God promised never to do an event such as the flooding ever again. How can judgement day happen then?
Wouldn't that break the promise?
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The promise was specific to flooding:
11 I establish my covenant with you: Never again will all life be destroyed by the waters of a flood; never again will there be a flood to destroy the earth.” - Genesis 9:11 NIV
Your interpretation of this as 'an event like flooding' is not warranted by the text and is contradicted by other scriptures that do talk of how God will conclude his final judgment, eg:
3 Above all, you must understand that in the last days scoffers will come, scoffing and following their own evil desires. 4 They will say, “Where is this ‘coming’ he promised? Ever since our ancestors died, everything goes on as it has since the beginning of creation.” 5 But they deliberately forget that long ago by God’s word the heavens came into being and the earth was formed out of water and by water. 6 By these waters also the world of that time was deluged and destroyed. 7 By the same word the present heavens and earth are reserved for fire, being kept for the day of judgment and destruction of the ungodly.
8 But do not forget this one thing, dear friends: With the Lord a day is like a thousand years, and a thousand years are like a day. 9 The Lord is not slow in keeping his promise, as some understand slowness. Instead he is patient with you, not wanting anyone to perish, but everyone to come to repentance.
10 But the day of the Lord will come like a thief. The heavens will disappear with a roar; the elements will be destroyed by fire, and the earth and everything done in it will be laid bare.
11 Since everything will be destroyed in this way, what kind of people ought you to be? You ought to live holy and godly lives 12 as you look forward to the day of God and speed its coming. That day will bring about the destruction of the heavens by fire, and the elements will melt in the heat. 13 But in keeping with his promise we are looking forward to a new heaven and a new earth, where righteousness dwells. - 2 Peter 3:3-13 NIV (emphasis added)
If we add even the smallest (what we might consider trivial) additions to the text, it becomes very easy to come to a false interpretation - it is strongly adviseable to resist any temptation to do this, but rather to closely examine the text for what it actually does say (many people find that praying and asking God's help to do so is extremely beneficial in this process), as well as trying to understand it in the overall context.