Analytical framework shows how gravity and exotic matter affect traversable wormhole stability.
The Ellis drainhole solution is reinterpreted within the Chronoflux framework, in which gravity is described through the dynamics of a conserved temporal flow. The scalar sector supporting the drainhole is identified with the longitudinal mode of the intrinsic temporal field, and the flare-out condition is shown to arise from temporal differential inertia rather than exotic matter. A covariant four-dimensional action for the temporal flow is constructed and the static spherically symmetric sector is solved explicitly. The throat radius follows from a balance between temporal inertia, chronoflux pressure, and conserved flow charge. Linear perturbations show the existence of a finite stability window. The solution remains horizon-free, geodesically complete, and consistent with the continuity-law formulation used throughout the Chronoflux Research Initiative series.
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Roy Herbert (2025) studied this question.
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