Behind the Paper

A Chinese Folk Scientist-From the Financial Market to Quantum Many-Body Theory

Led a group, Mr. Shi has dedicated himself to understanding the underlying mechanisms of quantum entanglement and its non-Gaussian distribution within the interdisciplinary field of complexity sciences. Their findings were eventually published in the International Journal of Theoretical Physics.

Published in Physics, Computational Sciences, and Mathematics

Go to the profile of Leilei Shi
Leilei Shi
Financial Industry Adviser, 1) University of Science and Technology of China; 2) Beijing SDF Science & Technology Co., Ltd.
A Chinese Folk Scientist-From the Financial Market to Quantum Many-Body Theory
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Mr. Leilei Shi was born in Jinhua, Zhejiang Province, China, in 1959. The youngest of five children, he grew up with four sisters. His father, Anju Shi, born in Tongliang, Chongqing, in 1911, was a pediatrician, while his mother, Suhua Liao, born in Xiluo, Taiwan Province, in 1922, was a maternity assistant at a hospital. Currently, Mr. Shi resides permanently in Beijing, P.R. China. He married at the age of 50, retired at 60 in 2019, after which he continued to work at Haitong Securities Co., Ltd. (Guotai Haitong) until 2024. He is now the father of a 13-year-old son.

Mr. Shi founded Beijing Shangdafei Science & Technology Co., Ltd. in 2024, which focuses on various high tech areas, including quantum information technology, artificial general intelligence (AGI), and wireless AGI entanglement communications (7G wireless communications), among others.

Mr. Leilei Shi obtained a Bachelor of Science in physics from the University of Science and Technology of China (USTC) in Hefei in 1982. He later pursued studies in business management at the Asian Institute of Management (AIM) in the Philippines, supported by a scholarship from the Asian Development Bank — The Government of Japan during the 1992-1993 academic year. In 2006, he made a significant discovery in the financial markets, unveiling a cumulative trading volume-price probability wave equation [1-5]. Since 2018, he has served as an industry advisor for the Master in Finance Program at USTC, a three-year full-time course.

Inspired by the nonlocal many-agent trading wave equation in financial markets, Mr. Shi led a research group that authored the paper entitled, "Interaction Wave Functions for Interaction-Based Coherence and Entanglement in Complex Adaptive Systems.” This paper was published online in the International Journal of Theoretical Physics on November 17, 2025 [6]. The authors proposed a new framework aimed at uncovering the underlying mechanism of interaction-coherent entanglement, a concept has puzzled the scientific community for over 90 years since the introduction of Einstein-Podolsky-Rosen (EPR) paradox in 1935.

As a freshman in the Department of Physics at USTC in 1978, Mr. Shi was profoundly influenced by a mechanics course taught by senior lecturer Mr. Lizhi Fang (see Fig. 1). Mr. Fang encouraged students to treat many-body problems as complex systems by using a "black box" approach, rather than solely relying on Newton's laws. He advised students to focus on the relationships between the input and output of this “black box,” regardless of the internal complexities they would encounter in their future careers. He noted that unexpected outcomes often arise in theoretical studies. Additionally, Mr. Longxuan Chen emphasized the importance of mastering essential mathematical skills in calculus of variations, describing it as a valuable tool for anyone aspiring to develop a scientific theory, particularly for theoretical physicists. The education at USTC planted the seeds of science in Shi’s soul. However, he adapted to pursue a career in business rather than in fundamental scientific research for quite some time, during the economic reform launched by Mr. Xiaoping Deng in China.

Fig. 1: Professor Lizhi Fang (1936-2012) was in a lecture at the University of Science and Technology of China (USTC) in the 1980s.

In 1999, twenty years later, Mr. Shi had developed an interest in academic research on financial markets while working as an independent stock trader in Beijing since 1996. Drawing from his years of stock trading experience and with the assistance of two USTC classmates from the Department of Physics at Tsinghua University, he revisited financial markets as complex systems. This exploration ignited his curiosity and let him to consult the physical and mathematical textbooks he had studied at USTC. His findings culminated in a paper published in Physica A in 2006, where he introduced a cumulative trading volume-price probability wave equation.

