Dynamical Stability and Information-Theoretic Constraints of the Graviton Condensate Inflationary Phase

Abstract: Standard models of cosmic inflation rely on a postulated inflaton scalar field and its potential to drive the early universe's expansion. We present an alternative framework where inflation is realized as a metastable graviton condensate sustained by a self-regulating feedback mechanism. In this model, the quasi-de Sitter geometry is maintained by a balance between quantum depletion and a backreaction pressure from an information "memory burden" stored in the condensate's Bogoliubov modes. Through a combination of linear stability analysis and numerical integration, we demonstrate that this feedback loop creates a robust dynamical attractor. We show that fluctuations of the condensate naturally source the primordial curvature perturbations, correctly predicting a nearly scale-invariant, Gaussian, and red-tilted spectrum consistent with cosmological observations. A key finding is an information-theoretic constraint, , that links the inflationary duration () to the number of particle species () and the Hubble scale (). Our simulations map the viable "stability corridor" in the parameter space where sufficient inflation occurs before the condensate's information capacity is saturated, leading to a natural exit via quantum breaking. Furthermore, a sensitivity analysis reveals that the inflationary energy scale can be dynamically selected by the particle content; for a linear scaling of the memory burden, the observed scale is uniquely determined by a particle count of , a value motivated by Grand Unified Theories. This work establishes a self-consistent alternative to standard inflation, replacing the inflaton potential with the information dynamics of a graviton condensate.

Subjects:	gr-qc; hep-th
Cite as:	PX:2604.00041