A Quantum Field Theory Conjecture for the Origin of Gravitation V2

Gravitation defined in curved space has never been found to be compatible with quantum mechanics or quantum field theory. This is likely due to the fact that one theory is based in local conservation of energy and the other defines energy globally, and not locally conserved [Noether 1]. Equations mixed with variables from the two conservation laws, could neither be invariant nor covariant under coordinate transformations. This paper presents a theory for a gradient in c induced by QFT equivalent to the gradient in c induced by gravitation. In previous papers the author has illustrated that for photons, and confined light speed particles, a gradient in c demonstrates the effect of gravitation. The illustration of a gradient in c generated by Quantum Field Theory equivalent to gravitation therefore creates a theoretical mechanism for gravitation within a Lorenz, local conservation four-space. With a few assumptions regarding the nature of photons and the reality of path integrals, a gradient in c equivalent to gravitation can be illustrated as a feature of Quantum Field Theory. Introduction Paul Davies in his introduction to Six Easy Pieces by Richard P. Feynman said: ”You could not imagine the sum-over-histories picture being true for a part of nature and untrue for another part. You could not imagine it being true for electrons and untrue for gravity” If gravitation is a gradient in c as discussed by the author in other papers, then there must be a mechanism for inducing a change induced by a locally confined energy. This paper discusses how this is possible. Feynman proposed that for a photon, or any particle, going from one point to another, there is a probability of the particle has traveled every possible path [2], and by very accurate measurements of quantum effects there is every reason to believe that this is true. It is not unreasonable to presume that the interaction of these photons with passing photons could make velocity changes to the index of refraction for these photons Some say that the sum-over-histories picture is just a mathematical equivalence of QFT that predicts the proper path, and not really a probability of the particle being elsewhere. The action at distance of phenomena of the bell inequality, and the Aharonov-Bohm Effect [3], suggest a reality to the many path view, and for our purpose it will be proposed that the photons are real, near point particles that have a probability density located off the classical trajectory. Speed of Light In Gravity It is well known that a photon moving in a gravitational field has a trajectory that can be defined by Fermat’s principle in Minkowski flat space with a variable speed of light with no other gravitational influence. The relation for the index of refraction developed from GR by Blandford, & Thorne with a flat metric is: [4], [5] 1 0 0 2 2 c 2 1 or c c 1 or r r c r                        (1) The confined lightspeed sub-particles in a massive particle functions inertially equivalent to a mass particle and experiences the same acceleration in a variable index of refraction as a mass particle in a gravitational field. It has been argued that the internal constituents of all mass propagate with a velocity dependent on c and are also accelerated in a gradient just as confined photons. The same acceleration of massive particles as for photons would be induced by a gradient in c. [6] Topics: Speed of light in gravity Simplest Rest Mass Model Feynman Photons Nature of the Photon Propositions Rational for Postulates Photon-Photon Interaction Probability of Feynman path photon Density Spatial Index of Refraction induced by QFT Conclusion Included Appendix Why Vacuum Polarization is not in Play Cosmological c Simplest Rest Mass Model The photon carries an energy that, though in general tiny, must exert a gravitational pull on the particle whose position we wish to measure, and therefore must generate gravitation [7]. In order to define a simple thought experiment, the start will be by setting forth the simplest form of rest mass possible: a standing wave photon oscillation between two reflectors. This photon is functionally equivalent to a rest mass and must generate gravitation proportional to its confined energy 2 m E / c  . The mechanism that induces gravitation must be present in this simple system, but there is very little in classical physics that would suggest a causal connection between the oscillating photon and the passing photon. The interaction induced by the conjecture of Feynman, of the photon paths taken by a particle going from one point to another existing outside the classical path could offer the causal connection.