i have read that the female brain has more connections between the left and right hemispheres what does this mean?

supposedly it means that men have better cognitive abilities {on average}

How on earth can they say that with little to no real understanding of how the brain actually performs cognitive functions?

One interesting phenomenon detailed by the Holographic Universe was the effect of conciousness on scientific studies, and how generally accepted beliefs manifest themselves in the world. For instance, neutrinos may or may not have mass, depending on the beliefs of the physicist involved. In the US it's massless, in Russia not. The books suggest that it's not an experimental error, but the physicist is actually changing the way that the particles behave. Very bizarre, and kind of makes a mockery of science. Hence the refusal by the Orthodox scientific community to accept the model.