What are your qualifications for asserting that the gap cannot be bridged? Considering the supposed 'gaps' that have been bridged over the centuries, I am very optimistic that others will be bridged in the future too.
I'm not all that sure about this gap in any case. The physicist Max Tegmark has a well-known saying that subjective experience may be what information being processed, feels like. What's wrong with that?
As yet, we can't prove this directly, but there is so much indirect evidence, e.g. from brain damage. People with dementia seem to suffer not only behaviourial problems, e.g. getting lost, but also mental disruption. Not just losing memory, but being unable to process stuff and think normally.
There is also research now using in vivo neuroimaging, which seems to point towards the linkage of brain events and subjective experiences.
It seems that the immaterialists are defending a shrinking gap!