Paper B of the gravity-sector trilogy (A: Constitution; B: Realisation; C: Necessity of Mass). This paper takes the identification of gravity with R-local coherence-maintenance as established in Paper A (The Constitution of Curvature) and develops its local realisation. It is the most conjectural paper of the three: both mechanisms are structurally motivated, partially developed, and technically unfinished. Its in-house result is the synthesis of Part IV (the two readings offered as complementary under coherence-maintenance, the complementary reading being the natural one, though not forced over the alternative). The G-derivation and the fabric-geometry landing belong to Paper A; the formation of mass and the identity of inertial and gravitational mass belong to Paper C. Abstract The TEF gravity arc establishes the identification of gravity with R-local coherence-maintenance of mass-energy through three steps: R is the coherence-maintenance register by definition (from ItoE-CAB and the foundational TEF axioms); mass-energy's existence as C-coherent occupation requires R-local coherence-maintenance (by ItoE); gravity is what mass-energy's coherence-maintenance looks like at finite scale (from general relativity's empirical content together with the C-R interface identification of Why Gravity Resists Quantisation §2.5 and the substrate identification of The Constitution of Curvature §3). The three steps establish the identification with empirical content: whatever performs coherence-maintenance of mass-energy must look like gravity, and gravity does. Two things must be held apart in this identification, because they do not carry the same status of certainty. That gravity is R (the reflexive admissibility register, not a participation field) is established by the arc (the register lock of Why Gravity Resists Quantisation and the foundational definition of R). That the operational content of the C–R interaction is coherence-maintenance between self and non-self is the conjectured layer, labelled "Conjectured" in Paper A §3.6.7. The present paper takes gravity = R as established and realises the conjectured coherence-maintenance content; it does not treat that content as itself beyond argument. What the prior papers do not deliver is a local realisation: a formal specification of how R-local coherence-maintenance carves itself into geometric form at finite scale. The constraint reading of Paper A identifies what the configuration is for: R-local maintaining coherence of mass-energy at the site of C-elevation, which is structurally the same operation, viewed at the local scale, as R₍Whole₎'s preservation of global admissibility at that site. The local activity is primary; the Whole-level admissibility consequence follows from it. The Lovelock closure of The Fabric's Equations fixes the form of the field equations conditional on three inputs. What neither paper supplies is the formal mechanism through which coherence-maintenance generates the field configuration. The present paper develops two candidate realisations. The first treats the unoccupied-to-occupied transition as a phase transition, with the metric as the order-parameter field of the local C/P phase mixture and curvature as the spatial variation of the order parameter. Under this realisation, R-local coherence-maintenance would be formalised as free-energy minimisation of an order-parameter field: the fabric would arrive at its configuration by the same kind of mechanism that ordered phases of matter arrive at theirs. The realisation is proposed, not demonstrated, at this stage. The second treats the static curvature around bound matter as the time-averaged signature of continuous R-mode activity sourced by binding dynamics. C-coherent occupation is dynamically maintained: binding energy holds quarks together inside nucleons, atoms together in molecules, structures together against dispersal. Under this realisation, the standing curvature is the coarse-grained pattern of R-mode activity driven by the ongoing binding. R-local coherence-maintenance would be formalised as continuous-source equilibrium rather than as order-parameter minimisation. The realisation is proposed as a structurally motivated possibility, not as a derivation. Under their conjectural status as candidate realisations, the two proposals share the feature of expressing the same underlying coherence-maintenance activity through different formal languages. They may be complementary (operating at different structural levels: phase at the order-parameter level, standing wave at the R-mode excitation level) or alternative (different formal languages for the same coherence-maintenance activity). Determining which would require technical work this paper sketches but does not complete. Both readings locate the candidate sites for substantive content beyond general relativity at saturation: horizons as critical surfaces under the phase reading, horizons as boundaries of standing-wave coherence under