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Unifying Classical and Quantum Physics + Quantum Fields and Gravity

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Geometric Methods in Physics XXXIX (WGMP 2022)

Part of the book series: Trends in Mathematics ((TM))

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Abstract

For both canonical quantization and affine quantization, which are reviewed, the bridge to reach each other is largely created from coherent states for each quantization procedure. In so doing, we find that affine quantization can help both field theories and gravity.

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Notes

  1. 1.

    We could have removed q = −b < 0 and kept only q + b > 0. That leads to \(d_b=p(q+b)\Rightarrow D_b=[P^\dagger (Q+b)+(Q+b)P]/2=D_b^\dagger \), etc.

  2. 2.

    The 2ħ2 numerator term has been recently promoted from (3∕4)ħ2 after further analysis. Clearly, this change boosts the contribution of the ħ term to the final result.

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Author information

Authors and Affiliations

  1. Department of Physics and Department of Mathematics, University of Florida, Gainesville, FL, USA

    John R. Klauder

Authors
  1. John R. Klauder
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Correspondence to John R. Klauder .

Editor information

Editors and Affiliations

  1. Departamento de Física, CINVESTAV, Ciudad de México, Mexico

    Piotr Kielanowski

  2. Faculty of Mathematics, University of Białystok, Białystok, Poland

    Alina Dobrogowska

  3. Departments of Mathematics, Physics, Learning & Teaching, Rutgers University, New Brunswick, NJ, USA

    Gerald A. Goldin

  4. Faculty of Mathematics, University of Białystok, Białystok, Poland

    Tomasz Goliński

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Klauder, J.R. (2023). Unifying Classical and Quantum Physics + Quantum Fields and Gravity. In: Kielanowski, P., Dobrogowska, A., Goldin, G.A., Goliński, T. (eds) Geometric Methods in Physics XXXIX. WGMP 2022. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-031-30284-8_19

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