  This paper engages the hard problem of consciousness (Chalmers, 1995) by
examining the enigmatic relationship between the neural correlates of
consciousness (NCCs) and their associated qualia. The central premise is that
the NCCs have both quantifiable (physical) aspects and, distinctively from
other physical systems, also have in certain states unquantifiable aspects
(namely, qualia). The reconciliation of these apparently disparate aspects
within a physical framework has proven elusive, hence qualia's omission from
the physicalist account of the world (Jackson, 1982). This paper proposes a
novel model in which the duality - or "mixed quantifiability" - of the NCCs can
be mathematically represented via a specific category of equations - those
featuring singularities. Consequently, this implies that qualia correspond to
singularities in the mathematical representations of certain aspects of the
NCCs, thereby offering a model for accounting for qualia within the physical
framework of natural sciences. The proposed model may have been foreshadowed by
Srinivasa Ramanujan. In addition to its theoretical implications, it could have
practical implications, including for artificial intelligence (AI) and
artificial consciousness (AC).
