Basudeba,
"Hence we define reality as the invariant aspect associated with all objects and consistent with other universal physical laws (existence), that can be perceived as a concept (knowability) and expressed through a language (communicability). Since the three aspects are related, anything showing these characteristics is real."
Yes. I fully understand that has been our dominant convention and familiar habit. My proposition is that this convention leaves no room for distinguishing actual physical reality (nature itself) from the systems of symbols and concepts we have invented and assigned to 'represent' it and 'model' it's evolution.
As it's been said, it will take a computer the size of the universe to precisely model the evolution of the universe. Our computers and brains are smaller, but we have grown familiar with thinking the results of computations ARE equivalent to nature. We've become so familiar with that position that it no longer occurs to us or seems reasonable that the difference may be important. I am pointing out that the difference CAN be important, so must be identified. Also then that you have not yet falsified the proposition you said was false when considering (as I specified) the strictly 'physical', as opposed to 'metaphysical' where A=A.
So I am drawing Dirac's 'Line', shocking though it may be. Can you suggest a different position for the line? Or different descriptions than 'Physical' and 'Metaphysical' to make the unfamiliar look more palatable?
Peter