Emergent Spacetime and Dark Sector from a Non-Linear Scalar Field (IFMZ Framework)

In this work I present a new cosmological framework in which spacetime, matter, and causality are not fundamental entities, but rather emergent phenomena arising from the dynamics of an effective scalar field 𝑍 that encodes the organization of correlations in the underlying system. The model is constructed around an equilibrium point 𝑍 = 0.5 , which defines a regime of maximum coherence, while deviations 𝜙 = 𝑍 −0.5 generate observable physical structure. The dynamics are formulated using a nonlinear action dependent on the kinetic invariant 𝑋 = 𝛻𝜇𝑍𝛻𝜇𝑍 along with the introduction of a logarithmic term of the form (𝜁𝑅(2𝑙𝑛)𝑅),  which acts as a dynamic “brake”: a cost associated with deviations from equilibrium. This term regulates the growth of invariants in extreme regimes, preventing divergences and replacing singularities with a regime of controlled saturation. In this framework, gravity emerges not as a fundamental interaction, but as an effective geometric tension induced by the redistribution of correlations. The quantum–classical transition arises as an intrinsic process of decoherence, without the need for an external observer, while cosmological expansion is interpreted as the global evolution of the field’s correlation state. In a unified manner, the model describes gravitational dynamics, structure formation, and cosmological acceleration, and suggests a resolution to the information loss paradox in black holes. Taken together, the theory proposes that geometry, time, and physical dynamics emerge from a single underlying structure, providing a new path toward the unification of general relativity and quantum mechanics.