Grzegorz Dziewisz
Stochastic time delays from uncertainty relations in Doubly Special Relativity
In the twentieth century, two foundational pillars of modern physics—quantum mechanics and the theory of relativity—were developed to describe nature at vastly different scales. Despite their individual successes, these theories remain fundamentally incompatible. One approach to unifying them is Deformed Special Relativity (DSR), which extends special relativity by introducing a second invariant scale, typically associated with the Planck energy. This deformation alters the structure of the Poincaré algebra and leads to a non-commutative geometry of spacetime. In this framework, the quantum nature of spacetime itself gives rise to modified uncertainty relations, reflecting the interplay between relativistic deformations and quantum fluctuations. My poster will focus on the origin and implications of these uncertainty relations, particularly how they emerge from non-commutative phase space and how stochastic noise—inherent to quantum processes in such a framework—may offer experimentally testable signatures. These insights contribute to ongoing efforts to probe the quantum structure of spacetime and test predictions of quantum gravity phenomenology.
