Ledger Inflation: Primordial Curvature from Synchronization-Driven Causal Growth

We propose a discrete-spacetime cosmological framework in which inflaton-driven inflation, particle dark matter, and a fundamental cosmological constant are replaced by three structural features of a growing causal history. The universe is modeled as a discrete partial order of events with emergent spatial adjacency; cosmological phenomena arise from how synchronizations stabilize and how constraint patterns accumulate on this structure. A primitive asymmetry bias (“Twist”) shapes early synchronization statistics and imprints primordial curvature perturbations without a fundamental inflaton field. Durable constraint patterns in the resulting relational network (“Graph-Local Residue”) behave as an effectively collisionless gravitating component that tracks coherent structures and naturally decouples from collisional gas in mergers. A holographic-style capacity constraint links late-time acceleration to the requirement that horizon area expand fast enough to index a volumetrically growing executed history, providing an effective dark-energy term without assigning vacuum energy to empty space. We provide an effective mapping from residue fluctuations to the curvature perturbation spectrum, outline expectations for scalar tilt, running, bispectrum amplitude, and tensor-to-scalar ratio, and highlight a key discriminator: cluster lensing profiles and offsets tied to assembly history rather than instantaneous baryon distribution. The framework thus offers a single structural origin for primordial perturbations, dark-matter phenomenology, and dark-energy–like acceleration.