This research introduces concepts in quantum gravity and how they can be used for several new industrial applications.
Among them, quantum engineering, quantum optics, photonics, nano-photonics, electro-optics, sensors, electrical machines and power generators.
Our work is based on the complex-valued Lorentzian space-time, and the fundamental research by several scientists. Among them, the research of Christian Beck, Queen Mary University of London, on chaotic string theory, David Deutsch’s, University of Oxford, no-CTC theorem, structure of the multiverse, and shadow particles, Salvatore Esposito, INFN, on the multibarrier tunnelling, Carl Bender, Washington University and King's College, on non-Hermitian Hamiltonians, Elena Palesheva, University of Tomsk, on the characterization of Deutsch’s shadow photons, and Alexander Guts, University of Omsk, on the quantum cosmology underlying Deutsch’s shadow particles proposal.
The energy exchanges described in this research happen in holomorphic complex-valued time introduced by David McLaughlin, Courant institute of Mathematical Sciences, New York University, on base of previous research by Donald Babbitt, Institute of Advanced Studies, at Princeton.
In doing so, we explore new applications for nonlinear dynamics, stochastic processes, near-field quantum electrodynamics and chaotic string theory.
Also, we investigate the quantum cosmological meaning of reactive energy. In terms of engineering applications, we demonstrate how limitations of security, safety and performance can be overcome by our proposed quantum engineering recipes. An example is a relation between the optical systems’ dielectric coating, virtual photons and the signal-to-noise ratio (SNR).
We build upon this work in order to derive new mathematical propositions which lead us to a novel theorem supported by the arguments presented in [106].
The theorem proves the formal analogy of the initial Chebyshev polynomials referred to chaotic uncoupled noise fields based on Bernoulli shift of symbols, happening in Parisi-Wu fictitious time, with the quantum mechanical harmonic oscillators of Hermitian and non-Hermitian Hamiltonians.
Concerning multi-coated optical systems, lenses, mirrors and solid-state detectors, we present a proof, supported by the arguments in [490, 523] that the reduced frequency-dependent noise power spectral density observed in optical systems, attributed to reduced power energy dissipation rate in Young’s complex modulus, is caused by the Hartman effect.
The Hartman effect is due to virtual photons tunnelling a potential barrier, proportional to the coatings’ geometries alternating membrane-like metallic compounds and dielectric materials.
Recently it has been shown the correctness in the quantum field theoretic framework of a proof-of- principle design of a toroidal power generator. In the quantum gravity framework, a generator can extract stochastic information and energy from the quantum vacuum respecting the general laws of physics, and especially those of energy conservation, because it is energy extracted from other universes. Its design results in a cost-effective silicon-made source of active power.
We also extend work on quantum electrodynamics and quantum gravity to derive a proof of principle design for a Single-Photon Source with high quality and effectiveness, resulting in enhanced timing accuracy. In order to do so, we use nanoparticles’ foliated design, reducing the Brownian noise by extraction of infrared virtual photons.
The work has multiple applications, including the design of components for defence, security and aerospace and advanced manufacturing industry. We argue that this is the first set of mathematical propositions, built on the independent works of Beck, Deutsch, Esposito, Bender, Guts and Palesheva which can have real, practical engineering and industrial application.
A research supported by forty-five Scholars affiliated with twenty-eight universities and laboratories in eighteen countries.