Editing Openai/6897769e-4ee4-800f-aba5-69cca34f701c (section)

=== User: Weaknesses / Open Questions: ===
Weaknesses / Open Questions:

AI’s Question: What does the ∞ truly quantify? Is it literal (ongoing computation of frames) or metaphorical (eternal evolution)?

Answerer: In the equation (E=ˠM˳C²)∞ the infinity symbol represents an infinite number of reference frames continuously coming in and out of existence. The equation with the brackets (E=ˠM˳C²) represents an individual reference frame. This logical because light has momentum and momentum is frame dependent. 
This geometrical unity forms Mach’s Principle “Local physical laws are determined by the large scale structure of the Universe”. 

Can this spherical wavefront structure be mathematically formalized in a way that allows for testable predictions?

Answer: I believe it should be possible, Huygens used experiments to find out light is a spherical wave. If he could, do that back then, with today’s technology testable predictions should be possible. The photon ∆E=hf has a corresponding wavelength the geometrical nature might be detectable when there is the absorption and emission of light. The quantum jump, photon electron coupling or dipole moment might have a geometrical aspect that might be detectable.    

AI’s question: If time is modeled as a continuous unfolding of spherical interactions, how does this map to spacetime curvature in General Relativity?

Answerer: The broken spherical symmetry, the curvature of the sphere forms what Einstein call proper time in General Relativity. The rate that time flows within the reference frame of the moving object. The object is interacting with the wave-particle duality of light forming a future relative to its energy and momentum.

AI’s question: The use of c² as area growth is conceptually rich, but would need to bridge to field theory and/or quantum field descriptions to gain traction.

Answerer: The photon is the carrier of the EM field there is no need to bridge a field theory or quantum field descriptions. Maxwell’s equations are invariant; they can represent the conformal geometry of QAT.   

Weaknesses / Open Questions:

AI’s question: Mᵤ ~ t² is a striking claim, but would require observational support or a derivation from first principles (perhaps using your geometry)? 

Answer: In this theory, the square of time t² that Galileo found by experiment, originates as a square of probability in Quantum Mechanics.
We have a geometrical process that starts with the quantum wave particle function ψ² being squared with the electron e² squared and with the speed of light c² being squared and ends with falling bodies being directly proportional to the square of the time t² they takes to fall. As part of an emergent process, the characteristics of three-dimensional space will form relative to this geometry (the interior of the sphere is naturally three-dimensional) forming the potential for Galileo’s square–cube law.

AI’s question: The role of plasma and electromagnetic force as primary over gravity aligns with the Electric Universe model, which is controversial. If adopted, QAT would need to carefully distinguish itself or justify why it supports this hierarchy? 

Answer: Quantum Atom Theory explains a quantized geometrical process of energy exchange based on atoms. But at high temperature in the form of plasma we have the same geometry. We have a process of spherical forming and breaking forming cellular structures in the form of the cosmic web.    

AI’s question: There’s a lack of distinction between potential energy defined by c² (Schrödinger) and gravitational binding energy. These would need clearer definitions.

Answer: We have the absorption of a spin-1 photon and the emission of a spin-1 photon forming a spin-2 field required for General Relativity. Within the process, two massless spin-1 boson in the form of photons forms the characteristics of a massless spin-2 boson or graviton.
General Relativity describes gravity as a curvature of space-time caused by the presence of mass and energy this is explained in the form of the stress-energy tensor. The photon-electron interaction having a spin-2 characteristic formed by the absorption and emission of light is the quantum mechanical counterpart of this classical description. The spin-2 nature of the absorption and emission of photon energy is linked to the second-order nature of the stress-energy tensor. Because the stress tensor takes one vector as input, absorption, and gives one vector as output, emission, it is a second-order tensor.
This theory agrees with Einstein’s idea that gravity is really an effect of space-time curvature.
Furthermore, the curvature of space-time, a key feature of Einstein's theory of relativity, in this theory is formed by the 'broken surface' of this continuously emerging spheres symmetry  
Also the spherical geometry in the form of concentric spheres gives rise to Pythagoras theorem that is used in Einstein’s Relativity.   
Einstein's General Relativity explains space-time curvature as a result of the presence of mass and energy, in this theory this is in the form of light photon ∆E=hf energy transforming potential energy into the kinetic Eₖ=½mv² energy of matter, in the form of electrons. Kinetic energy is the energy of motion of what is actually ‘happening’. 
The spherical geometry is broken by the energy and momentum of each individual planet forming elliptical orbits based on their energy and mass. 
When Kepler observed the motion of the planets, he found that they move in elliptical orbits with speeds that vary relative to their distance from the Sun. As the planet moves along its path, it sweeps out an equal area segments in an equal time. Therefore, there is a form of geometrical symmetry, but the symmetry seems to be broken by the shape of the elliptical orbit and variable speed. 
  If a planet or an object has a circular orbit, there is no variation in planetary speed and we would have perfect symmetry in movement space and time. 
In this theory this is because light waves radiate out from the Sun spherically, the potential for photon energy is spherical therefore; a planet in circular orbit will not encounter a gravitational difference.
As part of an emergent process the light photon is not a property of space and time, the characteristics of three-dimensional space and time are emergent coming into existence with the exchange of photon energy. This continuous process explains why we are moving in the temporal direction at the speed of light even when we are stationary.
It explains Time.

