I created the Hypergeometrical Universe Theory (HU).  HU proposes a new model for matter where it is modeled as polymers of the Fundamental Dilator (FS).

The Fundamental Dilator (FD) is a coherence between stationary states of deformation of the local metric. So, HU proposes that matter is shapeshifting spinning deformations of space.

HU also proposes a new topology for the Universe. HU proposes that the 3D Universe is the hypersurface on a lightspeed expanding hypersphere.

So, FD changes shape as it tunnels between different deformation states and spins in a non-compact 4D spatial manifold.

What this picture brings:

a) Shapeshifting FDs communicate through their dilaton fields. 

b) The Quantum Lagrangian Principle states that FDs will dilate space in phase with the surrounding dilaton field.  This principle is used to derive Natural Laws.

c) Lightspeed expanding hyperspherical topology immediately solves the issue of CMB homogeneity. No Inflation Theory is necessary.

d) Gravitation is derived from FD and QLP and it is epoch-dependent.

e) The derivation of natural laws from first principles provide insight on what is the meaning of a Force. A Force changes the state of motion TANGENTIALLY. This means that forces have no effect either on radial motion (which is inertial), nor they would have any effect if the Universe were not in Motion.

f) During the derivation of the Gravitational Constant, I required the elasticity of space be independent upon the radius of the hypersphere. That led to a natural frequency for metric waves of 111,101 Hz.

FD phases corresponds to the four fundamental particles: electron, proton, antiproton, positron. 

The spinning has a 1/2 relationship with tunneling. This is necessary for the Fundamental Dilator to keep its nature. FD are supposed to be very thin along the radial direction. As soon as it start spinning, the FD cross-section vanishes and so does interaction. This is the reason for the Stroboscopic Nature of the Universe. This plus QLP are also the basis for Quantum Mechanics.

FD is a monomer and looks like a point if seen along the radial direction.

Neutron is a dimer. The red lines are the transmutation chords.  HU matter model is a musical paradigm. FD create a dilaton field (sound) and they do that in synch with the surrounding FDs.  This is the Flying Orchestra paradigm.

Transmutations chords can be easily seen as operations that change the phase relationship between tunneling and spinning.

We will next cover the hyperon family.

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