This editorial summarizes a four–paper series exploring functional state spaces (FSS) as a shared mathematical language for modeling physical law and cognition. The central idea is that many long–lived dynamical systems admit both a discrete, operator–based representation (FSS) and, where appropriate, a continuous, coherence–preserving representation (CFSS), with a coupling operator Γ linking invariants between them. Across the series, we examine the possibility that physical theories and cognitive processes can be described using closely analogous mathematical structures, raising the possibility that they may be different coordinate representations of a shared functional geometry. The four papers address complementary aspects of this idea:• The Necessity of Explicitly Encoding the Perspective of the Physicist [1] analyzes the geometry of theory space and argues that current first–order scientific practice is insufficiently contractive to guarantee long–term coherence without explicit modeling of the physicist’s perspective.• Empirical Foundations for Physical Functional State Spaces [2] surveys how core structures of contemporary physics already exhibit the defining features of FSS/CFSS systems.• The Functional State Space Computer as a Visual Calculator [3] describes a discovery method that uses FSS operators, large language models, and a cross–domain Lift operator to generate coherent structural hypotheses. • The Universe as a Mirror of the Mind [4] develops concrete, falsifiable proposals in gravity, relativity, and cosmology using the FSS/CFSS+Γ framework. Each paper stands alone for its target audience, but together they form an interlocking structure intended to support a coherent programme of research across physics, cognition, and methodology.