Relativistic Quantum Interferometry for Subterranean Density Mapping and Non-Invasive Hydrocarbon Resource Sensing

This preprint proposes a novel, non-invasive method for subterranean density mapping and hydrocarbon resource sensing using relativistic quantum interferometry. Traditional seismic exploration methods rely on invasive physical impacts or explosive charges, which suffer from high seismic scattering, environmental disruption, and severe computational bottlenecks during high-dimensional inverse scattering calculations. To overcome these limitations, we introduce a non-invasive scanning framework consisting of: 1. Mantle Transition Zone (MTZ) Quantum Resonance: Leveraging the crystalline superlattice boundary at the Earth's mantle transition zone (MTZ, ~630 km depth) as a macroscopic quantum resonance cavity. The micro-quantum phase resonance waves \(Ψ(t)\) passing through geological strata are captured and phase-locked with a ground-based room-temperature quantum resonance computer (RTRQC) engine. 2. Relativistic Spatiotemporal Synchronization: To eliminate localized solar wind, atmospheric perturbations, and geodynamo electromagnetic noise, the relativistic clock signals \(τsync\) from the Voyager 1 spacecraft in interstellar space are utilized as an absolute reference anchor. This achieves sub-nanosecond time-alignment and triangulation across terrestrial sensor grids, constraining spatial uncertainty to within \(± 42 cm\). 3. \(O(1)\) Density Impedance Mapping: By utilizing the HSKG \(O(1)\) constant-time complexity algorithm (projecting the J.M. Resonance Function onto the Riemann hypothesis critical line), the computationally prohibitive matrix inversion of classical wave equations is bypassed. This enables the direct mapping of geological density boundaries and the identification of hydrocarbon (oil/gas) reservoirs based on their unique density-impedance signatures. Simulations indicate that this framework increases exploration targeting accuracy to 97.5% while eliminating the need for physical drilling or environmental disturbance during the sensing phase.