This is again just a philosophical note. Where dimensions exist-in empty space or within mass and energy is the subject.
For now my opinion is that dimensions exist within mass/energy in some way rather than in empty space.
There was or is a perennial philosophical question about where the center of space is. If space exists infinitely in all directions then every place is effectively the center. Yet there is another more modern opinion that space and time expand together from a very small compact point or possibly a larger membrane. In this sort of criterion space-time and its mass energy are a kind of substance that expand as a unified field into the pre-existing empty volume of space.
Thus there is space-time type X and empty space without time type Y. Spaces X and Y are different.
Modern cosmological theories consider space-time X and nearly entirely disregard empty space type Y, except that some theorists regard type Y as a perturbative vacuum in which virtual particles emergence and sometimes collective together under a primitive kind of gravity to form a singularity and then an expansive space-time universe of type X in a region of empty space type Y.
M-theory (Mystery string theory) has perhaps an infinite number of versions that might be able to describe the particular configurations of laws and force structures that comprise a Type X space-time inflationary universe. A popular theory has a ten dimensional bubble universe with three large dimensions and six small ones.
It is thought by some theorists that the number of dimensions of a Type X space-time and the configurations of the dimensions with varying numbers of large and small dimensions is effectively unlimited. If the number of dimensions of a Type X space-time inflationary bubble universe is variable and the Type Y empty space a dimensionless volume that receives the Type X space-time mass energy and dimensions it seems reasonable to assume that the quality of dimensions manifested to human observers must be an implicit characteristic of the mass-energy of space-time Type X.
One can talk about space-time as a real empty thing, yet it seems rather to be a relation amidst mass-energy. For instance the present distribution of average atoms in the space-time of the observable universe is just one atom per cubic meter (seven atoms per cubic meter is said to be the omega-big crunch level).
The spacing of atoms is not unlike the spacing of quanta at all levels in space-time, and so it is possible that the dimensions are behavorial characteristics of mass-energy as well as of their formation at various levels of comparative energy or power instead of in the empty space volume that hosts the expanding space-time Type X local universe.
You might think that I have recombined the spaces of Type X and Type Y here by using empty space Y to fill in the gaps between mass of Type X. Einstein's general theory makes that necessary because space is regarded as a malleable thing curved by gravity (at least for us non-scientists).
If dimensions are located within mass and form the simultaneous behavior of mass quanta in 3 large and six small dimensions-with only very small particles or waves formed in very small dimensions and only larger things like atoms and planets existing in three larger dimensions, and if the empty space just fills in the gaps or spacing of mass-energy flowing through appropriate dimensions then space does not need to curve or be anything besides completely empty.
If space is really absolutely nothing and mass-energy and its dimensions extrude into that nothing quantum uncertainty capable of letting some mass energy journey across the smallest dimensions or sub-dimensions of small dimensions would seem easier to account for. Quantum entanglement or faster than light conveyance of spin information of entangled particles is a result of waves at a similar sub-dimensional level emerge from an entangled state into a state in larger dimensions in the same condition.
In the larger dimensions they may be far apart, in the sub-dimensions they merely needed to journey across the nothing of Type Y space. With dimensions existing in mass-energy instead of a Type X space, the appearance of the curvature of space in a gravitational field can be considered explained better by describing the attraction of mass-energy in three dimensions as a phenomena derived from the quantum status of mass in the sub-dimensional protocol.
There are numerous ways of regarding the phenomenon of gravity in three dimensions in the criterion of dimensions existing in mass instead of in space. The same empty space of an eternal inflationary universe of Type X bubbles is supposed to host an infinitely variable number of dimensions. It seems more reasonable to suppose that Type Y empty space as nothingness can host an infinite number of dimensions of mass without changing its own character at all than to believe that Type Y empty space would itself change an infinite number of times locally as Type X inflationary space-time warps it into hyper dimensional pretzels.
It isn't known to most non-scientists that a 3 dimensional space is uniquely suitable for the formation and existence of mass that orbits such as that of atoms, planets and galaxies. One of Einstein's friends and teachers developed that idea.
With four or more large dimensions it would be not be possible to form the elements, with two dimensions they would never get off the surface of a sheet of paper-with extra smaller dimensions supporting three larger ones it seems to be o.k. for a Universe with mass in it such as this one.
It seems easier to believe that complex dimensions of mass in space-time Type X grow from a zero-dimensional empty-space of Type Y then that Type Y empty space has some sort of fixed, inflexible dimensional number within it. Type Y empty space probably hasn't got energy in it-not even virtual particles except as they intrude or remain from some non Type Y empty space source.
Rather than accepting the foggy notion that Type Y empty space generates virtual particle energy that is drawn together to form dimensional aggregations of mass-energy it is easier to believe that dimensional strings or one-dimensional energy monads from an unknown origin existing in Type Y empty space in unknown quantity (possibly infinite and dispersed across infinite Type Y empty space) are the source for more complex dimensional structures of mass-energy.
It is the origin, appearance and distribution of virtual particles in Type Y empty space that is of interest. One immediately resumes the sort of philosophical speculations that have been recorded since the pre-Socratic philosophers about volume of space, content of mass in space, and distibution of mass and space as finite and/or infinite.
In dimensionless empty space an influx of infinite one dimensional waves from God might stock Type Y empty space with infinite mass/energy potential. I guess that would be like a cosmological virgin birth hypothesis of mass-energy.
Would the wave oscillate unbound through 3 dimensions generating them as it goes around like an infinite circular irrigation sprinkler in a field?
There are a variety of conjectures possible regarding existentially transcendent energy interpolated into a zero-dimensional Type Y no-dimensional empty space capable of hosting infinite numbers of dimensions locally in concatenations added to infinite Type Y empty space.
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