New principles in quantum mechanics : their application to space exploration and relativity

Joginder Singh Galsin

Jincheng Zhang

This paper explores the potential of expanding the concept of metric spaces to encompass quantum mechanics, introducing a novel mathematical tool termed the "Quantum-Inspired Metric" – a framework predicated on the principles of quantum mechanics to define distances and relationships. The core claim is that this development offers a significant bridge between quantum mechanics and classical geometry, providing new mathematical tools and insights applicable to describing and analyzing quantum systems. The paper outlines the development of the Quantum-Inspired Metric, detailing its foundational principles and potential applications across various areas of physics and mathematics. We present a preliminary analysis demonstrating the efficacy of this approach in establishing new relationships and characterizing quantum phenomena, ultimately proposing a paradigm shift in how we understand and model the behavior of quantum systems.

Naceur Gaaloul, Holger Ahlers, Leonardo Badurina +45 more

Space-borne quantum technologies, particularly those based on atom interferometry, are heralding a new era of strategic and robust space exploration. The unique conditions of space, characterized by low noise and low gravity environments, open up diverse possibilities for applications ranging from precise time and frequency transfer to Earth Observation and the search of new Physics. In this paper, we summarise the M-class mission proposal in response to the 2022 call in ESA's science program: Space-Time Explorer and Quantum Equivalence Principle Space Test (STE-QUEST). It consists in a satellite mission featuring a dual-species atom interferometer operating over extended durations. This mission aims to tackle three of the most fundamental questions in Physics: (i) testing the universality of free fall with an accuracy better than one part in $10^{-17}$, (ii) exploring various forms of Ultra-Light Dark Matter, and (iii) scrutinizing the foundations of Quantum Mechanics.

James Tan

Jincheng Zhang

This paper introduces a novel Dimension Expansion Algorithm (DEA) leveraging quantum entanglement to dynamically extend the dimensional landscape for simulation purposes, particularly with emphasis on potential applications in quantum computing and exploration of hypothetical multi-dimensional spaces. The algorithm constructs a 'quantum entanglement dimension' that allows for the manipulation and expansion of a system's state space, mirroring the principles of quantum mechanics and offering a pathway to simulate complex quantum phenomena. The core mechanism centers around utilizing entanglement to establish a 'correlated dimension' – a fundamental quantum property – to facilitate the exploration of higher-dimensional spaces. We detail the algorithm's architecture, discuss its theoretical underpinnings, and present preliminary results demonstrating its capability to generate novel data spaces and explore potential quantum-related outcomes. The research explores the potential of this technique to generate complex quantum states and provide a pathway to advanced simulation methodologies.

Luis Grave de Peralta, Maricela Fernández Lozada, Hira Farooq +3 more