This article seeks to open a dialogue between physics, other natural sciences, and the human sciences. Part 1 questions time reversibility as a fundament of physics. This runs counter to the discourses of all other sciences, which do presume the irreversibility of time and the evolution of phenomena. Characteristics of evolution (time irreversibility, chance, evolvement of higher levels of organization) are explained according to the laws of thermodynamics. Evolutionary thermodynamics (ET) is launched as a new connecting concept. Part 2 explores interpretation of the human sciences in analogy with ET. Dialectical interaction between levels of organizational complexity is seen as a driving force in the evolution of nature, humans, and societies. The theory of social quality and the social quality approach (SQA) imply ontological (and epistemological) features with close affinity to elements of ET. Therefore, the SQA carries potentialities to stimulate border-crossing dialogue between the sciences.