From Primitive Dimensional Calibration to the Geometry of Matter

From Primitive Dimensional Calibration to the Geometry of Matter: Intrinsic Closure and the Origins of Mass and Electric Charge This paper investigates whether mass and electric charge might emerge as distinct observable properties of a common, recurrent geometrical structure. Beginning with the established physical constants h, c, G and Coulomb's constant, the study develops a Primitive Dimensional Calibration (PDC) linking characteristic mass, length, time and electric-charge scales. These relationships are recognised as exact dimensional constructions rather than independent physical predictions. The investigation then introduces Closure Theory (CT), in which persistent matter is conjectured to arise from Completed Intrinsic Closures (CICs). A proposed FourWay HyperCirc geometry combines a hyperbolic mass-dimensional fibre, preserving an intrinsic invariant, with a complementary circular length-dimensional fibre supporting recurrence, winding and global completion. Four validation investigations examine: The proton–electron mass ratio, using Bessel-function support and completed winding multiplicities. The fine-structure constant, through a cubic intrinsic participation functional. The universality of proton and electron charge magnitudes. The opposite electric-charge signs of protons and electrons, interpreted through relational orientation. The proposed winding construction identifies a candidate proton multiplicity of 1836, while the cubic participation functional gives a candidate inverse fine-structure constant of approximately 137.0442. The paper additionally examines completion scaling, numerical residuals and the physical assumptions required to connect intrinsic geometry with observable particle properties. Throughout, exact mathematical identities are distinguished from conditional physical hypotheses and outstanding dynamical derivations. The resulting framework is presented as an exploratory, quantitatively testable research programme rather than an established replacement for existing physical theories. The central question is whether the invariant structure, recurrence and global completion of geometry can provide a common physical origin for mass and electric charge.