On the Bianchi-Identity Failure of Metamaterial-Modulated Gravitational Coupling and a Dual-Charge Source-Side Reformulation

On the Bianchi-Identity Failure of Metamaterial-Modulated Gravitational Coupling and a Dual-Charge Source-Side Reformulation

Recent proposals in low-energy "warp drive" physics, notably the Sarfatti–Wanser metamaterial metric-engineering ansatz [17,18,21], replace the constant gravitational coupling κ₀ ≡ 8πG/c⁴ in Einstein’s field equation with a spatially varying scalar field κ(x) controlled by the electromagnetic susceptibility χ(ω) of an engineered medium. Such proposals have also been linked to the framework of "post-quantum mechanics" (PQM) and to claims of signal nonlocality through entanglement [17,20]. We show that the prescribed-κ(x) approach is structurally inconsistent with the contracted Bianchi identity ∇μGμν ≡ 0, in agreement with the recent analysis of Rodal [13]; that the dynamical-κ alternative reduces to a scalar–tensor theory in tension with experimental constraints on the Strong Equivalence Principle [27]; and that the associated signal-nonlocality program is tightly constrained by the Wootters–Zurek and Dieks no-cloning theorems [6,26], by Gisin’s 1989 nonlinear-quantum no-go theorem [9], and by the experimental falsification of the FLASH equivalence class by De Angelis et al. [5]. As a constructive alternative, we present an analytical development of the dual-charge gravitational framework formulated by V. Černohajev (1958–2019) and now publicly archived [4]. The framework operates on the source side of Einstein’s equation, preserves the Bianchi identity by construction, and yields a stability ratio rmax ≡ 2 (mp / e) √( G / ke ) ≈ 1.80 × 10 ,⁻¹⁸ derivable from CODATA constants alone, which integrates the fine structure constant α through the relation rmax² · α = 4·αg(p), where αg(p) ≡ G mp² / ( c) is the proton gravitational fine structure ℏ constant. We give a minimal Lagrangian formulation of the dual-charge framework, derive its linearised gravitoelectromagnetic limit, and exhibit the resulting Maxwell-like dual-charge structure, which connects the framework to existing peer-reviewed results on gravitomagnetic monopoles [2,22]. We discuss areas of convergence with the Sarfatti program (the action–reaction principle and the 1975 Einstein–Rosen / EPR identification anticipated in [24]) and outline experimental signatures of the dual-charge framework consistent with existing tests of gravitomagnetism and the equivalence principle.

Gene Sticco

Engineering Infinity: Earth's First Interstellar Blueprint

Zenodo

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