Scientists, thus far can agree that there are 10 dimensions and they can see the logical progression from one to the next. See video and turn off the annotations, they just get in the way.
Why can't we imagine that? A question that scientists, neurologists and philosophers have been killing their minds over for decades. I think I may have inadvertently stumbled across a potential solution.
There is an effect known as 'The Curse of Dimensionality' described by mathematician Richard Bellman. By which if you increase the number of dimensions yet keep the size of its occupant the same then that occupant occupies a lesser space. Perfectly logical. However the difference is huge across each gap.
This collosal difference means that in three dimensions a cube with side length 1 a smaller cube with side length 0.5 only occupies an 8th of the space. Whereas in two dimensions it took up a 4th or a quarter of the space.
Add another dimension and it takes up a 16th, another a 32nd, another a 64th. Now at 6 dimensions something that originally in 1 dimension occupied half the space now occupies a 64th of it.
That may seem irrelevant to being able to visualise dimensions. However, the human brain is hardwired to do certain things. It has been proven that certain parts of the brain have remained unchanged for as long as we have records. Whereas many parts have evolved to deal with today's lifestyle.
Somethings are just hardwired in, some of these hardwired settings have been described as a protection complex. Vaguely these protection complexes are designed to stop a person losing a sense of reality or unity with their own body - or so it is suggested.
These two phenomena can come across one another, and the curse of dimensionality can be a true curse, something that our brain blocks as something that challenges our ideas of reality.
As people we know how small we are in our house, country or continent but we rarely think of our size in relation to the planet, or the solar system, let alone the light years of space that surround us.
I believe that these dimensions are real, and that we can never really appreciate them. We can never see or even imagine them due to our protection complexes. If you can't appreciate or understand or comprehend them then how do you go about studying and proving them?