We present a speculative theoretical framework that attempts to connect three distinct structures in contemporary theoretical physics: Penrose's Conformal Cyclic Cosmology (CCC), the de Sitter/CFT correspondence (DS/CFT), and the fuzzball description of black hole microstates in string theory. The central conjecture is that the asymptotic conformal boundaries of eachcosmological aeon — identified in CCC as the interface between successive aeons — may bereinterpreted as fuzzball boundary states within an eleven-dimensional M-theoretic substrate, with the intervening de Sitter geometry playing the role of a transient geometric bridge. TheEinstein-Rosen/Einstein-Podolsky-Rosen (ER=EPR) conjecture is proposed as the structureinvariant under conformal transitions, providing a mechanism for information preservation acrossaeon boundaries. We further conjecture that the apparent separation between past and futurefuzzball states is an artifact of dimensional projection from eleven to four dimensions, and that inflation may be interpretable as the geometric response to the quantum entanglement initialisation complexity of the nascent de Sitter bridge. Each component of this framework is explicitly classified by its epistemic status. No claim of mathematical derivation is made; this work is a speculative research programme identifying open questions and potential falsification directions.