Since my response to the first two comments cannot fit in the comments section, I am adding them as a separate post.
A few clarifications here. First, I do not believe in the concept of intelligent design. This means some external God creating the universe, which, as I submitted, does not make any sense. Instead, the God I am talking about is the "consciousness" that permeates everything in the universe. This energy is called differently by different people. I don't know if the scientists have a name for it, but I do know the Buddhists call it Reiki. It is this consciousness that "runs" the entire universe, intrinsically, as part of it. I believe this is what Nikhil talks about in his post. Same idea, different words.
Secondly, I am not trying to prove the philosophies of Hinduism by scientific techniques. That is just not possible, because science develops theories by only looking at the material universe, whereas to understand Hindu philosophy, you have to transcend the material universe to the deeper consciousness thats present everywhere. The reason for mentioning the implications of quantum mechanics was to show that the Hindu philosophy of oneness is not as outlandish as it would have sounded otherwise. The idea is not easy to understand in the first place; I just did not want it to appear as if it is some religious dogma.
I understand that the theories of science are just "best-fit" models to explain observable data, and can be superceded by better theories. But I never was using that as a "proof" of any Hindu concept, just as a tool to buttress the mind for the philosphies. The ideas I present here are purely from a Hindu perspective, and NOT from a scientific perspective. It has a two-fold purpose - to educate others about Hindu philosophy, and to help me understand them better. I do realise there may be some errors in my posts, and I'd be grateful if they are corrected, or if some comments further my understanding.
The idea of a higher dimensional universe is just a reference to the complexity of the universe. The key point is that the universe appears different to us simply because we see a very degenerate form of it. What the pure form is, is something that cannot be realised by just looking at the material universe; meditation alone will get you there.
People commit the mistake of assuming that science and religion are contradictory. They are not. An example is the theory of evolution. Hinduism also supports this theory. Dashavataram of Vishnu is a symbolism that alludes to this. But this does not mean that science and religion talk about the same things. Science talks about the material universe, and religion transcends that and talks about what goes beyond that. Eventually, both will meet. But we are a long way from that, and for now, they are both complimentary.
To really appreciate the philosophies of Hinduism, you need to consider its correct name - Sanatana Dharma. Sanatana means eternal, and Dharma means the higher truth. Sanatana Dharma means the laws of the universe that have always existed. Thus, it is not a religion created by human minds, but rather a religion of the essential truths that have been "realised" by sages. You are, of course, welcome to either agree or disagree with it.
What is, however, true is that an increasing number of scientists are beginning to appreciate the eastern philophies, and are willing to consider the possibility that they might be true. A few of them (not a significant number, though) look at eastern philosophies and try to use that as a "best-fit" to observable data. It can be viewed as an early attempt to link science and spirituality. Science must, however, follow its own path to arrive at the truth, and eastern philosophies can only really serve as a directional beacon in that quest.