The Scalar-Field Origin of Electric Charge: Handed Bounded Matter and Relational Accommodation in the Entanglement-Algebraic Spacetime

Abstract

This paper is archived as a speculative research work.Electric charge enters conventional electrodynamics as a signed matter representation under electromagnetic U(1). Entanglement–Algebraic Spacetime (EAS), by contrast, contains no primitive electric-charge variable. This paper identifies the Scalar-Field structure from which the signed persistent matter charge class arises. The certified core is a reversal-sensitive relation-local discriminator between two coherent handed bounded supports. Under the paper-specific quantitative report premises stated below, the two-support configuration analyzed here gives Δ_B f_ SOO = -H_AH_B( _B)/(2L) where H_A,H_B∈+1,-1 are the two native bounded-support handedness classes, L is relational extent, _B is the paper-specific report normalization, and Δ_B f_ SOO is the change in successful Second-Order Ordering (SOO) response relative to the matched A reference. The certified ordered relational-path reciprocal-parity theorem supplies the relation-local discriminator: same-hand endpoint pairing has U= S=0, whereas opposite-hand endpoint pairing has U= S=1; on repeat-due opportunities the accommodation report inherits the same distinction. Reversing the handedness of either support therefore reverses the sign of the additional relational response while the remaining structural inputs are held fixed. Recurrence–accommodation synchrony transfers this result to the accommodation sector, Δ_B f_ ext^( acc) = ≤ft( -H_AH_B( _B)/(2L),0,0 ). For a matched finite ensemble of M repeat-due opportunities, E_ _M[Δ_BN_AB] = -M H_AH_B( _B)/(2L), and unit accommodation gives the relational-continuation identity _BL_AB^( acc)=Δ_BN_AB. The charge construction is explicitly a coherent bounded-support construction. Free photon-like organizations belong to a structurally distinct recurrence sector and lie outside the domain of the bounded-support charge map. No claim concerning the generation, propagation, or persistence of photon-like-sourced relational conditioning is required here. For a completed charge-eligible handed support, the three-channel report is normalized as _H=H(1,1,1). Among linear charge-report compressions satisfying cyclic relabel invariance and completed-unit normalization, the unique common-mode map is C_Q( _0, _1, _2) = ( _0+ _1+ _2)/(3). With the interface class-label convention stated below, the single-support charge map is represented as Q_b=H=±1. This dimensionless class supplies the matter weight subsequently represented under electromagnetic U(1). By the ``origin of electric charge'' we mean the Scalar-Field provenance of this normalized signed persistent matter charge class. The empirical coupling e, the fine-structure constant, electromagnetic current and field strength, and the quantitative Coulomb force law are downstream problems.