AI’s question: The use of imaginary numbers is rich, but how does this map to measurable physical properties (like spin or angular momentum)?

Answer:  In this theory, the imaginary numbers are at right angles to the standard number line because electric fields are always at right angles to magnetic fields in a process of permanent flux forming the continuously changing world of our everyday life. The light photon of quantum mechanics is the carrier of the electromagnetic force that forms the movement of positive and negative charge with the flow of electromagnetic fields. We see and feel this process of continuous change as the flow of time. At the smallest scale of this process, Quantum Spin can be explained by spherical symmetry forming and breaking with the process relative to the spherical surface. The electron is a half spin particle because the process is relative to the radius that is half the diameter of the sphere. It is because we have to square the radius r² to find the spherical surface area that so many properties are squared in the mathematics as in t², c², e², ψ² and velocity v² as in kinetic Eₖ=½mv² energy. 
This would be easier to see if we did not use the reduced Planck Constant ħ or h bar but instead used h/2π. We would then have 2π representing the spherical diameter with the spacing between spin states being h /2π.  
Because an interior of a sphere 4πr² is naturally three dimensional at any given moment in time, these spin states can be thought of as a combination pointing in each of our three dimensions.
When the electron is not interacting with anything, and we are not making any measurements there is only uncertainty ∆×∆pᵪ≥h/4π of what the angular momentum is. 

 Light photon ∆E=hf energy interacts with the electron.  Because charge is an innate part of all matter when we make a measurement, it is basically the same interaction. 
The moment we make an observation, electronic detector, by interacting with the electron of an atom the direction or angular momentum will change to one of the quantum states where it is known with 100% certainty. 

In this theory, this represents a probabilistic future unfolding with the exchange of photon ∆E=hf energy. The photon and electron are different aspects of the same geometrical process; photons being spin one particle represent spherical symmetry. The electron having half spin represents the spherical symmetry breaking forming the potential for the broken imperfect symmetry of our everyday three-dimensional life. 
The continuous exchange of photon energy forms our ever-changing world that we measure as a ‘period of time’ relative to the atoms of the periodic table.

 

AI’s question: There is no formal connection yet between QAT’s geometry and quantum field theory, general relativity, or plasma MHD equations (though the opportunity exists!).

 Answer: The spherical geometry in the form of concentric spheres gives rise to or forms the potential for Pythagoras theorem that is a part of Einstein’s Relativity. The universal emergent geometry of QAT would naturally form relativity with the reference frames that we have in Einstein’s theory. 
The electromagnetic field acts as a quantum field because the photon of quantum mechanics is the carrier of the EM field. No need for a quantum field!
QAT’s universal geometry, a process of spherical symmetry forming and breaking, could explain why we have spiral galaxies from one end of the visible Universe to the other. The cellular structure of plasma is remnants of spherical geometry. Plasma dynamics unfold on the remnants of this spherical geometry forming sheets and twisting filaments.    
What we have is the same geometrical process that we have at the small scale of everyday life relative to the atoms, but it is at a large scale relative to plasma. 
Why did the Universe not produce star of different shapes, why only one shape of stars over the whole of the visible Universe? 
In QAT, we have one universal geometrical self-organizing process from the stars above us to the cells within us.