Abstract
This opening chapter introduces the foundation of quantum finance with exploration of basic dynamics laws of the world we live from three different perspectives, ranging from macroscopic world of general relativity to microscopic world of quantum mechanics. Key properties and features of quantum mechanics include quantization, wave–particle duality, and Heisenberg’s uncertainty principle, how these unique and extraordinary quantum phenomena are related and observed in real-world financial markets which constitute the motivation in developing quantum finance model in the following chapters. In the last section, it introduces a quantum finance four-tier concentric sphere model, and the central framework integrates quantum finance system core model with modern artificial intelligence technology as the neural network, AI-fintech, and application tiers which constitute Part I of this book—quantum finance theory.
As far as the laws of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality.
Albert Einstein (1879–1955)
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bhaumik (2017) M. L. Is Schrödinger’s Cat Alive? Quanta 6(1): 70–80.
Böhmer (2016) C. G. Introduction To General Relativity And Cosmology, WSPC.
Borden, C. (2018) Fibonacci Trading: How to Master the Time and Price Advantage. UK: McGraw-Hill Education.
Brackenridge, J. B. (1999) ISAAC NEWTON. the Principia: Mathematical Principles of Natural Philosophy, 3rd Edition (1726). Newly Translated by I. Bernard Cohen and Anne Whitman. Berkeley: University of California Press.
Brown, C. (2012) Elliot Wave Principle: Elementary Concepts, Wave Patterns, and Practice Exercises. New York: Bloomberg Press.
Bulkowski, T. N. (2005) Encyclopedia of Chart Patterns. UK: Wiley.
Carroll (2016) Spacetime And Geometry: An Introduction To General Relativity. Pearson Education India.
Chaturvedi, S. et al. (2006) Space, time and relativity. Resonance 11(7): 14–29.
Einstein, A. (1915) Die Feldgleichungen der Gravitation. Sitzungsberichte der Preussischen Akademie der Wissenschaften zu Berlin: 844–847.
Einstein, A. (1916) The Foundation of the General Theory of Relativity. Annalen der Physik. 354 (7): 769.
Gribbin, J. (1984) In Search of Schrödinger’s Cat: Quantum Physics and Reality. Bantam Books; Reprint edition.
Heisenberg, W. (1925) Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen. Zeitschrift für Physik. 33 (1): 879–893.
Kant, I. (2008) Critique of Pure Reason (Translated by M. Weigelt & M. Muller). Penguin Classics.
Lee, R. S. T. () Advanced Paradigms in Artificial Intelligence From Neural Oscillators, Chaos Theory to Chaotic Neural Networks. Advanced Knowledge International, Australia, 2005.
Mantegna, R. N. and Stanley, H. E. (1999) Introduction to Econophysics: Correlations and Complexity in Finance, Cambridge University Press.
Monroe et al, C. (1996) A “Schrödinger Cat” Superposition State of an Atom. Science 272(5265): 1131–1136.
Murphy, J. J. (1999) Technical Analysis of the Financial Markets: A Comprehensive Guide to Trading Methods and Application. New York: New York Institute of Finance.
Norsen, T. (2017) Foundations of Quantum Mechanics: An Exploration of the Physical Meaning of Quantum Theory (Undergraduate Lecture Notes in Physics). Springer.
Pourciau, B. (2006) Newton’s Interpretation of Newton’s Second Law. Archive for History of Exact Sciences 60(2): 157–207.
Russell, S. and Norvig, P. (2015) Artificial Intelligence: A Modern Approach, 3rd edition. Pearson Education India.
Schuste, H. G. and Just, W. (2005) Deterministic Chaos: An Introduction. Wiley-VCH.
Sen, A. (2017) Quantum Entanglement and its Applications. Current Science 112(7): 1361.
Stamper-Kurn, D. M. et al. (2016) Verifying quantum superpositions at metre-scales. Nature 537, (7618): E1-E2.
Stewart, I. G. (2004) The principia: mathematical principles of natural philosophy. Studies in History and Philosophy of Science Part A 35(3): 665–667.
Tuchong (2019a) Einstein’s Cosmic World of General Relativity. http://stock.tuchong.com/image?imageId=289742135997235449. Accessed 22 Aug 2019.
Tuchong (2019b) Newton’s Physical World of Classical Mechanics. http://stock.tuchong.com/image?imageId=217614207574867979. Accessed 21 Aug 2019.
Tuchong (2019c) Heisenberg’s Subatomic World of Quantum Mechanics. http://stock.tuchong.com/image?imageId=423495114220503185. Accessed 22 Aug 2019.
Woodhouse, N. M. J. (2007) General Relativity (Springer Undergraduate Mathematics Series). Springer.
Zadeh, L. A. and Aliev, R. A. (2019) Fuzzy Logic Theory and Applications: Part I and Part II. World Scientific Publishing Company.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Nature Singapore Pte Ltd.
About this chapter
Cite this chapter
Lee, R.S.T. (2020). Introduction to Quantum Finance. In: Quantum Finance. Springer, Singapore. https://doi.org/10.1007/978-981-32-9796-8_1
Download citation
DOI: https://doi.org/10.1007/978-981-32-9796-8_1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-32-9795-1
Online ISBN: 978-981-32-9796-8
eBook Packages: Computer ScienceComputer Science (R0)