Relational Redundancy - Equivalent Structural Descriptions and the Basis of Gauge Structure - Paper 1h Abstract Papers 1a through 1g of the Finite Reversible Closure (FRC) programme established the emergence of relational structure beginning from the Zerofield boundary through distinction, independence, orthogonality, composite relations, compatibility filtering and closure relations among surviving configurations. These steps identify interacting relational structures composed of finite relational units. This paper examines how such structures may be represented without altering the relations that define them. We demonstrate that relational structures can admit representations containing degrees of freedom that do not affect relational invariants. These degrees of freedom produce relational redundancy. Transformations that preserve relational invariants connect different redundant representations of the same structure. Relational redundancy therefore separates the structure itself from the representation used to describe it. This structural redundancy provides the conceptual foundation for gauge symmetry, which is developed formally prior to and within Paper 2 of the programme. Introduction Papers 1a through 1g established the emergence of relational configurations within the Finite Reversible Closure framework. Beginning from the Zerofield boundary, the programme developed the following structural sequence;- distinction between statesindependence of relational variationorthogonal geometric representationcomposite relations between independent directionscompatibility filtering among possible relationsclosure relations among surviving configurations These steps identify interacting relational configurations composed of finite relational units. However, relational structures can often be described in more than one way. The same structure may be encoded using different coordinate systems, labels, origins or reference conventions. The purpose of this paper is therefore to examine the relationship between a relational structure and the representation used to describe it. In particular, the paper identifies situations in which representations contain degrees of freedom that do not affect the relations that define the structure. These degrees of freedom produce relational redundancy.
Joe Bloggs (Mon,) studied this question.