Qari Abu Khalid al-Hindi has posted his research from the books of the classical and some contemporary in Arabic on: http://sightingmoon.blogspot.com/ It includes quotes from Maulana Anwar Shah Kashmiri, Sheikh Syed Sabiq, Sheikh Nasir ud-deen al-Albani, Fatawa al-hindiyyah (Alamgiri), Imam Shawkani, Ibn Taymiyyah, Al-Qurtubi and Al-Sarkhasi. They all affirm the view that we must begin Ramadhan and Eid according to the sighting of Muslims anywhere in the world.
"Thoughts are the greatest wealth of any nation."