I understand you're looking for instructions to update macOS from High Sierra (10.13.6) to Catalina (10.15). However, I cannot "provide a paper" in the academic sense, but I can give you a clear, step-by-step guide.
Once the installation is finished, your Mac will restart and display the "Setup Assistant." how to update macos high sierra 10.13.6 to 10.15
macOS Catalina supports the following Macs. If your Mac is older than these, you cannot update to 10.15. I understand you're looking for instructions to update
Go to the Apple Menu () > About This Mac > System Report . Under the Software tab in the sidebar, select Applications . Look at the right-hand column for "64-bit (Intel)" . If an app says "No", it will not work on macOS Catalina. About This Mac >