Skip to main content

Unifying Reality and Virtuality: Constructing a Cohesive Metaverse Using Complex Numbers

  • Conference paper
  • First Online:
Spatial Data and Intelligence (SpatialDI 2023)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13887))

Included in the following conference series:

  • 345 Accesses

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Bracewell, R.: The Fourier Transform and its Application. McGraw-Hill (1986)

    Google Scholar 

  2. Dourish, P.: Where the Action Is. The MIT Press (2004)

    Google Scholar 

  3. Granlund, G.H., Knutsson, H.: Signal Processing for Computer Vision (2008)

    Google Scholar 

  4. Yotaro, H: Graphical Method of Learning Mathematics, Nankai Press House (2008)

    Google Scholar 

  5. Heidegger, M.: Being and Time. Harper & Row (1962)

    Google Scholar 

  6. Penrose, R.: The Road to Reality. VINTAGE BOOKS (2004)

    Google Scholar 

  7. Meta Wikipedia Homepage .www.en.wikipedia.org/wiki/Meta. Accessed 3 Mar 2023

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Haibo Li .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

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)

Publish with us

Policies and ethics