1885-1954), was a German mathematician and physicist well-known for the Kaluza–Klein theory involving field equations in curved five-dimensional space. His idea that fundamental forces can be unified by introducing additional dimensions re-emerged much later in the “String Theory”.In classical unified field theory, the electromagnetic and gravitational interactions are defined by the field equations e.g. Till now the continuing of the method of Einstein’s unifying field theory in a 4-dimensional curved space-time continuum in curved multi-dimensional hyperspaces has not resulted in a successful Grand Unified Field Theory which explains the discrete values for electric charge, magnetic spin and the mass of all known elementary particles. The fundamental question is: Is a hyperspace curved multi-dimensional approach like the the 11-dimensional Superstring theory the only way to combine fundamentally different fields into one Grand Unifying Theory. Or is there a different way?In this new theory a fundamentally different path has been chosen. In the basic theory of the “Lorentz-Einstein-Minkovski” transformations (1905) two fundamentally different fields, the electric field and the magnetic field have been integrated into one 4-dimensional theory expressed by the electromagnetic potential 4-vector . Instead of defining the electric field and the magnetic field separately in a curved 6- or 7-dimensional hyperspace, both fields are integrated by the common fundamental effect of the force density . The electric field and the magnetic field are fundamentally different but have “the same origin” and “the same effect” of a force density acting on an arbitrary electromagnetic field configuration (particle or field). Instead of focusing on the differences in the separate fields and putting the differences in the separate fields in separate dimensions, this theory focusses on that what is in common. The “Origin” and the “Effect”. There is only one Origin for all the different fields (gravitational field, electromagnetic field etc.). There is only one single common effect, the force density acting on a field configuration (elementary particle or field). This theory focusses on that what is in common. The resulting force densities which have to equal zero at any time at any place in any direction to realize a Universe in Harmony and Equilibrium integrating in this way the very different fields in a Unified 4-dimensional Space-Time continuum.In this new fundamentally different approach the different interactions (gravity, electromagnetic interaction etc.) has not been interpreted as a curvature of a hyperspace in a 5-, 10- or 11 dimensional space (string theory) . The new theory has been based on the single concept of “Fundamental Harmony within the Universe”. A Unified Field Theory which results in the confinements of electromagnetic radiation (light) within dimensions smaller than 10-85 [m], carrying discrete values (positive or negative) for electric charge in monopole, di-pole or multipole configurations, carrying discrete values (positive or negative) for magnetic string in monopole, di-pole or multipole configurations and carrying (electromagnetic) mass with the property of inertia according Newton’s second law of motion.The Unified Field Theory has been based on the fundamental question for the existence of light (electromagnetic radiation). What are the fundamental boundaries which are required for a stable electromagnetic field configuration in which light can exist? There is only one boundary condition. “The electromagnetic field has to be in a perfect equilibrium (balance) with itself and its surrounding.” And when an electromagnetic field interacts with a gravitational field, weak interaction or strong interaction exactly the same boundary condition is required. That is the single and only requirement.