The phrase "oblivious to time" is grammatically correct and can be used in written English.
It means not aware of or not paying attention to the passing of time. Example: The elderly couple sat on the porch swing, lost in conversation and seemingly oblivious to time as the sun set behind them.
Adults, too, become oblivious to time during the activities that most fully engage them.
When painting, "I become oblivious to time and the necessities of life".
Against the speeded-up color photography, in which clouds race above the building and shadows creep up and down the facade, the ghosts move at normal speed, caught up in their individual dramas, oblivious to time.
In fact, the movie is so oblivious to time (much of it seems to be set in the 1960's) and the characters' nationalities (Kuki and Paolo speak English but we're told almost nothing about their backgrounds) that it might as well be taking place in a bubble.
Edited by Gunnar B. Gudbjornsson and graded with VFX by Michael Todd, the final film appears oblivious to the time, energy, and cost spent on the part of the crew, actresses, and especially Von-Sometime.
If we come across dead bodies on our screens, we can still turn them off and at least attempt to be oblivious to the times.
Dotcom seems oblivious to irony at times.
Miyazaki roams the ateliers in his craft apron, trying to pass on 20th-century etiquette to the kids inking The Wind Rises' fuselage; outside, blossom falls and commercial pressures mount, oblivious to the exacting, time-intensive work required to conjure such committed images from scratch.("Most of our world is rubbish," sighs Miyazaki, making any number of recent digimations blush).
Even though nobody's popped molly since Ultra 2013, they're completely oblivious to how the times have changed.
Keep going, oblivious to the ravages of time, in the pathologically stoical manner of Sylvester Stallone.
No one in the crowd could have been oblivious to the echo across time of the words that had rung out from the other end of the National Mall 45 years previously.
