Protocol for the detection of metric–matter couplings through fractal–holographic quantum geometric resonance: towards an experimental verification of the foundations of the warp drive
DOI:
https://doi.org/10.62059/LatArXiv.preprints.565Keywords:
Quantum resonance, Fractal geometry, Holography, Metric-matter coupling, Curvature motor, Quantum metrology, Superconducting cavities, Linearized general relativity, Metric engineering, Space-time curvatureAbstract
We present a revolutionary theoretical-experimental framework for detecting couplings between electromagnetic fields and spacetime metric perturbations by integrating toroidal fractal geometries and holographic resonance of quantum modes. This work establishes the experimental foundations for controlled metric engineering — the fundamental principle behind the Alcubierre warp drive. Using superconducting cavities optimized with fractal patterns and advanced quantum metrology techniques, we demonstrate the feasibility of achieving sensitivities of ΔL/L ∼ 10⁻²⁸–10⁻³⁰, enabling the detection of curvature effects analogous to those required for metric propulsion but within the weak-field regime. The mathematical formalization of fractal-holographic couplings reveals geometric amplification mechanisms that could scale toward macroscopic metric effects.
References
Alcubierre, M. (1994). The warp drive: hyperfast travel within general relativity. Classical and Quantum Gravity, 11(5), L73.
White, H., et al. (2012). Warp Field Mechanics 101. Journal of the British Interplanetary Society, 66, 242-247.
Rovelli, C. (2004). Quantum Gravity. Cambridge University Press.
Will, C. M. (2018). Theory and Experiment in Gravitational Physics. Cambridge University Press. 6
Aspelmeyer, M., et al. (2014). Cavity optomechanics. Reviews of Modern Physics, 86(4), 1391.
Teufel, J. D., et al. (2011). Sideband cooling of micromechanical motion to the quantum ground state. Nature, 475(7356), 359-363.
Schreppler, S., et al. (2014). Optically measuring force near the standard quantum limit. Science, 344(6191), 1486-1489.
Mandelbrot, B. B. (1985). Self-affine fractals and fractal dimension. Physica Scripta, 32(4), 257.
Lentz, E. (2021). Breaking the warp barrier: hyper-fast solitons in Einstein–Maxwell-plasma theory. Classical and Quantum Gravity, 38(7), 075015.
Bobrick, A., et al. (2021). Introducing physical warp drives. Classical and Quantum Gravity, 38(10), 105009.
Thorne, K. S. (1994). Black Holes and Time Warps: Einstein’s Outrageous Legacy. W. W. Norton.
Barcel´o, C., et al. (2005). Analogue gravity. Living Reviews in Relativity, 8(1), 12.
Downloads
Downloads
Posted
Categories
Data Availability Statement
Pongo a disposición los datos de la investigación.
License
Copyright (c) 2025 Marcelo Gallardo Nicolalde (Autor/a)
This work is licensed under a Creative Commons Attribution 4.0 International License.
This preprint contains the reported license and associated copyright. Once published in an associated journal or other publisher, the published version assumes the publisher's terms and conditions.
