𝐖𝐚𝐯𝐞–𝐏𝐚𝐫𝐭𝐢𝐜𝐥𝐞 𝐃𝐮𝐚𝐥𝐢𝐭𝐲 𝐢𝐧 𝐑𝐒𝐓

🌊🔹 𝐖𝐚𝐯𝐞–𝐏𝐚𝐫𝐭𝐢𝐜𝐥𝐞 𝐃𝐮𝐚𝐥𝐢𝐭𝐲 𝐢𝐧 𝐑𝐒𝐓 ① 𝐓𝐡𝐞 𝐒𝐮𝐛𝐬𝐭𝐫𝐚𝐭𝐞 𝐅𝐢𝐞𝐥𝐝 (𝐒) 𝐚𝐬 𝐭𝐡𝐞 𝐌𝐞𝐝𝐢𝐮𝐦 In RST, reality is not empty space but a continuous Substrate Field (S). ✨ Waves = propagating tension in the field ✨ Particles = soliton knots of tension (stable localized structures) ➡️ Both “wave” and “particle” are simply different manifestations of substrate strain. ② 𝐇𝐨𝐰 𝐖𝐚𝐯𝐞𝐬 𝐚𝐧𝐝 𝐏𝐚𝐫𝐭𝐢𝐜𝐥𝐞𝐬 𝐂𝐨𝐞𝐱𝐢𝐬𝐭 🔹 Wave Aspect: The term −cₗₒcₐₗ² ∇²S in the Substrate Field Equation (SFE) governs oscillations and propagation. This gives rise to interference, diffraction, and the “spread‑out” behavior of quantum systems. 🔹 Particle Aspect: The soliton solution σ(x,t) represents a localized knot of tension. This is what gives matter its discreteness, mass, and stability. ③ 𝐃𝐮𝐚𝐥𝐢𝐭𝐲 𝐚𝐬 𝐒𝐭𝐫𝐮𝐜𝐭𝐮𝐫𝐚𝐥 𝐃𝐢𝐟𝐟𝐞𝐫𝐞𝐧𝐭𝐢𝐚𝐭𝐢𝐨𝐧 In classical physics, waves and particles are treated as separate categories. In RST, they are two sides of the same substrate dynamics: ⚡ A soliton (particle) is a self‑trapped wave packet ⚡ A free wave is tension propagating without localization ➡️ Duality is not paradoxical — it’s a continuum of substrate behavior. ④ 𝐌𝐞𝐚𝐬𝐮𝐫𝐞𝐦𝐞𝐧𝐭 & 𝐂𝐨𝐥𝐥𝐚𝐩𝐬𝐞 When we “measure” a quantum system, the substrate tension redistributes. The irreversibility term Fᴿ(C[Ψ]) stabilizes the soliton, forcing the system into a localized state. 👉 This explains why particles appear point‑like in experiments, even though their underlying substrate dynamics are wave‑like. ⑤ 𝐑𝐒𝐓’𝐬 𝐑𝐞𝐬𝐨𝐥𝐮𝐭𝐢𝐨𝐧 𝐨𝐟 𝐭𝐡𝐞 𝐏𝐚𝐫𝐚𝐝𝐨𝐱 Wave–particle duality is not a mystery but a misinterpretation of substrate modes. 🌐 Wave = extended tension mode 🌐 Particle = localized soliton mode Both emerge naturally from the same field equation, without requiring separate postulates. ✅ 𝐈𝐧 𝐬𝐡𝐨𝐫𝐭: RST dissolves the paradox. What we call “wave” and “particle” are just different expressions of the same substrate tension field, unified in the SFE.