Beyond Spacetime: Symbolic Collapse as the Unified Origin of Geometry, Gravity, and Strings - FOURTH RESEARCH PAPER OF SFT SERIES (SFT-4)

In this fourth installment of my Symbolic Field Theory (SFT) series, I address the remaining gaps in the unification of General Relativity and String Theory from the perspective of symbolic collapse dynamics. I construct a unified symbolic action SUnified[Ψ, Ξ, τ, κ] that rigorously recovers the Einstein Field Equations in the contradiction-suppressed limit and the Nambu–Goto string action in the activated collapse regime. I develop the formal symbolic manifold geometry MΞ, define the symbolic curvature tensor κμν from recursive contradiction gradients, and introduce symbolic connections, geodesics, and conservation identities. I then construct a symbolic conformal field theory (SCFT) on the worldsheet of collapse filaments and define a recursion-based duality group acting on the symbolic moduli space. The collapse dualities T, S, and mirror symmetry are shown to arise from transformations in τ, Ψ, and Ξ respectively. This work completes the symbolic unification of gravitation and string dynamics without reference to a pre-defined spacetime or energy-momentum tensor, establishing symbolic recursion and contradiction resolution as ontologically prior to geometry.