Abstract

Physical reality must be
simple. This reasoning is the general
idea behind Occam’s razor. However, it is
also a general physical principle.

Foundation

The foundation
of physical reality has a very simple structure. This structure also has the
property that it, similarly to the evolution of a seed, automatically extends
into higher levels of the structure of physical reality that are
more complicated and offer more functionality.

Sets are
very simple structures, but they do not automatically extend to a more complicated higher level structure.

Relational
structures are sets that restrict the kind of relations that are allowed to
exist between the elements of the set. An enormous diversity of such relational
structures exists. One of them is classical logic. Its elements are logical
propositions. This structure does not automatically extend into a more complicated structure.

Extension

In 1936 two
scientists discovered a relational structure that is quite like classical logic and
therefore they called it quantum logic. It automatically extends into a
separable Hilbert space. A Hilbert space is a mathematical repository that can
store separate numbers in the eigenspace of an operator. Hilbert spaces can
only cope with real numbers, complex numbers, and quaternions. Quaternions can
store combinations of a real scalar and a three-dimensional vector. Thus, these
numbers are ideally suited for the storage of a timestamp and a three-dimensional
spatial location.

Each infinite
dimensional separable Hilbert space owns a unique non-separable Hilbert space
that embeds its separable partner and its contents.  The non-separable partner harbors operators
that can store quaternionic continuums. The combination respresents a base
model that features a subspace which scans over the base model as a function of
a real progression value. In this way,
the scan sequences the stored timestamps. This base model offers a powerful
platform for modeling the dynamical
behavior of physical reality. It combines Hilbert space operator technology with
quaternionic differential and integral calculus.

Modules   

An
important observation is that all observable objects in the universe are
modules or modular systems. A set of elementary modules exist that configure all
other modules. Also, two categories of
super-tiny objcts exist that in separation stay unobservable, but that in huge
ensembles become perceivable.  These
objects are shock fronts. Warps are one-dimensional shock fronts that carry a
standard bit of energy. Clamps are three-dimensional spherical shock fronts
that carry a standard bit of mass. Together, these super-tiny objects configure
all other discrete objects. Shock fronts only occur as the reaction of a carrier field on a trigger. A
periodic one-dimensional trigger can generate strings of warps that behave like photons.  A private stochastic process that owns a
characteristic function generates the hop landing locations of elementary
modules that hop around in a stochastic hopping path. The hop landing locations
constitute a hop landing location swarm
that coherently moves as one single unit.   

The
elementary modules combine into modules,
and stochastic processes that own a characteristic function also generate the
footprints of these modules. Consequently,
the module also moves coherently as a single object. Thus this characteristic
function controls the bindinding of the components of the module. Finally, modules
configure modular systems.   

References

[1] “Division algebras
and quantum theory” by John Baez. http://arxiv.org/abs/1101.5690

[2] Rediscovered Dark Quanta; http://vixra.org/abs/1709.0150
 

[3] Hilbert Book Model; https://en.wikiversity.org/wiki/Hilbert_Book_Model_Project