Emergence of Quantum Gravity from Planck-Scale Spacetime Discretisation: How General Relativity and Quantum Mechanics Arise from the Same Underlying Structure

The incompatibility between general relativity and quantum mechanics is widely regarded as the central unsolved problem in theoretical physics. We argue this incompatibility is an artefact of applying the wrong mathematical substrate. When spacetime is treated as a discrete Planck-cell causal network from the outset, both GR and QM emerge as different macroscopic limits. The three standard incompatibilities dissolve naturally. A physical UV cutoff at the Planck length makes QFT automatically finite. Most distinctively, Pixel Theory predicts tensor-to-scalar ratio r → 0 — diametrically opposite to inflationary predictions — directly testable by LiteBIRD (~2028). This paper also includes exploratory sections on wormholes, warp drives (including a Star Trek connection), consciousness as a rendering load, and connections to Positive Geometries. This is Paper 4 in the Pixel Theory series. Companion papers: Paper 1: https://doi.org/10.5281/zenodo.20491684 Paper 2: https://doi.org/10.5281/zenodo.20529501 Paper 3: https://doi.org/10.5281/zenodo.20530178 Paper 5: https://doi.org/10.5281/zenodo.20531541 Paper 6: https://doi.org/10.5281/zenodo.20585009 Paper 7: https://doi.org/10.5281/zenodo.20540035