Doug, The higher states of consciousness are not equivalent to the higher spacial dimensions in physics. For example, the waking state or sentience is not equivalent to the fifth spacial dimension. However, some philosophers, like David Chalmers, believe that sentience is an emergent phenomenon of matter. On the other hand, there are philosophers who believe that sentience or consciousness was always present in the beginning of the universe. IOW, consciousness may have been present in the creation of matter. So, the human being is the product of the evolution of the mind and matter. This is the reason why MMY stated in his writings that most humans are asleep and need to awaken to the possibilities of the higher levels of consciousness.
As such, the higher spacial dimensions in physics may not lead to any magical properties like worm holes, or they may not exist at all in nature. Presently, scientists at the LHC in Switzerland have not found their existence. But some scientists believe that these higher spacial dimensions are necessary to understand quantum theories, like the Superstring. So, these dimensions can be a purely mathematical idea, like a negative infinity or the positive infinity. But they don't lead to enlightenment
