Reconstruction of Schrödinger's Cat in Many Worlds 5; The Structural Foundation of the Many-Worlds Interpretation

This paper systematically elaborates on the structural interpretations of six
emerging mathematical physics frameworks for Everett’s many-worlds interpreta
tion, including the branching structure of dynamic time algebra, the logical paral
lelism of the post-Markovian paradigm, the historical bifurcation of temporal layer
causal evolution, the representation splitting of the time group framework, the sec
tion bundling of chronological fiber categories, and the stability selection in the
origin of order theory. These theories, from different perspectives, demonstrate
the global unitarity of quantum state evolution, reinterpreting ”world splitting”
as representation branching, logical parallelism, or fiber bundling on mathemati
cal structures, thereby providing a mathematical foundation for the many-worlds
interpretation independent of philosophical assumptions. By comparing the core
mechanisms, mathematical structures, and physical predictions of each theory, this
paper proposes a unified view: the many-worlds is not ”splitting” but a natural
result of structural degeneration, and all branches are mathematically equal and
co-existent. At the same time, this paper discusses feasible paths for experimental
verification and introduces the category of potential worlds to unify the six theories,
clarifying how the condition of observer self-consistency leads to the Born rule.