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Emergence from Quantum Uncertainty: Testing a Novel Ordering Principle Using Neural Networks

A. Schilling

Published Jun 9, 2026• 0 citations
Publisher

Abstract

The functioning of complex natural systems, such as living systems, still lacks a generally accepted theoretical basis and respective empirical verification. We propose an experiment to test whether such systems are subject to an unknown ordering principle beyond known physical laws. We hypothesize that the quantum mechanical uncertainty principle enables ordering phenomena in nearly chaotic systems in the sense of a strong emergence principle. Contrary to previous proposals, our hypothesis does not require fragile macroscopic quantum coherence, ensuring compatibility with the harsh conditions in living systems. To test this hypothesis, we suggest comparing two virtually identical, complex artificial neural networks as a quantitative benchmark. One setup utilizes deterministic pseudo-random number generators at key sensitive points, while the other uses quantum-based physical random-number generators. A favorable outcome demonstrating the superiority of quantum randomness would have considerable implications beyond artificial networks, particularly for the discussions on consciousness and free will.

DOI
10.20944/preprints202601.0792.v6

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The functioning of complex natural systems, such as living systems, still lacks a generally accepted theoretical basis and respective empirical verification. We propose an experiment to test whether such systems are subject to an unknown ordering principle beyond known physical laws. We hypothesize that the quantum mechanical uncertainty principle enables ordering phenomena in nearly chaotic systems in the sense of a strong emergence principle. Contrary to previous proposals, our hypothesis does not require fragile macroscopic quantum coherence, ensuring compatibility with the harsh conditions in living systems. To test this hypothesis, we suggest comparing two virtually identical, complex artificial neural networks as a quantitative benchmark. One setup utilizes deterministic pseudo-random number generators at key sensitive points, while the other uses quantum-based physical random-number generators. A favorable outcome demonstrating the superiority of quantum randomness would have considerable implications beyond artificial networks, particularly for the discussions on consciousness and free will.
The functioning of complex natural systems, such as living systems, still lacks a generally accepted theoretical basis and respective empirical verification. We propose an experiment to test whether such systems are subject to an unknown ordering principle beyond known physical laws. We hypothesize that the quantum mechanical uncertainty principle enables ordering phenomena in nearly chaotic systems in the sense of a strong emergence principle. Contrary to previous proposals, our hypothesis does not require fragile macroscopic quantum coherence, ensuring compatibility with the harsh conditions in living systems. To test this hypothesis, we suggest comparing two virtually identical, complex artificial neural networks as a quantitative benchmark. One setup utilizes deterministic pseudo-random number generators at key sensitive points, while the other uses quantum-based physical random-number generators. A favorable outcome demonstrating the superiority of quantum randomness would have considerable implications beyond artificial networks, particularly for the discussions on consciousness and free will.
The functioning of complex natural systems, such as living systems, still lacks a generally accepted theoretical basis and respective empirical verification. We propose an experiment to test whether such systems are subject to a hitherto unknown organizing principle, in which the quantum mechanical uncertainty principle enables ordering phenomena in chaotic or nearly chaotic systems in the sense of a strong emergence principle. Contrary to previous proposals, our hypothesis does not require fragile macroscopic quantum coherence, ensuring compatibility with the harsh conditions in living systems. To test this hypothesis, we suggest comparing two virtually identical, complex artificial neural networks as a quantitative benchmark. One setup utilizes deterministic pseudo-random number generators at key sensitive points, while the other uses quantum-based physical random-number generators. A favorable outcome demonstrating the superiority of quantum randomness would have considerable implications beyond artificial networks, particularly for the discussions on consciousness and free will.