the standing-wave reading. Both engage with the entropic-gravity programme of Verlinde and Jacobson. The identification reframed in v3 has a consequence beyond what the present paper develops: gravity resists quantisation because coherence-maintenance is not evental. Coherence-maintenance is the standing condition under which events are possible at all; it is not itself a thing that happens. Quantisation, a P-register procedure applicable to evental exchanges, does not apply to the standing condition that makes exchange possible. The category error in quantum-gravity programmes is not soft register mismatch but structural inapplicability of the procedure to its target. This sharpens the diagnosis of Why Gravity Resists Quantisation and is treated as a consequence of the identification in §1.3. Falsification conditions are stated for each realisation. Both realisations are conjectural in the strict sense: structurally motivated, partially developed, technically unfinished. The identification they realise has two layers: that gravity is R is established by the prior gravity-arc papers; that the operational content of the C–R interaction is coherence-maintenance is the conjectured layer (Paper A §3.6.7), which the realisation candidates carry through to formal mechanism. The contribution of the present paper is the identification of two candidate formalisations of how R-local coherence-maintenance is expressed at finite scale. Dependency and Scope Note This paper is downstream of: The Primitive Principle (Chao, 2026b) establishes ItoE, the three modes (C, R, P), CAB, and the Triaxial Existential Field. DOI: 10.5281/zenodo.18164161 Admissibility and Invariance (Chao, 2026c) locates Lorentz invariance and general covariance as R₍Whole₎ constraint regularities. DOI: 10.5281/zenodo.18222751 Why Gravity Resists Quantisation (Chao, 2026d) establishes register orthogonality, identifies gravity as geometrically articulated R-constraint, derives the C–R interface, and derives Lorentz symmetry from ItoE. DOI: 10.5281/zenodo.20725694 Whole-Level Roles in the Primitive Principle (Chao, 2026e) names Matter (C₍Whole₎), Consciousness (R₍Whole₎), and Time. DOI: 10.5281/zenodo.18327773 What Mathematics Is (Chao, 2026m) establishes register identity. DOI: 10.5281/zenodo.18592110 The Photonic Fabric (Chao, 2026p) establishes the photonic fabric as the physical instantiation of TEF, with the three-way carving of the cosmological constant problem (artifact / P-baseline / Λ). DOI: 10.5281/zenodo.20726590 The C–R Interface and the Reframing of Cosmological Paradoxes (Chao, 2026q) presents the Λ conjecture and the fivefold interface decomposition (2+2+1). DOI: 10.5281/zenodo.20727127 The Fabric's Equations (Chao, 2026r) applies Lovelock's theorem to derive the Einstein field equations as the unique R-mode dynamics under three inputs. DOI: 10.5281/zenodo.20798969 The Constitution of Curvature (Paper A) identifies energy-weighted occupation as the substrate quantity and admissibility-maintenance as the constraint reading of curvature. The present paper does not re-argue these foundations. It is downstream of them, but not a mere consumer of them. That gravity is R-local is established by the gravity arc as a whole; that the operational content of the R-local interaction is coherence-maintenance is the arc's conjectured layer (Paper A §3.6.7), argued from the side of ontology (the foundational definition of R, the ItoE coherence-maintenance requirement, the C-R interface identification, the substrate identification, the Lovelock closure of the field equations). The present paper completes the arc from the side of mechanism, demonstrating that R-local coherence-maintenance carries through to formal mechanism in the form of two candidate realisations. The paper's contribution is to identify those candidate realisations, phase articulation and standing R-mode patterns, that formalise how the established R-local coherence-maintenance carves into geometric form at finite scale. The contribution is conjectural at the technical level: both candidate realisations are structurally motivated and partially developed; neither is technically closed. What is not conjectural is the demonstration that mechanism is available to the identification, which is what the present paper contributes to the arc's establishment of gravity = R-local. Scope: What Is Established, What Is Conjectured, What Is Empirical Established by the gravity arc as a whole (argued in the prior papers; this paper contributes the mechanism side): The identification of gravity with R-local coherence-maintenance of mass-energy. R as the coherence-maintenance register by definition (from The Primitive Principle and Whole-Level Roles). The ItoE requirement that C-coherent occupation be coherence-maintained as a condition of its admissible existence (from The Primitive Principle). The C-R interface identification (from Why Gravity Resists Quantisat
Jaimes Chao (Wed,) studied this question.