In June 2022, during a conversation with his then 9-year-old son, Haotian Shi, about the relationship between intelligent traders and complex systems, Mr. Shi began to ponder whether entangled particles possess intelligence-like properties, in addition to their wave-like characteristics. This intriguing question rekindled his passion for quantum physics. For over 90 years, quantum entanglement has posed challenges to the scientific community and remains a mystery.

Since then, Mr. Shi has dedicated himself to understanding the underlying mechanisms of quantum entanglement and its non-Gaussian distribution within the interdisciplinary field of complexity sciences (see Fig. 2). His findings were eventually published in a paper on quantum interaction-coherent entanglement in the International Journal of Theoretical Physics.

This journey, from the bustling financial markets to the intricate world of quantum mechanics, highlights not only Mr. Shi's passion for exploring complex systems but also the potential for interdisciplinary exploration to lead to groundbreaking discoveries in science.  

To maintain interaction-coherent entangled states, which are dissipative and energy-consuming, scientists and engineers must supply energy to complex quantum many-body systems. These pure states demonstrate high fidelity, strong resistance to decoherence, and the ability to self-adapt, self-organize, and self-repair. These features suggest potential applications in quantum information technology, including wireless photon-entanglement communication via mobile phones, quantum computation, and quantum precision measurement.

From a thoughtful perspective, Mr. Shi aims to propose an adaptive behavioral theory for artificial general intelligence (AGI) based on a many-agent trading volume-price probability wave equation. Stock markets serve an excellent platform for studying human intelligent behavior.

 

Fig. 2 Quantum many-body interaction-coherent entanglement studied in the interdisciplinary fields.

 

References

  1. Shi, Leilei (2006): “Does Security Transaction Volume-Price Behavior Resemble a Probability Wave?” Physica A, 366, 419-436.
  2. Shi, Leilei, Liyan Han, Yiwen Wang, Yan Piao, Ding Chen, and Chengling Gou (2011): “Market Crowd’s Trading Conditioning and Its Measurement”, In Working Paper, Presentations at the 10th China Economics Annual Conference (2010), 7th Annual Meeting of Chinese Finance Association (2010), 2010 Econophysics Colloquium (Taipei, China), the 60th Annual Meeting of Midwest Financial Association (2011, USA), 2011 China International Conference in Finance (CICF). Preprint available at Elsevier SSRN: http://ssrn.com/abstract=1661515
  3. Shi, Leilei, Binghong (Bing-Hong) Wang, Xinshuai Guo, and Honggan Li (2021): “A Price Dynamic Equilibrium Model with Trading Volume Weights Based on a Price-Volume Probability Wave Differential Equation”, International Review of Financial Analysis, 74 (March), 101603.
  4. Shi, Leilei, Xinshuai Guo, Andrea Fenu, and Bing-Hong Wang (2023): “The Underlying Coherent Behavior in Intraday Dynamic Market Equilibrium,” China Finance Review International, 13 (4), 568-598. https://doi.org/10.1108/CFRI-08-2022-0149
  5. Wang, Bing-Hong, and Leilei Shi (2025): “Network Complexity and Financial Behavior—volume distribution over price in the financial market,” Chapter 20 in Routledge Handbook of Complexity Economics (Co-edited by Ping Chen, Wolfram Elsner, and Andreas Pyka), 360-373.
  6. Shi, Leilei, Xinshuai Guo, Wei Zhang, Bing-Hong Wang (2025): “Interaction Wave Functions for Interaction-Based Coherence and Entanglement in Complex Adaptive Systems,” International Journal of Theoretical Physics, 64 (12), 323.

https://doi.org/10.1007/s10773-025-06172-6

Go to the profile of Leilei Shi
Leilei Shi
Financial Industry Adviser, 1) University of Science and Technology of China; 2) Beijing SDF Science & Technology Co., Ltd.

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Quantum Correlation and Entanglement
Physical Sciences > Physics and Astronomy > Quantum Physics > Quantum Correlation and Entanglement
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Physical Sciences > Physics and Astronomy > Theoretical, Mathematical and Computational Physics > Mathematical Physics > Quantum Theory
Quantitative Finance
Mathematics and Computing > Mathematics > Applications of Mathematics > Mathematics in Business, Economics and Finance > Quantitative Finance
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Physical Sciences > Physics and Astronomy > Theoretical, Mathematical and Computational Physics > Complex Systems
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