In my experience there's a real interplay between thoughts and feelings. The feeling in the body gives rise to certain thought patterns and those thought patterns reinforce the feeling state. By letting go of thoughts at times, seeing them for what they are and dropping into the bodily feeling, those feelings begin to release and wind down.
And not identifying with thoughts and having compassion for the difficulty of thoughts that do arise are both really excellent practices in my experience.
I think a better word than false for thoughts is illusory. A mirage is illusory, the details of the appearance can be more or less correct but on closer inspection it all dissolves away. Like 2+2=4 and 2+2=5 are both thoughts, one is more true than the other but they are both illusory.
person
From what I gather @Jeroen, thoughts can arise in an attempt to narrate the experience had by this karmically driven psychophysical phenomenon we call the self, they are also masters of illusion, often deluding this sense of self with make believe and when they do attempt to narrate the actual experience had, they never quite hit the mark, because of the constant state of flux/change the self finds itself in...Thoughts try to describe the indescribable aka reality...constantly changing experiences ...
Thoughts are always passing through the mind and our minds can often become charmed by them... This is when our developed Awareness( which comes from meditation practice) filters the thoughts, dismissing the unwholesome and nurturing the wholesome ones which can lead to/point towards the cessation of Dukkha/Unsatisfactoriness ...
Well that's the plan ....
Awareness is fundamentally non conceptual before thinking splits experience into subject and object... It is empty and so can contain everything, including thought... It is boundless, and amazingly it is intrinsically knowing
Shoshin1