Researching the Planck Regime Without Standard Physical Primitives: The EAS Scalar-Field Method

This paper is archived as a speculative research work. Entanglement–Algebraic Spacetime provides a method for investigating Planck-regime structure without taking the standard physical objects ultimately used to represent its consequences as primitive ontology. In the Scalar Fields, questions are first posed using a sparse relational ontology, SF consequences are established within that ontology, and conventional mathematical or physical structures are introduced only afterward as interfaces or comparison targets. This paper illustrates that methodology through five case studies drawn from the EAS theorem program: primitive recurrence composition supporting the electron spin- 12 interface; an independent handed-support structure supporting electric-charge classification; a topology-generated charged-lepton-facing hierarchy obtained without empirical mass input; a scale-agnostic relational gravity construction admitting an exact Schwarzschild-sector interface after explicit calibration; and a secondary gravity-like accommodation arising from recurrence-density anisotropy. Together these examples show that EAS can be used not only to represent familiar physical structure from a smaller primitive basis, but also to generate quantitative hierarchies and new theoretical consequences. The claim is methodological rather than complete: the examples establish demonstrated capabilities of the framework within their stated theorem and interface ceilings, not a derivation of all known physics from the Scalar Fields.