Speedrunning and path integrals

In this article we will explore the concept of speedrunning as a representation of a simplified version of quantum mechanics within a classical simulation. This analogy can be seen as a simplified approach to understanding the broader idea that quantum mechanics may emerge from classical mechanics simulations due to the limitations of the simulation. The concept of speedrunning will be explored from the perspective inside the simulation, where the player is seen as a "force of nature" that can be interpreted through Newton's first law. Starting from this general assumption, the aim is to build a bridge between these two fields by using the mathematical representation of path integrals. The use of such an approach as an intermediate layer between machine learning techniques aimed at finding an optimal strategy and a game simulation is also analysed. This article will focus primarily on the relationship between classical and quantum physics within the simulation, leaving aside more technical issues in field theory such as invariance with respect to Lorentz transformations and virtual particles.