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That's true unless the other dimensions never interact with ours, and if that's the case, then the non-interacting other dimensions don't have any explanatory value for anything we can see, because they are non-interacting.
Pseudoscientists lean heavily on the assumption that their readers will know absolutely nothing about science or math. This is a pretty safe assumption, alas. And it requires no effort on the part of the pseudoscientist, because he also invariably knows no science or math either.
It is worth summarizing the ways in which the various concepts of "higher dimensions'' gradually diffused out from legitimate math and science, through hundreds of increasingly distorted, confused and muddled journalistic presentations and sensationalizations, into late 19th Century science fiction and 20th Century pseudoscience.
In the late 19th Century mathematicians became increasingly interested in the foundations of geometry. Our own universe has 3 space dimensions. But what would geometry be like if there were 4 space dimensions? Or 5? Or 10? Or an arbitrary number? Or an infinite number? Mathematicians worked a great deal on geometries with arbitrary numbers of space dimensions.
Mathematicians also worked a great deal on "non-Euclidian'' geometries that violate one or more of the postulates of Euclid. In Euclidian geometry, parallel lines remain the same distance apart. One can imagine a geometry in which parallel lines eventually intersect, and a geometry in which parallel lines gradually separate further and further. Such spaces are usually described as "curved''— an example is the 2-dimensional surface of a sphere, on which lines initially parallel at the equator of the sphere intersect at the poles of the sphere.
Mathematicians had no idea that their work would ever prove useful to physicists, but some of it did have application in the real world. For hundreds of years physicists had worked in a 4-dimensional framework, because it takes a minimum of 4 numbers to specify an event: 3 to specify its space location and 1 to specify when it happened. In 1905 Einstein found that, to be correct, laws of physics must be written in a 4-dimensional form that physicists call "Lorentz Invariant,'' or "Manifestly Covariant.'' The reason is that different observers will disagree as to how much of an event "projects'' onto the space axes and how much "projects'' onto the time axis. That is, different observers can disagree as to how long a process takes, or on the size of the physical space that the process occupies. Only the full four-dimensional aspects of the process remain the same for all observers.
In 1915, Einstein found a more general description of gravitational phenomena, in which the density of matter directly determines the "curvature'' of 4-dimensional space-time. That is, his theory of gravity was purely geometrical. The amount of matter determines the type of geometry that exists in the surrounding space. Other matter travels along the straightest possible trajectory in this curved space-time...
The structure of all known physical laws demands that our universe have only 3 extended space dimensions. For example, the fact— established and confirmed by experiment consistently for nearly 400 years— that all long-range interactions, such as gravity and the radiation field of the electromagnetic force, fall off like the inverse square of the distance, demands that space be precisely 3 dimensional.
So those extra dimensions in string or M theory are useless for human scale objects, but might apply to things on the Planck scale.
More confusion about higher dimensions was generated in the press beginning in 1984, when physicists became excited about so-called "string theory.'' Physicists have never been able to work out a theory of gravitation that is consistent with quantum mechanics and also has some feature that indicates it might be uniquely correct! String theory provided a geometrical description of quantum processes that incorporated gravity very naturally. But three other forces besides gravity are known. Borrowing the idea of Kaluza and Klein, physicists incorporated the other three forces and their "couplings" by adding space dimensions— the only thing you can do in a theory that is purely geometric. A typical string theory had 9 or 10 space dimensions and 1 time dimension. The extra space dimensions had to be there to incorporate phenomena other than gravity geometrically, but they could not "actually'' be there or the theory would not have worked. The solution was to curl these extra dimensions up mathematically into tight "wads'' no more than 10^-35 meters in length, a process called "compaction." The extra dimensions would thus be "compact," and indetectable.
So the possibility of extra dimensions is being researched in that arena also, but they would be very tiny fraction of a meter or less.
One straightforward tipoff that extra dimensions are there would be a departure of the gravitational force from the familiar inverse-square dependence on distance, for small distances. How small? Well, indeed gravity has not been very carefully studied and probed at very short but macroscopic distances, such as 10^-5 meters or less. Fairly simple but tedious experiments can be done and are being done to settle some of these questions, and we will just patiently have to await results.
That's the science, courtesy of the University of Texas.
Pseudoscientists and fiction writers have always loved "higher dimensions.'' Almost any fantasy can be motivated by appeal to the "mysterious 4th dimension,'' or the famous "15th Akasic dimension.'' But it is important to realize that such concepts are not borrowed from either science or mathematics, and have no basis whatsoever in the verified descriptions and observed phenomena of the world we actually live in.
“Theosophy postulates endless interpenetrating worlds or planes composed of different grades of energy-substance, with only our own immediate world being within our range of perception. But other planes are not extra ‘dimensions’; on the contrary, objects and entities on any plane are extended in three dimensions – no more and no less.”
In physical cosmology, cosmic inflation, cosmological inflation, or just inflation, is a theory of exponential expansion of space in the early universe. The inflationary epoch lasted from 10−36 seconds after the conjectured Big Bang singularity to some time between 10−33 and 10−32 seconds after the singularity.
Because the cosmological constant is a fixed value across the universe, it implies that dark energy will always have the same strength. Since it is the energy of space itself, then as space expands more dark energy comes into the universe, causing the expansion to accelerate ever faster.
this is accomplished by using physics of 4th dimension(before you're say "time as 4th dimension", each spatial dimensions have it's own space-time where in this case, 4th dimension consists it's own space-time instead of being just time itself) and laws of Relativity can circumvented by 4th-dimensional physics
0-3rd dimension = Point, X, Y, and Z
Fourth dimension is time, which governs the properties of all known matter at any given point. Along with the three other dimensions, knowing an objects position in time is essential to plotting its position in the universe.
fifth dimension, we would see a world slightly different from our own that would give us a means of measuring the similarity and differences between our world and other possible ones.
In the sixth dimension, we would see a plane of possible worlds, where we could compare and position all the possible universes that start with the same initial conditions as this one (i.e. the Big Bang).
In the seventh dimension, you have access to the possible worlds that start with different initial conditions.
The eighth dimension again gives us a plane of such possible universe histories, each of which begins with different initial conditions and branches out infinitely
In the ninth dimension, we can compare all the possible universe histories, starting with all the different possible laws of physics and initial conditions.
In the tenth and final dimension, we arrive at the point in which everything possible and imaginable is covered.