Basudeba
"please note that information is the result of measurement"
Not necessarily. Light, etc, is inherently information, as it is a representation of something else. It does not need to be measured to be so. Neither is the generation of information solely confined to the activity known as measurement. Any judgement/statement/perception/whatever involves comparison to identify difference. The question as to whether the resulting information is correct or not, ie in correspondence with reality, is another matter.
"The field set up by our eyes is similar to the field set up by the light emitted by the object. Hence they are perceptible only to the eyes and not to the face or the wall. This is the physical circumstance"
Not so. How your eye receives the light, and then thereafter, is irrelevant. The physical circumstance is what is received. A brick in the same spatial position at the same time, ie instead of the eye, would receive the same light, it have just not got the necessary ability to process what is received. Light does not anticipate what it is going to come into contact with, neither does it only travel to entities which are capable of processing it if received. Reception is purely a function of being in the line of travel of.
"Whether space and time are continuous or not? If you say they are digital, then how are they connected to make themselves meaningful?
You have not understood what I have said. First it is not time and space, but physical existence. Second, physical existence, while it exists (ie is 'digital', but better words are discrete and definitive) is not continuous. Otherwise it would be one physically existent state ad infinitum, which it obviously is not. What is 'continuous' is the process of alteration whereby a different state occurs, which supersedes the previous one. It is sequence, with only one state in existence at a time. Look at that bush in your garden. There are visible changes to it. Put it under an electron microscope and more are revealed, etc. So what is ultimately happening? Answer: what we call bush is a sequence of physically existent states of whatever comprises it. There is only one at a time. The bush of one size, colour, leaves/berries on, etc, does not co-exist with the bush that is different, and that applies at the elementary level, not just at the level of what we can discern. What causes the alteration is another matter.
"If something connects them, that thing fills the interval. The interval itself is space and time"
Not so. There is no 'something connecting them'. Space is what is required to 'accommodate' any given physical entity, or distance is the difference between entities in terms of spatial position. These entities having to be physically existent states which are existent at the same time, because there cannot be a spatial difference between something and something else which does not exist. Time is concerned with the duration of turnover, ie the rate of change in reality.
"Similarly, the road we walk on is continuous"
Not so. We conceptualise existence at a much higher level than what occurs. That is, we conceive of things in terms of superficial physical attributes. And so long as those pertain, we deem the thing to persist in existence. Indeed, we even contradict that, since if an attribute alters, then we say the thing has changed. Which is a contradiction because it is no longer the thing, it is something different. And at the existential level, ie not the superficial categorisation, existence is constantly altering in many different ways. In other words, the concept of 'object' is ontologically incorrect. That car and that road are different physically existent states of something at different times. They just look the same thing at a superficial level.
Whether the wave comprises something which of itself alters position, or whether there is something else which transfers something, is irrelevant. My point was that the concept of wave involves different physically existent states over time.
Paul