The title says it all. I know Talos also caused a rewriting of the past when he achieved CHIM, making it so that three souls had always been one. How then are we as historians supposed to be able to say what really happened in the past?
All versions are true. Vivec the mortal killed Nerevar at Red Mountain and usurped the power of the Heart. Vehk the God defended his friend Nerevar at Red Mountain, mourned his loss at the hands of Dumac, and formed the Tribunal to carry on the Hortator's will. Both are true, and due to Vehk's immense power, both are able to be true. Much like the Dragon Break known as the Warp in the West, just because multiple versions of history are contradictory does not mean that they're mutually exclusive.
I wrote a bit on a related topic in this older thread. It's a tricky methodological point.
On the one hand, as historians, when it comes to the ultimate say on what happened in the past, we have to rely on the available evidence; and there's no way of distinguishing between inconsistent evidence that results from the hypothetical effects of CHIM, and inconsistent evidence that results from more mundane causes. On the other hand, we have to tread lightly: if we go too materialist with our treatment of the existing evidence, we run the risk of giving offence to the religiously inclined. That's particularly hazardous in the present political climate, when the make-up of the canon of the Divines is such a tense topic.
It's very hard to set good criteria for what kind of archaeological evidence could demonstrate an actual historical use of CHIM. In my recent research I've been wondering if it might be possible to obtain a clue via Dwemer theories of tonal regression, which according to some sources can have temporal symmetry, and therefore might potentially tell us something about non-linear temporal effects. Much of the evidence was destroyed in the eruption of Red Mountain, unfortunately.
However, I have high hopes of something turning up in excavations at Markarth, which is one of the most westerly of the cities in the northern Dwemer civilisation (not including Hammerfell, that is; Dwemer archaeology in Hammerfell, including Stros M'Kai and Bangkorai, is a different story altogether). The archaeology of Markarth is exceptionally complex, to the point where Thelwe Ghelein's geocline theory simply doesn't apply. Yes, we have Nchuand-Zel, a deep settlement structured around one of Ghelein's "Deep Venues"; but there's an extremely complex layering of surrounding underground spaces and surface structures, including a large entrance facility ("Understone Keep", though that name appears to be a bastardisation of Nchuand-Zel) containing the only known surface animoculotory, and an enormous collection of arcanexes which date to a range of later periods. This city underwent constant expansion and modification: it's pretty clear that the core of Nchuand-Zel dates to the First Empire (late Merethic) period, but much of the subsurface expansion and nearly all of the surface structures date to the Second Empire period. It's my suspicion that this is our best bet for finding evidence on Dwemer regression techniques now after the destruction of the workshops on Vvardenfell.
It's rather a pity that some of the excavators there, not to name any names, are complete jerks. Local scholars' interpretations of the bilingual Markarth Stone have been very mixed: they're solid on the interpretation of the Falmeris portions of the stone, but their interpretation of the Dwemeris doesn't stand up to scrutiny. Ideally it'd be best if, for example, rubbings of the stone were to be disseminated outside Markarth so that scholars in other parts of Tamriel could take a look at the inscriptions and see if we can make anything of them. Unfortunately, it's not unheard-of that scholars sometimes sit on their discoveries for decades before releasing their findings publicly. Once we can get some independent tonal researchers into Nchuand-Zel, we can get to the business of disproving (or verifying) the reality of CHIM and other non-linear phenomena.