Abstract
In this position paper we present a novel mathematical framework for building metaverses, which is a potential way to unify reality and virtuality to create a cohesive whole universe. We argue that the nature of metaverses is inherently mathematical, and propose that the system of complex numbers could play a key role in constructing them. Specifically, we provide context for our argument and offer a supporting example, the analytic signal, to demonstrate how to construct its imaginary counterpart with the Hilbert transform to a given real signal and how to unify them to form a cohesive complex signal that facilitates the analysis of local dynamic behaviors of the signal. This framework has significant potential for building a metaverse. By leveraging the power of complex numbers, one can create a unified mathematical system that merges the physical and virtual worlds. We believe that this proposal will inspire further research and development of metaverses in this field and that our framework will contribute to the construction of a metaverse that offers unprecedented levels of interactivity and immersion.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Bracewell, R.: The Fourier Transform and its Application. McGraw-Hill (1986)
Dourish, P.: Where the Action Is. The MIT Press (2004)
Granlund, G.H., Knutsson, H.: Signal Processing for Computer Vision (2008)
Yotaro, H: Graphical Method of Learning Mathematics, Nankai Press House (2008)
Heidegger, M.: Being and Time. Harper & Row (1962)
Penrose, R.: The Road to Reality. VINTAGE BOOKS (2004)
Meta Wikipedia Homepage .www.en.wikipedia.org/wiki/Meta. Accessed 3 Mar 2023
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Li, H. (2023). Unifying Reality and Virtuality: Constructing a Cohesive Metaverse Using Complex Numbers. In: Meng, X., et al. Spatial Data and Intelligence. SpatialDI 2023. Lecture Notes in Computer Science, vol 13887. Springer, Cham. https://doi.org/10.1007/978-3-031-32910-4_18
Download citation
DOI: https://doi.org/10.1007/978-3-031-32910-4_18
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-32909-8
Online ISBN: 978-3-031-32910-4
eBook Packages: Computer ScienceComputer Science (R0)