Android - Google IO Galaxy Tab 10.1 refuses to power on, any hope of revival?

Final Answer (to wrap up the question) [short version]: Battery was utterly dead, when popped open and measured at the tabs, voltage was under the safe minimum. New battery ordered from eBay plugged in, tablet worked! Just had to to escape from a boot cycle of doom, root and install Cyanogenmod 9 alpha (of which there are numerous available tutorials for both of these around the web)