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The Mystery of Gravitation and the Elementary Graviton Loop Tony Bermanseder

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The Mystery of Gravitation and the Elementary Graviton Loop Tony Bermanseder The Mystery of Gravitation and the Elementary Graviton Loop Tony Bermanseder [email protected] This message shall address the mystery of gravitation and will prove to be a pertinent cornerstone for terrestrial scientists, who are searching for the unification physics in regards to their cosmologies. This message so requires familiarity with technical nomenclature, but I shall attempt to simplify sufficiently for all interested parties to follow the outlines. 1. Classically metric Newtonian-Einsteinian Gravitation and the Barycentre! 2. Quantum Gravitation and the Alpha-Force - Why two mass-charges attract each other! 3. Gauge-Vortex Gravitons in Modular String-Duality! 4. The Positronium Exemplar! 1. Classically metric Newtonian-Einsteinian Gravitation and the Barycentre! Most of you are know of gravity as the long-range force {F G}, given by Isaac Newton as the interaction between two masses {m 1,2 }, separated by a distance R and in the formula: 2 {F G =G.m 1.m 2/R } and where G is Newton's Gravitational Constant, presently measured as -11 -10 about 6.674x10 G-units and maximized in Planck- or string units as G o=1.111..x10 G-units. The masses m 1,2 are then used as 'point-masses', meaning that the mass of an object can be thought of as being centrally 'concentrated' as a 'centre of mass' and/or as a 'centre of gravity'. 24 For example, the mass of the earth is about m 1=6x10 kg and the mass of the sun is about 30 m2=2x10 kg and so as 'point-masses' the earth and the sun orbit or revolve about each other with a centre of mass or BARYCENTRE within the sun, but displaced towards the line connecting the two bodies. The sun and the earth are about 1 AU=Astronomical Unit or R=150 Million km apart and the formula for the Barycentre relative to earth is: {R B1 =R/[1+m 1/m 2]}~0.999997 R~149.999550 Million km and R B2 =R-RB1 = 450 km as the Barycentre within the sun's radius of nearly 700,000 km. So the sun 'wobbles' about the barycentre, with the earth orbiting around the same and the sun. The 'Force of Gravity' acting between the Sun and the Earth then calculates as so 3.56x10 22 Newton (N), but a force which is neutralized in balance at the Barycentre 450 km from the solar centre. More generally, the (vector) sum of the 'moments' of the point masses divided by the total mass: {R= Σmi.r i/Σmi } gives the centre of mass (vector) {R} as an average for the displacements between the point masses relative to the total mass content of the system analysed. Gaian physicists then attempt to unify the elementary interactions in applying gauge theories to the long-range interactions of electromagnetism and gravity with the short-range interactions, which are nuclear and associated with a weak leptonic force of radioactivity and a strong quarkian gluon-force of colour-charges. But the Newtonian modeling for gravitation proves insufficient for such unification attempts and the reason for this is the concept of distance and the idea of 'point-masses'. In particular, the 'Standard Model' of particle physics requires 'Mediator-particles' for all of the above interactions and the 'mediator for gravity', called the Graviton, has proven to be a mysterious 'beast' in the 'particle zoo' of that model (SM). This Graviton so must act as a long- range agent between 'point masses' and is also necessitated to unify with the other agents for electromagnetic interaction and the nuclear forces. Albert Einstein greatly improved the Newtonian model by allowing the 'space' between masses to become a property of the energy contained within that 'space of interaction'. Space itself becomes the medium in geometric terms to allow the mass-energy or inertia to manifest in the interaction of gravitation in the Theory of General Relativity. General Relativity then derives the mathematical formalisms to describe the 'Curvature of Space' as being a direct consequence of the Inertia present within that space. The presence of mass in space so curves this space around the mass as the Inertia of Newton {via the Newtonian Force- Momentum Laws based on: {F I =ma=d(mv)/dt for acceleration a, velocity v, time t and momentum p=mv}. Newton's inertial mass {m i} is then rendered equivalent to Einstein's gravitational mass {m g} in the form of the concept of a 'Geometrical Gravitational Field' becoming identical in terms of its acceleration potential to the acceleration a as given in the Inertial frames defined in the Laws of Isaac Newton and as m g=m i=m. The significance of Einstein's Gravitation as a classical geometric model is its generalization of space-time coordinates, known as metrics. For example, applying the 'curved lines' of the orbit of Mercury about the sun due to their