Natural UV Cutoff and Renormalizability in the Strmšek Projection Theory (SPT)

One of the central challenges in theoretical physics is the appearance of ultraviolet divergences in quantum field theory, which prevent the formulation of a consistent and renormalizable quantum theory of gravity. Traditional approaches, such as string theory and loop quantum gravity, attempt to resolve this issue through additional structures, yet at the cost of mathematical complexity and reduced experimental accessibility. This article introduces a fundamentally different solution offered by the Strmšek Projection Theory (SPT). By projecting higher-dimensional fields onto a compact torus $T^{2}$ with a Gaussian kernel, SPT generates a natural ultraviolet (UV) cutoff that exponentially suppresses high Fourier modes. As a result, loop integrals that diverge in conventional QFT become finite, and renormalizability emerges as an intrinsic geometric property rather than an imposed condition. The paper provides a rigorous mathematical derivation of this mechanism, situates it in relation to established approaches, and emphasizes its experimental relevance. Predictions include measurable deviations from Newtonian gravity below the sub-millimeter scale, potential anomalies in collider cross-sections, and a time-varying effective cosmological constant consistent with recent supernova data. By combining conceptual simplicity, mathematical rigor, and falsifiable predictions, SPT offers a compelling and testable path toward resolving the problem of quantum gravity. Contact: [email protected]