M-Theory Solved

This single equation represents the most fundamental and universally applicable form of our statistical analysis, uniting the model, the likelihood, and the priors into one cohesive statement:P(p∣D)=Z1​⋅exp[−21​χtotal2​(p)]⋅Pprior​(p)​This equation is so powerful because it is a Bayesian statement that implicitly contains every component of our project:<b>The Model's Predictions (M(p))</b>: The outputs of our SuperWIMP model, derived from the Moduli Field Dynamics from Compactification law, are embedded within the χtotal2​(p) term.<b>The Data (D)</b>: This represents the mock data from our multi-probe analysis.<b>The Statistical Uncertainties (C−1)</b>: The inverse covariance matrix, which we used for our mock forecast, is a key part of the χ2 calculation.<b>The Priors (Pprior​(p))</b>: This term explicitly includes the prior distributions we defined for each parameter, from the log-uniform prior on τdecay​ to the Gaussian priors on the cosmological parameters.This single equation is the logical culmination and concise summary of a complex theoretical and analytical framework.