1.   Prove that a hyperverse and 3D universes within it can be described in Euclidean coordinate systems.

Euclidean mathematics is standard from many sources, including high school texts. The mapping of the fluid properties to the coordinate system is summarized here and presented in Reference 1 in the book.

2.   Proof that special relativity can occur due to combined motion of vortices and 3D universes in a Euclidean hyperverse.

The essential aspects of this key derivation are published in Reference 1 of the book, and presented in summary form early in this chapter.

3.   Proof that the outcome of 19^th century attempts to detect fluid are consistent with this hypervortex model.

The mathematics showing that this model explains those results, while performed in detail, are not included here, and not otherwise published.

4.   Construction of the hypervortex mathematics into one single descriptive equation.

This is provided in the book using the widely used Lagrange formalism (see Reference 5 in the book is a personal favorite for a description of the formalism.) The version in the book includes aspects not previously included in Reference 1.

5.   Equations of motion for the fluid

Shown in the chapter to add on equation to Maxwell's equations (that unify electricity, magnetism, and optics) and which thereby couple electromagnetism and gravity.

6.   Proof that hyperfluid leads to gravity that matches the observed results of General Relativity.

The book uses the new equations to derive an exponential form for gravity, exp(-1/r), replacing 1/r gravity. Various published works by various authors since at least the 1970's show that the observed aspects of general relativity are equivalent to such a change in the gravitational force law, so the details of that are omitted in the book.

7.   Proof that the gravity provided by a objects is proportional to its inertial mass

The book derives the additive property of gravity and the equivalence of gravitational mass and inertial mass.

8.   Proof that the hyperfluid provides electromagnetism.

The chapter includes a full derivation of electromagnetism showing that it results from the motion of the hyperfluid.

9.   Proof that the electric charge and mass of elementary particles derive from the fluid properties

The chapter derives an equation for electric charge as a function of vortex structure. The chapter also shows that particle mass is energy; it does not attempt to derive the mass of any particular elementary particles. Rather it provides a path to do so and discusses some refinements to the hyperfluid properties that such effort might discover.

10.   Proof that the hypervortex model includes strong and weak forces.

The book presents a path to such a proof. In particular it shows how switching from the Lagrangian mathematical formalism to the Hamilton formalism (see Reference 5 in the book) is appropriate for such effort.

11.   Proof that the hyperfluid includes quantum mechanics. (Schrödinger Equation)

The book shows in part how the coupling between gravity and electromagnetic, leads to a non-linear form of a Schrödinger-like equation and discusses the use of Hamilton-Jacobi methods (Reference 5 in the book) to derive the Schrödinger Equation as a linear approximation.

12.   Proof that the hyperfluid includes quantum mechanics. (Heisenberg Uncertainty)

The book summarizes a derivation that shows how the Heisenberg Uncertainty relation relates to motions of vortices; the detailed mathematics has been performed but is not included, and not otherwise published.

13.   Derivation of an expanding universe as a solution to the hyperfluid equations

The book includes a derivation of universe expansion that builds on the derivation provided in Reference 1.

14.   Derivation of mechanisms in DNA fundamental to our observation of 3D universes, causality and the elapse of time.

The book omits this. Chapter 8 describes some of the results in some detail, but the details are not otherwise published in the public literature.