The foundational status of complex numbers in quantum mechanics has beenexperimentally established, yet their algebraic closure has long been regarded asthe natural endpoint of the mathematical structure of physical theories. This paper proposes “fieldoid” as a meta-concept beyond the complex framework, used tocollectively refer to those algebraic structures that inevitably emerge in physicalcontexts such as quantum gravity, high-dimensional entanglement, and deep selfreference. A fieldoid is not a single number field, but a dynamic spectrum of algebraic structures defined by the constraints of the generative process—associativity,divisibility, dimension, depth of self-reference, etc.—including non-associative algebras, C∗-algebras, and higher categories. This paper argues that the two fundamental principles of information conservation and computability do not presuppose anyspecific number field; instead, through the quantization of information potentialdifference, they drive the system to automatically select the corresponding algebraic structure at different levels of complexity. Fieldoids serve as “meta-labels atthe syntactic layer”, bridging the gap from discrete information processes to continuous geometric descriptions within the framework of generative evolution, andreposition complex numbers from the “ultimate algebraic foundation” to a stablecross-section within the spectrum of fieldoids. This framework provides a unifiedmeta-theoretical perspective for understanding the deep algebraic nature of physicalreality.