Science has been sticking to that view since around Newton. But it's actually beginning to slowly change now, as time-independent physics might be a reason why our theories work very well in specific areas, but tend to break down in a more holistic approach.

See the work of physicist Lee Smolin in Time Reborn (https://www.amazon.co.uk/Time-Reborn-Crisis-Physics-Universe...) on why time and information might be the most fundamental concepts.

This does not mean though that we experience time in the same way - far from it. Just that passage of time is fundamental to information processing.