gravitational interaction; 'corrects' the 'perihelion of Mercury' as calculated by the Newtonian Law, using 'straight lines'. Using Kepler's Laws of orbits in conjunction with Newton's law of gravity does not 'close' Mercury's orbit, so resulting in an 'advance' of the perihelion. Einstein's geometric adjustment then fine tunes the Kepler-Newton formalism to undo this advance. So it can be said, that Einstein's General Relativity has adjusted Newtonian Gravitation in rendering the latter more precise. But all attempts to extend Einsteinian Gravitation to encompass the quantum world of the 'point- masses' have failed and the reason for this failure is the metrics themselves. The 'point masses' engage what is called the world of the very small or micro-quantum and so the idea of using classical geometry in the Newtonian sense will falter at the definition of what those 'point masses' are in geometrical terms. A 'point mass' relates to a 'mathematical idealisation' called a 'point'. This point is well defined mathematically as an abstraction called NUMBER. But this Number cannot exist in a physical sense in the 'space of 3 dimensions', as any such 3- dimensional space is itself a mathematical construction of its lower dimensional precursors, namely the dimensionalities of a Null-Space, a 1D-Space known as a metric 'line' (relatively either straight or curved) and a 2D-Space known as area, surfaces or manifolds or planes. The application of Newtonian- or Einsteinian Gravitation so presupposes the existence of a 3D- Space as a volume of cross-sectional areas, the latter being constructed of say a summation of lines or metrics. Those metrics are however mathematically defined in the Summation of the 'Points' of the Null-Space and so reduce to the abstraction of the NUMBERS. The secret of gravitation then becomes the secret of the precursor metrics, the 'stuff' or 'essence' which allowed the metrics as the line-segments of the first dimension to emerge. This essence is the mathematical process, which rendered the Null-Space of the 'Point' as a NON-METRIC or a demetricated 'prespace'. This 'prespace' is NOT physical, but is mathematical and abstract and is able to MANIFEST a physical 'point mass' AS A PHYSICALLY ASSOCIATED 'point charge'. The 'point charge' so is precursive to a 'point-mass' in terms of any metric parameter using 3D- Space and any potential inertia contained therein. The 'point-charge' existing as a NUMBER in Null-Space then allows 'point-masses' to emerge in the first dimension as 'associated numbers', which subsequently integrate or sum as 'point spaces' to create the background coordinate metrics for Einsteinian Relativity and Minkowskian Spacetime. The mystery of the Unification Physics so changes from the fourfold synthesis of the gauge interactions in terms of the mediator particles {Graviton, Gauge Photon, Higgs-Weakon and Gluon} to the mystery of the 'point spaces', defined in something called 'point charges'. In terms of the existence of a universe comprised of 'point spaces'; it becomes necessary to associate each and every 'space-time quantum' with a 'point charge'. This is known by Gaian physicists as a Zero-Point-Energy, a Minimum Planck-Oscillator or as a Heisenberg-Vacuum. We may also term the ZPE the VPE and as the Vacuum-Potential-Energy or the Vortex-Potential-Energy. In other words, the physical universe becomes METRIC in summing 'point-spaces' or space-time quanta, defined in an 'essence' of 'point charges'; and where those 'point charges' are rather more elementary than anything manifesting within the metricated coordinate systems used in mathematical models to describe physical reality. The mensuration physics of terrestrial scientists is based on seven fundamental parameters: Displacement; Time; Mass; Temperature; Current; Luminosity; Molarity or in order the (SI)- units of: meter; second; kilogram; kelvin; ampere; candela and mole. These units are supplemented by a geometrical pi-unifier in the radian and the sterradian connecting the dimensional concepts of the 3 dimensions in lines, areas and volumes and by differential boundary conditions. But it is the concept of electric current, measured in the Ampere as the ratio of charge over time or as the product of charge and frequency; which is the most elementary measurement unit as a superposition of the charge parameter (measured in Coulombs). For the concept of Frequency as inverse time allows the mathematical concept of the Null-Space to become physicalised in the 'Flow of Charge'. This 'Charge-Flow' is the basis for the 'point charges'; as the charges measured in the Ampere are not necessarily the same as these 'point-charges'. In particular the idea of 'Electric Charge' as understood by Gaian physicists is ALWAYS associated with 'point masses' and is therefore not truly elementary because the 'point-masses' are themselves derivatives from the 'point spaces'.
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