The "dimensions" of science are mathematical abstractions.
"Dimensions" - or planes, worlds of experience - have been described by contemplatives the world over, for thousands of years.
Science at present has no method of determining the truth or falsity of the dimensions explored by yogis, contemplatives, mystics, etc.
Science as presently understood cannot, therefore, be used to support OR deny such things.
A new form of science is being born, led by some of the greatest scientists of the day, such as andre Linde, anton Zellinger, Christof Koch, and many more. Assuming we can support spirituality with the current quantitative forms of science will only delay the emergence of this new more integrative understanding of ourselves and the world.