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Quantum electrodynamics (QED) is the relativistic quantum field theory of electrodynamics. Its theoretical framework combines classical field theory, special relativity and the quantum mechanical properties of particles as excited states of quantum fields, which it assumes are more fundamental than the particles. However, it has not been able to derive gravity in terms of either a classical or relativistic field
In Relativity the exchange of energy between particles is derived terms of the evolution of an electromagnetic wave moving through the continuous field properties of space-time and derives gravity and THEREFORE MASS in terms of an increase in the local energy density of that field.
While Schrödinger’s version of QED describes the energy of a quantum system in terms of the mathematical evolution of the wave function.
Putting it another way both QED and Relativity derive the evolution of their environments in terms of waves. Relativity defines it in terms of an electromagnetic wave moving thought them while QED mathematically defines it in terms of an interaction of the wave function with those of a quantum field.
As was mentioned earlier the General Theory of Relativity derives gravity in terms of an increase in the local energy density in the field properties of space-time.
This means one MAY be able to integrate gravity into QED by showing a how the mathematical evolution of the wave function defines an increase the local energy density in a quantum environment in terms of the field properties of space-time.
But before we begin, we need to establish a connection between the evolution of the wave function in and the universe of space-time. This can be accomplished because as was mentioned earlier in Relativity evolution of a particle is the result of an electromagnetic wave while, the wave function represents how a Quantum environment evolves to create a particle.
For example, the science of wave mechanics and the fact Relatively tells us the energy of an electromagnetic wave energy would move continuously through space-time unless it is prevented from by moving through time by someone observing or something interacting with it. This would result in its energy being confined to three-dimensional space. The science of wave mechanics also tells us the three-dimensional “walls” of this confinement will result in its energy being reflected back on itself thereby creating a resonant or standing wave in three-dimensional space. This would cause its wave energy to be CONCENTRATED at the point in space where a particle would be found thereby increasing it energy density. Additionally, wave mechanics also tells us the energy of a resonant system, such as a standing wave which this confinement would create can only take on the discrete or quantized values associated with its fundamental or a harmonic of its fundamental frequency.
Putting it another way when an electromagnetic wave is prevented from moving through space time either by being observed or encountering an object it is reduced or “Collapses” to a form a standing wave that would define the quantized energy quantum mechanics associates with a particle.
This integrates gravity into QED in terms of how and why an interaction of both the mathematical properties of the wavefunction or an electromagnetic wave a space-time field would cause a QUANTIZED increase in energy density and therefore the gravitational potential in a specific region of space.
In other words, it is possible to understand why gravity is quantized in terms of both QED and Relativity by assuming it is the result of interaction of a wave moving through their respective fields. For example, as was shown above when an electromagnetic wave interacts with the field properties of space-time it would create a quantized increase in the energy density of space. While, as was also shown above when the mathematical properties of the wave function interacts with excited states of the quantum field QED associates with a particle causes an increase in the local energy density of space which Einstein tells us is responsible for gravity.