Solitonic Theory of Room-Temperature Superconductivity: Bi-Soliton Condensation in the Elastic Continuum and Hetero-Structure Synthesis Protocol

### CRYPTOGRAPHIC PROOF OF INTEGRITY & PRIOR ART (SHA-256)- **Document Title:** Solitonic Theory of Room-Temperature Superconductivity: Bi-Soliton Condensation in the Elastic Continuum and Hetero-Structure Synthesis Protocol- **Author:** Prof. Pablo Enrique Aballe Vázquez (ORCID: 0000-0001-7189-5452)- **Primary Document File:** `03_SOLITONIC_ROOM_TEMPERATURE_SUPERCONDUCTIVITY.pdf`- **SHA-256 Checksum:** `A9817295430159299A3455AEC91FB504021530E31F668AD5410A04B2658258E1`- **Verification Command (Windows):** `CertUtil -hashfile 03_SOLITONIC_ROOM_TEMPERATURE_SUPERCONDUCTIVITY.pdf SHA256`- **Verification Command (Linux/macOS):** `sha256sum 03_SOLITONIC_ROOM_TEMPERATURE_SUPERCONDUCTIVITY.pdf` --- ### ABSTRACT / RESUMEN CIENTÍFICO The standard Bardeen-Cooper-Schrieffer (BCS) framework establishes a theoretical phonon-mediated ceiling (the McMillan limit, Tc ≲ 30–40 K), precluding ambient-condition superconductivity under acoustic lattice vibrations. Here, a non-linear continuous plenum formulation is established wherein the electron is described as a topological toroidal vortex soliton (T(2,3) knot). Bound charge transport occurs via topologically stable **bi-solitons** coupled to high-frequency non-phonon channels. To achieve room-temperature, ambient-pressure superconductivity (Tc ≥ 300 K, P = 1 atm), four synergistic structural modifications are formulated:1. **High-frequency non-local excitonic polarizability** via conjugated π-electron layers (Little-Ginzburg mechanism);2. **Extreme two-dimensional geometric anisotropy** suppressing large-angle back-scattering;3. **Chemical pre-compression of ternary superhydrides** (La₁₋ₓYₓ)H₁₀₋ᵧMᵧ with covalent boron/carbon/nitrogen interstitial struts sustaining an internal lattice pressure P_int > 100 GPa under 1 atmosphere external pressure;4. **Flat-band Fermi surface topology** (Kagomé/Moiré lattices) maximizing the density of states N(E_F) with vanishing Fermi velocity v_F < 5 × 10⁴ m/s. An experimental synthesis recipe for an [A]-[B]-[C]-[B]-[A] hetero-crystalline superlattice via Molecular Beam Epitaxy (MBE) is detailed, accompanied by strict four-point electrical resistivity and Meissner-Ochsenfeld diamagnetic shielding verification protocols.