The functioning of complex natural systems, such as living systems, still lacks a generally accepted theoretical basis and respective empirical verification. We propose an experiment to test whether such systems are subject to a hitherto unknown organizing principle, in which the quantum mechanical uncertainty principle enables ordering phenomena in chaotic or nearly chaotic systems in the sense of a strong emergence principle. Contrary to previous proposals, our hypothesis does not require fragile macroscopic quantum coherence, ensuring compatibility with the harsh conditions in living systems. To test this hypothesis, we suggest comparing two virtually identical, complex artificial neural networks as a quantitative benchmark. One setup utilizes deterministic pseudo-random number generators at key sensitive points, while the other uses quantum-based physical random-number generators. A favorable outcome demonstrating the superiority of quantum randomness would have considerable implications beyond artificial networks, particularly for the discussions on consciousness and free will.
The functioning of complex natural systems, such as living systems, still lacks a generally accepted theoretical basis and respective empirical verification. We propose an experiment to test whether such systems are subject to a hitherto unknown organizing principle, in which the quantum mechanical uncertainty principle enables ordering phenomena in chaotic or nearly chaotic systems in the sense of a strong emergence principle. Contrary to previous proposals, our hypothesis does not require fragile macroscopic quantum coherence, ensuring compatibility with the harsh conditions in living systems. To test this hypothesis, we suggest comparing two virtually identical, complex artificial neural networks as a quantitative benchmark. One setup utilizes deterministic pseudo-random number generators at key sensitive points, while the other uses quantum-based physical random-number generators. A favorable outcome demonstrating the superiority of quantum randomness would have considerable implications beyond artificial networks, particularly for the discussions on consciousness and free will.
The vital characteristic of randomness is unpredictability. Thus any regularity will compromise the application of random numbers. Quantum random number generators (QRNGs) can provide intrinsic unpredictable randomness based on the nature of quantum physics, while pseudo-random number generator can not due to the origination of deterministic algorithms or physical processes. However, commonly used traditional test suits are rigorously to test the statistical properties, and the unpredictability of random numbers is still difficult to test. To verify which sources of random numbers are truly unpredictable, in this paper, we propose a new randomness testing method with the artificial neural network (ANN). Random number sequences generated by four different kinds of sources are tested, which are the natural number λ, the linear congruence generator (LCG) pseudo-random algorithm, the Mersenne Twister (MT) pseudorandom algorithm and the QRNG based on vacuum noise, respectively. The testing results indicate that the random sequences from natural number λ and LCG fail to pass our randomness test, while the other two kinds of sequences pass the test successfully due to the relatively simple structure of our ANN. As the complexity of the ANN and the amount of computing power involved increasing, this test method has potential to predict the MT random numbers, and it is also expected that the quantum random numbers can not pass the test with unpredictability no matter how complex the ANN is.
The generation of random numbers and the study of its properties have been an elusive field for a fair portion of the century. The application of random numbers is employed in many use cases such as cryptography, neural networks, numerical simulation, and gambling. The performance of each of these use cases is profoundly impacted by the employed random numbers; henceforth, the quality of randomness is of critical importance when it comes to their usage. A poorly generated random number can make a security system vulnerable, or any numerical or statistical evaluation misleading. Although various modes of classical random number generators exist and still function to provide strong cryptographic properties, emergence of quantum mechanical randomness has shed light on a novel path of generating certified randomness which supersedes the classical counterpart in terms of security. Harnessing quantum mechanical phenomena enables generation of true random numbers which can be certified and further implemented to elevate the net quality of the specific use cases. In this work, we generate and analyze random numbers from three different sources — 50: 50 beam splitter (BS), quantum key distribution (QKD) setup with classical post-processing scheme, and a commercially available quantum random number generator (QRNG) (ID Quantique (IDQ)). The quality of the generated random numbers from the various sources is checked in statistical tests and compared. Further on, we have developed a system which implements the QRNG-based random numbers to facilitate message authentication code (MAC) and one time password (OTP) protocols, demonstrating a communication network application. In this manner we discuss about a network which integrates quantum mechanics to the current classical networking approaches to enhance certain aspects of the networking protocol — in this case, the security.