Question

Is it possible that space has density, i.e., can a given space of 1 cm have multiple 1 cm compressed into its 1 cm self?

TO GIVE AN INSIGHT INTO THIS QUESTION LET ME EXPLAIN WHAT I REALLY MEAN.

So we all know the displacement route between 2 points in 2-D space is the straight line between the 2 points. Now in case of its 3-D self, the line joining the 2 points isn't the shortest route between them. So there is another line which seems to be longer in the 3-D self but actually is the displacement in the 3-D world between the 2 points, known as a geodesic. So now as we keep on adding dimensions to this hypothetical world (containing the 2 points) we keep on getting a new path which is actually shorter than its earlier dimension! So, is it possible that the path between the same 2 points get shorter and shorter but the space between them actually remains the same as we keep increasing dimension? Thus evolving the concept of "Density of Space" 

Answer 1

To find the accurate answer to this question, requires a high and deep study. I am giving you some data that can be helpful to you to obatin the conclusion.

It is often a misconception that space is empty. Space is nearly a perfect vacuum, even better than the best ones made in labs on earth, but it is not devoid of everything. The space is filled with tiny particles called cosmic dust and particles of helium and hydrogen. Now I am proving some important results that may be helpful to you.

"It averages roughly one atom per cubic centimeter, but density as great as 1000/cubic centimeters and as small as 0.1 atom/cubic centimeters have been found."

"On average, the density of matter in space between the stars of milky way is 0.1 neutral Hydrogen atome per cubic centimeters."

"On the average this haze contains about one atom per cubic centimeters"

"The density of gas cloud is incredibly small by terrestial standards----the clouds contains roughly one hydrogen atom per cubic centimeters"

"If you went out to space in spiral arm of the galaxy, you will find one to two atoms of the gas per cubic inch"

I hope this information would become helpful to you to draw a conclusion in context to your question.

Thank you.