That's how I understand it.

into an infinite number of alternate selves

http://www.selfpsychologypsychoanalysis.org/mollon.shtml - CachedSimilar
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He said "I continually look to assure myself that you do not care about me". ... From a substrate of the fragmented self, the urge to form an organisation is .... of the bipolar self (without proposing an alternative structure) are avoiding one of his ...
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I'm also specifically afraid that I'll cause myself to pass out into the dream state if ..... In other words, yes, we are fragments of alternate selves when perceived as ...
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22 Feb 2010 – The unconscious core of self gives rise to the self-complex, from which an ... which is the unity and continuity of one's view of oneself over time. ..... Dissociation and fragmentation of the self or ego is a frequent ... as an alternative to fusion in hypnotherapy of dissociative identity disorder [Germine, 2004]. ...

A mind cannot be 'fragmented into' X.E.g. data can be fragmented into X. However, the mind is 'fragmented' (without the preposition 'into'; also: a fragmented mind).

Does 'fragment oneself' even exist in English?

'...one begins to split into/break down into a myriad of components...'

or

'one's mind begins to split into/break down into/become fragmented into a myriad of components.'

My five cents.