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1:3 is in the plains.I am not sure where you got the 12:1 ratio. Historically, invading armies need to have 3:1 number superiority. However, in modern warfare a 1:1 ratio will also work if you can provide better support to your infantry/ armor - in terms of recon/ surveillence, radar/ satellites, artillery, missiles, air defense and air-attack. The numbers game only count when the two sides are equal in all other respects. That's when occupancy of superior terrain, fortifications, supply etc become very important.
In TOR, there will be no such "support-force equality" - either the IAF will dominate the skies and IA can use a division to counter the PLA or there will be aerial parity/ PLAAF superiority and IA will not go in.
In Arunachal, similarly, either PLAAF will dominate the skies and PLA can invade, or else there will be aerial parity/ IAF superiority and PLA will not come in.
Just because it took IA to mobilize 3 weeks does not mean the PLA will take similar time - they have much better rail and roadways all the way to the border of India - unless IAF manages to take them out and keep them damaged, PLA can mobilize much faster. Also remember, they do have a much larger aerial transport fleet (primarily developed for invasion of Taiwan), that can be deployed INSIDE their own country.
Overall, PLA and PLAAF maybe able to run through Arunachal if IA/ IAF is not well prepared, but for IA/IAF to take over TAR, it would require a series of blunders from PRC and a series of brilliant moves from India.
!:11 or 1:12 is the thumb rule for the High Altitude!
!:1 is a new one. It is not what is used in the UK or in the US is what I know.
The issue of mobilisation was well brought out in the article by sandeep.