Explanation of Feynman Interactions Under the New System

Since E will be conserved in a closed system this system is closed on the interval “the whole universe” and is constant, only will change, and will do so according to a h N Poisson operator, since anticommutativity is in effect due to the need to conserve a value for the Hamiltonian and since in , products must be Lie like . ฀ ฀ 3.3. The Lie HIlbert space whose basis is pseudo-Boolean has function-function operators whenever the two functions are contained in separate points which are Poissonian. Thus, particle interactions are represented with the Poisson bracket, { } , which is , p p α β equal to the deformation of one to a new form, X Boolean iff Y X : Y → X : X → Y More generally, Q} iff Ⓗ{Q} {Q} { = ੬ α {Q} : ... ੬ Q} : n {Q} → { ′ = Ⓗ ′ Which says that the set of all points includes points which are permitted to map with each other to form a permutation of {Q}, called {Q}’. The “speed of particle” equation given earlier does not necessitate that a particle move only to from one point to an adjacent partner. This is true because: 1 “particles” do not move in this model, rather pseudo-Boolean spaces are deformed; 2 particles need only move according to the “Speed of Particle” equation based on the Hamiltonian. Thus, particles may cross large distances based on conservation of global energy, allowing for local violations of the Hamiltonian. More colloquially, “spooky action at a distance” is clearly permitted by the theory. This fact at first seems to suggest that {Q}, which is all throughout , is completely ฀ unbound to remain in any particular order. However, this is not the case for three reasons. Firstly, the motion of particles does not constitute the motion of points in a space in respect to each other, but rather a deformation of the point which, remember, is itself a Pseudo-Boolean space. Secondly, each point’s position is certain to itself and relative to other points, since its neighborhood is shaped locally like a 4-torus remember from Section 3.1. Thirdly, the definition of dictates that the points maintain the same ฀ “ordering” relative to each other. The points are permitted to experience change overlap of neighborhood and indistinguishability, but they maintain their order.

3.4. Explanation of Feynman Interactions Under the New System

Particles interact in this theory when one is deformed by energy from another. X Boolean Below are tables of Leptons and Quarks made

3.4.1. Explanation of conservation of charge, mass, lepton number, and baryon number

fyb985 Quantum numbers like Baryon and Lepton number which are conserved in Feynman interactions in traditional quantum mechanics are still conserved in this model: they are just conserved through application of the Hamiltonian. Quantum numbers are represented as Boolean value of an individual pseudo-Boolean space in ​H​. Charge is described: . c = charges ∑ number of charged poles This gives all quarks charges of 1 ​e ​ if observed alone, contrary to convention which gives quarks charges of either ​e ​ or e ​ . However, quarks are not observed alone, but in + 3 2 − 3 1 particles. When quarks combine as shown in the below diagrams ​Quark Structure of a Proton ​and ​Quark Structure of a Neutron​, it is clear that this new model is able to produce identical results to conventional nuclear physics. Spin is represented by the simple formula, . s = charges ∑ number of charged poles 2 There is no inconsistency between spin predictions made by this model and spins observed experimentally or predicted by other contemporary models. In the below diagrams, pairs or spokes represent dipolar pairs in any ​ and the X Boolean black dots represent the charges of ​ discussed above. X Boolean fyb985 fyb985

4.0. Conclusion and Evaluation

It has been demonstrated through construction that it is possible to describe all four fundamental forces, as well as length and time, as quantities which emerge from a vector Hilbert space which is Lie and permits Poisson operators with Pseudo-Boolean spaces as a vector basis. This paper is limited by its experimental testability; an experiment to test the structure of space proposed here is as unviable today as is any modern string experiment. A second limit is that the model predicts that outside of the macroscopic universe, the macroscopic universe appears to be a single point. Such a curvature is not predicted by any mainstream models, thus the unfamiliarity of the predictions make the theory more impractical. Thirdly, it is limited by its connection to Verlinde’s controversial high-entropy fyb985