Reading Flatterland by Ian Stewart (2000) I
encountered a chapter about dimensions-a topic I am interested in. That led to
information about what dimensions are described as (in physics it has traditionally
been 3 directions plus maybe time). With non-Euclidean math and algebra it was
possible for mathematicians to evolve the notion of extra dimensions. If one
has a 2-dimensional quad/grid one can use that square or power of 2 notation.
Eventually one finds cube roots or 3rd power and I guess extra,
higher powers although I seem to recall something about Abelian algebra issues with
some higher powers.
Regular shapes from geometry can thus be described
with natural and real numbers algebraically, although the product of such
constructions can be fiction or consistent just in mathematics. Some physicists
created the idea of dimensions as being a kind of set theory criteria
apparently redefining what a dimension is. So any number of dimensions with
what are in effect defined as a given set might coexist with Hilbert Space.
Hilbert Space is a given area with four dimensions
inclusive of time wherein any number of dimensions defined as behaviors of
motions could exist. Nevertheless the dimensions tend to all exist within the
boundaries of Hilbert Space rather than is alternate Universes made of
different dimensions of the other kind of definition.
Maybe Multiverse theory does not extend dimensions beyond real
(Hilbert) space of necessarily within the implicit construction of
its math. Obviously I am not a mathematician. Clever dimensional
modeling remain simply theoretical constructions that physicists
might infer something about reality with. Maybe
Multiverse theory does not extend dimensions beyond real (Hilbert)
space of necessarily within the implicit construction of its math.
Obviously I am not a mathematician. Clever dimensional modeling
remain simply theoretical constructions that physicists might infer
something about reality with it. Some regard space of the Universe as
expanding. Like upwelling ocean currents nothingness is thought to
upwell into pre-existing space making evermore of nothing. Nothing
times nothing equals nothing? The square root of minus one
equivocates the reality of nothing? Maybe it is easier to regard
nothing as omnipresent except where something is existing or made to
exist. Rather than space expanding it is the Higgs field expanding or
being active in some way. It might be some other more primary field
of the Universe that is subject to change that gives rise to the
appearance that space in-itself; nothingness, is expanding. The
effects might be the same, although possibly not in present
mathematical models.
What description encompasses the entire Universe of
economic action? Multi-dimensional economic models would provide no finite and
simultaneous infinite, accurate set descriptions of actual states of affairs. Economics
is a purpose, an antinomy to art yet the flip side of it simultaneously.
Economics is a clump of precision engineering of wishes to bring in a harvest
of potatoes before the season's shadows grow long and frosts descend upon the
fields. It is a complete world of opportunities and ideas interacting with
material, finite material, of which planets are made of.
Economics of Wall Street physics can construct external reality such that if the theoretical models don't crash immediately they may crash later after dimensional cosmonuats have extracted a suitable profit-for-sponsers (ref. 2008 crash).