
This paper systematically elaborates on the structural interpretations of sixemerging mathematical physics frameworks for Everett’s many-worlds interpretation, including the branching structure of dynamic time algebra, the logical parallelism of the post-Markovian paradigm, the historical bifurcation of temporal layercausal evolution, the representation splitting of the time group framework, the section bundling of chronological fiber categories, and the stability selection in theorigin of order theory. These theories, from different perspectives, demonstratethe global unitarity of quantum state evolution, reinterpreting ”world splitting”as representation branching, logical parallelism, or fiber bundling on mathematical structures, thereby providing a mathematical foundation for the many-worldsinterpretation independent of philosophical assumptions. By comparing the coremechanisms, mathematical structures, and physical predictions of each theory, thispaper proposes a unified view: the many-worlds is not ”splitting” but a naturalresult of structural degeneration, and all branches are mathematically equal andco-existent. At the same time, this paper discusses feasible paths for experimentalverification 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.
Many-worlds interpretation; quantum branches; structural decoupling; rep resentation theory; fiber bundles; entropy extremum; potential worlds
Many-worlds interpretation; quantum branches; structural decoupling; rep resentation theory; fiber bundles; entropy extremum; potential worlds
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