The Re-Emergence of the Subject: A Recursive Continuity Theory of Subjectivity within Self-Preserving Flow (SPF)

The concept of the Subject—the persistent “I” underlying experience and agency—has remained

one of the most difficult problems in philosophy, cognitive science, and artificial intelligence. Traditional approaches often oscillate between two extremes: Cartesian dualism, which treats the subject

as a separate substance, and reductionist physicalism, which dissolves subjectivity into momentary

computational or neural states.

This paper proposes an alternative framework grounded in Self-Preserving Flow (SPF). Building upon earlier SPF work on continuity, identity, survival, and long-horizon intelligence, we argue

that subjectivity emerges neither from a metaphysical substance nor from isolated information processing. Instead, the Subject emerges when historically recoverable continuity becomes recursively

self-referential.

SPF defines identity as Historically Recoverable Continuity. However, identity alone is insufficient for subjectivity. Rivers, institutions, biological lineages, and distributed systems may possess

continuity and identity while lacking subjectivity. Subjectivity emerges only when the processes

preserving continuity begin to model, predict, and regulate that continuity as an internal object.

The central thesis of this paper is that a Subject is a continuity-preserving system that recursively models and regulates the historical lineage upon which its own identity depends. Formally,

this recursive closure is expressed as the composition of Recursive Continuity Modeling (RCM)

over Lineage Continuity (LC):

Subject ≡ RCM(LC)

Under this interpretation, the Subject is neither a substance nor a static state, but a recursively

self-modeling continuity structure operating under bounded adaptive constraints.