eastern indo eurpeans

They did went to East historically : a good chunk of Central Asia was inhabited bye PIE or PIEzed populations such as Tocharians but as well some southern Siberian presence as far as modern Mongolia, such as with Tagar Culture which is potentially tied with Iron Age Scythians. It's been theorized that some (really limited and hypothetically) features appearing in China may have some roots into a IE presence amisdt Proto-Turko-Mongol and Altaic peoples.
So, this is pretty much IOTL, but I think the real question would be why didn't PIE blossomed in Asia and why didn't IE peoples expanded from the Chalcolitic situation into Bronze Age Asia as it happen in Europe.

Why?
First, we're not really speaking of an invasion, such as a planned and necessarily militarized expansion in all Europe. The initial suspected migrations took place during Neolithic/Chalcolitic period for reaons yet to clearly determinated but probably tied to climatic change (which generally put a stress alike on farmers and pastors but with the latter being more able to migrate with their cattle), they went pretty straighforward about this (in a period where Proto-Anatolian peoples doesn't seem to have yet mastered horse domestication IIRC) and went in a slow road southwards. With deterioration of climate, migrating groups still continued to go relatively slowly forward in Europe outside the Pontic Steppe getting more differenciated with time and less "typically" IE as they adapted to their new conditions
You did have PIE peoples going eastwards, but the main idea is that the Pontic Steppe was less homely than it used to be, and as such the general trend was that it made more sense for most of people to go South or West.

Still, pre-Tocharian peoples, and eventually another branch of IE peoples with Iranic Sycthians, were largely present in South Siberia and Central Asia at some point, so it's not enough of an explanation to point to the slow movement that favoured a western/southern direction (IRRC, it's not even really a given that in PIE notions, both cardinal directions weren't associated).

Well, you had other peoples, that were relatively close to PIE own way of life : namely Proto-Turko-Mongols. When they met, it seems that at least part of both groups intermixed relatively easily possibly becaue of their similarities, which might have (ironically) cushioned IE presence (which if dominant, couldn't count on being "reinforced" by other IE peoples migrations giving the distance).
And when migration time kicked in (generally for similar reasons, altough social unstability in now constituedstates did played a role at this point), well rivality might have been an issue, and maybe as importantly, the neighborhood wasn't what it used to be. China was there to stay.
A bit like Egypt in Africa, China wa sable to boradly withstand raiding and campaigng bands (such as "Sea Peoples") or failing to do this, integrate them (Hyksos or Libyans). So it was either acculturation, either being stuck where they were, or simply going elsewhere (Yuezhi in Central Asia, Scythians in Europe).

The migrations out of Siberia might have played a role into the last development (especially giving we're talking of fairly small populations), the Mongolicisation and Turkification of Siberia in a first time, then the same in Central Asia.

So, there's a lot of reasons why PIE peoples didn't really had a go at Far East. But it doesn't mean it had to happen exactly like this. Obviously, the climatic causes of PIE and IE migrations in Central Asia and Siberia are hard to get rid of, so the most "workable" change we have is China, and namely preventing the rise of a Chinese imperial state : it's not going to be easy but for the sake of the discussion, let's assume it's done. What do we got.
Well...fairly small IE peoples (at this point, we can't talk of PIE, really) in rivality with Proto-Mongols and a sphisticated enough Sino-Tibetan ground population. And contrary to what happened in India, the prosperous part of the land wasn't right next to the entry of the region, which was fairly small.

We might see in a wild TL a Tocharisation and/or Aryanisation of Southern Siberia (as Proto-Mongols and Proto-Tungisic peoples might have been more interested in Korea and a good part of China ITTL), a surviving Tocharian (possibly Aryanised IMO) Tarim Basin, and a possible IE presence in Qingai, Sichuan and chinese plateaux overall. How much is anyone's guess, but I wouldn't expect India 2 there, probably something more mixed linguistically.

Now this is a complex topic, and might have mixed things there, so anyone can feel free correcting me on this.
 

Albert.Nik

Banned
China had Centum speaking Tocharians similar to Celts and Slavic like Iranian peoples but they were conquered and assimilated into other groups before they could rise and make a mark. Korea is very difficult as if is very far from the Danube valley where they originated. Now Indo-Europeans were mostly nomadic. If by chance they interact with Hurrian and Urartian neighbors in the Caucasus nearby the region where they were spread first who were settled like other Middle Eastern civilizations and the Iranian peoples(containing ancestors of Indians,Iranians,Kurds,Ossetians,etc) and the Tocharians learn those things from them like how Romans learnt from Etruscans,Basque,etc and Greeks learnt from the inhabitants in Balkans and Asia Minor,they could build settled cities and civilizations. Hurro-Urartians,Isuarians,Basque like peoples,Caucasian peoples would all join and assist in a civilization that could be widespread in the steppe river basins,Siberia,etc,they could easily spread to Korea,Japan and China too. Mongols,Turkic,Han all would survive but would be related more to the IE and HU peoples looking like today's Finns,Hungarians,Caucasians,Armenians or Bulgarians. Expansion of such a civilization into India is also very easy.
 
We might see in a wild TL a Tocharisation and/or Aryanisation of Southern Siberia (as Proto-Mongols and Proto-Tungisic peoples might have been more interested in Korea and a good part of China ITTL), a surviving Tocharian (possibly Aryanised IMO) Tarim Basin, and a possible IE presence in Qingai, Sichuan and chinese plateaux overall. How much is anyone's guess, but I wouldn't expect India 2 there, probably something more mixed linguistically.

Spreading into the Sichuan/Qinghai/Yunnan region might be huge, since perhaps there's some remote chance that they could come to lead a local state which leads to the language of whatever IE group this is having a certain prestige and from there migrate south to Burma and do what the Pagan Empire did culturally, spreading their language as a prestige language all over the region and like later Bamar states, overwhelm the other states in the Irrawaddy valley. Basically inserting an Indo-European group in the role of the Bamars. IIRC the Pyu before the Bamars also came from the plateau areas to the north, so there's a period of a few thousand years where this might be possible.
 
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