"A Good Inscription"

Within Judaism, the New Year, which occurs in the fall for them occurs in the fall of the year, is more than a turning of the calendar. It is a time of renewing their faith and focus on G-d. One of the prayers is, "May it be Your will, Eternal our God, that this be a good and sweet year for us." Not all who are of Jewish decent believe in God; some are agnostic or atheists, and yet, many of those participate in the celebrations as part of their family traditions and also hope for "a sweet year" for themselves and their families. But for those who are G-d fearing, there is more going on, as Menachem Posner points out in Shana Tova, Rosh Hashanah and Yom Kippur Greeting:

“The Jewish new year is not just a time to renew our resolve to lose another fifteen pounds. Rather, it’s the time when our fate stands in the balance as G‑d reviews our past year and decides whether or not to renew our lease on His planet. As such, Jewish greetings for this time of year (the Jewish New Year is in the fall) reflect our prayers for a good, sweet year up ahead.”

Their eternal fate is hopeful but somewhat unknown. After G-d's review, will they remain and be in the Book of Life? Posner explains and gives the full meaning of their greeting to one another, “A good inscription and sealing [in the Book of Life].” He also points out something additional:

“From noon on Rosh Hashanah, when our fates are already written, until Yom Kippur, when our fates for the coming year are to be sealed, we wish each other “Gemar chatimah tovah” (גמר חתימה טובה), “A good final sealing.”

It is different for those who are in Christ. In Ephesians 4 Paul talks about how we should live toward one another and includes two reasons, "And do not grieve the Holy Spirit of God, by whom you were sealed for the day of redemption." (Ephesians:4:30And grieve not the holy Spirit of God, whereby ye are sealed unto the day of redemption.
See All...) Living badly toward other members of the Body of Christ grieves God, AND we are "sealed for the day of redemption." We are not up for an annual review to see if we are kept in the Book of Life for another year. Instead, we can praise and thank G-d that we have "a good final sealing" and pray for all of those who do not, whether they are Jews or Gentiles. "A good final sealing" is guaranteed to all who call on Yeshua for salvation. (Romans:10:9-13 [9] That if thou shalt confess with thy mouth the Lord Jesus, and shalt believe in thine heart that God hath raised him from the dead, thou shalt be saved. [10] For with the heart man believeth unto righteousness; and with the mouth confession is made unto salvation. [11] For the scripture saith, Whosoever believeth on him shall not be ashamed. [12] For there is no difference between the Jew and the Greek: for the same Lord over all is rich unto all that call upon him. [13] For whosoever shall call upon the name of the Lord shall be saved.
See All...)

https://mailchi.mp/b0ef5c8210e5/the-week-of-new-year-tidings?e=169825fd77