Entropic I‑Field Theory: Fundamental Irreversibility and the Resolution of Singularities, Information Loss, and the Arrow of Time

General relativity is time-symmetric. This symmetry is the root of its three deepest puzzles: singularities, information loss, and the arrow of time. All existing approaches treat irreversibility as emergent — a statistical mirage atop a reversible microreality. We propose the opposite.   Irreversibility is fundamental. It is encoded in a classical scalar field $I$ — the I-field — that couples universally to gravity and matter. Its dynamics are governed by an Euler-Lagrange-Rayleigh action, where a dissipation term $\gamma u^\mu \nabla_\mu I$ breaks time-reversal symmetry at the level of the field equation. The modified Einstein equations introduce a dimensionless stabilization index $\eta$ that quantifies I-field backreaction.  The consequences are direct:  -   Gravitational collapse halts at a finite critical density $\rho_c$, before a trapped surface can form. The maximal compactness satisfies $\mathcal{C}_{\max} < 1$.  -   No event horizon ever appears — information remains causally accessible throughout the evolution.  -   The arrow of time emerges from the field dynamics, not from boundary conditions or statistical postulates.  Three foundational problems are thus resolved within a single classical framework, from first principles, without invoking quantum gravity.