East across the straights to Tiawan. Obvious choice, but they have to build a navy first, that will take decades.
Not just a navy, but a navy to match the USA's, a competent airforce to defend againsts carriers, and... well they have the numbers to actually occupy Taiwan, but getting across the strait through US Carrier fleets is another matter altogether.
North into Siberia. Russia has nukes...
A few skirmishes across the border perhaps, but no real war I'd say...
West into Iran. I think this is a possibilty. China goes for the oil.
Iran and China have quite a cosy relationship... and if the USA and Europe increase their pressure on the regime... they'll flee further into the PRC's orbit, thus making an invasion unnecessary.
Southwest into India. Can't think of a good reson to do this, but they did Tibet, soo...
I think invading Tibet was as much about keeping it out of India's influence than it was about expansionism. India has nukes as well.... that would be a costly war for the Chinese... but they could persuade the Pakistanis and maybe the Burmese to support them on the flanks.
South into Southeast Asia, but they've been there and done that and Vietnam is a tough nut to crack.
ASEAN and China are falling closer together anyway, economically speaking that is....
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