Field theory approaches to understanding Quantum Theory

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Peter Morgan said:
You're absolutely right that I have eschewed Hamiltonian and Lagrangian methods as a starting point,

Quantum theory regards all elementary particles as 'point-like' objects without providing a clear definition for the term. Composite fermions and their decay products are referred to as 'two dimensional' objects. As far as the structure of the particles are concerned the theory is not transferable to a three dimensional frame (See chapter 5 of 'Composite Fermions' by Jainendra K Jain). Hence, in order to describe particles in their natural (three dimensional) state; it is, of course; necessary to abandon the starting points of two dimensional theories (i.e. Hamiltonian and Lagrangian).
The cross over between two and three dimensional theories occurs on the radius that is common to both two and three dimensional structures in the form of a 'linear vacuum force'. Three dimensional theory is classical physics, Quantum theory is mathematical prediction.
 
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I agree that we need to make contact with the world.

With prove itself I meant to "prove it's predictive power" not just some type of consistency proofs.

Since I envision a fundamentally new construction of interactions, at minimum I would need to able to reproduce the body of existing phenomenology, this includes the reproductions of the standard particle model as far as they are tested, and general relativity as far as tested. If I can do that, from other first principles, then I think it would be a fair motivation to provide to others to look at this, and take it to the next step and invest in testing some of the NEW predictions, which would be the real test of course. But since testing theories sometimes cost money I think even a physicist needs to be a bit of a salesman.

But other than that I see ways of testing some of these ideas without expensive particle labs. After all physics isn't just about particle physics. It's also about complex phenomena, and they are all around us. Artificial intelligence and evolutionary learning is also a field where I see a strong possibilitiy for testing the ideas. This can attract others than merely physicists.

/Fredrik