The Topology of Truth: Structural Asymmetries in the Spread of Fact and Falsehood

Abstract Despite substantial efforts to combat online misinformation, corrections often fail to reach affected audiences. Here we propose that this persistence stems from a fundamental topological asymmetry in how truth and falsehood spread. Analyzing 2.1 million diffusion cascades from the 2016 US election, we identify two distinct regimes of network fracture. Misinformation exhibits 'Viral Fracture' ($\sigma^2=560$), defined by intermediate modularity ($Q \approx 0.40$) and high local clustering ($C=0.37$). Its cascade distribution follows a Log-Normal law ($R=-0.098$,$p=0.016$ ), confirming multiplicative community amplification. This topology corresponds to the theoretical 'Peak Fracture' zone, where semi-permeable communities act as bridges that maximize systemic volatility. In contrast, fact-checking exhibits 'Broadcast Fracture' ($\sigma^2=659$), defined by hyper-segregation ($Q \approx 0.68$) and low clustering ($C=0.14$). Truth is effectively siloed in high-modularity clusters, unable to cross the structural fissures of the network. Simulations confirm that this asymmetry confers a survival advantage: the mesh topology of misinformation acts as an incubation chamber, making it $2.3\times$ more likely to reach viral scale than the fragile star topology of fact-checking. We conclude that the failure of debunking is structural: truth attempts to penetrate a resilient, bridging mesh using a brittle, segregated signal. Epistemic resilience requires 'viral truth' - interventions that artificially lower the modularity of factual networks to bridge the topological gap.