The idea of our six senses not picking up on everything, I think, is correct. I mean, just look outside at some object that is not transparent, such as a mountain. You can clearly see the mountain, but what about the little concealed canyon half way up the mountain? It is obscured from your sight by the geometry of the mountain. The information about the existence of that canyon is clearly missing from your five senses due to the unique perspective at your location on the ground. However, say that your friend, Dr. Nash, is halfway up the mountain at a unique position, perhaps information about the existence of the little hidden canyon reaches his five senses, being that, he is located at a position that gives him the proper perspective to sense the canyon. However, from his position, he can not see the cliff on the opposite side of the mountain, but your position gives you the proper perspective to sense the cliff on the side of the mountain. So Dr. Nash has part of the information about the mountain of truth, and you have some of the information about the mountain of truth. The sum of the two truths is closer to the ultimate truth of the mountain.
You can tackle this from another perspective: Your senses does not give you information about the entire mountains surface; however, it does give you quite a bit of information about the mountain. It may be possible in some cases to piece together the information in order to deduce a consistent, unchanging, pattern. Say you have 78% of the information about the one side of the mountain you are viewing. Suppose that when you piece together that data, you find a solid pattern that defines all 78% of the information that you have collected via your senses. Then you may formulate an equation to define the data you have collected. In such a case, it is reasonable to hypothesize that the other 22% may be ascertained without the use of your senses by merely plugging in your equation to solve for the missing data.
I like your idea about the symbolical nature of physics: that perhaps certain forces are merely icons from some underlying series of logic statements, say a series of cosmic 1's and 0's.
Consider the following:
You look into a painting of the leaning Tower of Pisa. What do you see? Well you see a three-dimensional landscape transcribed onto a two-dimensional surface. But it is not the three-dimensional leaning tower of pizza (I like domino's myself, ha, ha) that you see, but an image of the three-dimensional leaning Tower of Pisa and landscape that has been re-concocted in the mind of the artist. So, what you are actually seeing is the image of a landscape in the imagination of another person. This landscape is "imaginary," indeed. Now suppose for a moment that you have two friends: One is computer graphics artist that double majored in photographic chemistry, and the other is a professional photographer. Now over the summer, your friend, the photographer, goes on a vacation to Europe and stops by to take a photograph of the Leaning Tower of Pisa. Meanwhile, your computer artist friend get's an itch, and decides to create a computer generated image of the Leaning Tower of Pisa that is so realistic, that when printed, not even a chemist examining the printed image at the molecular level could tell the difference between the printed computer image and an actual photograph of the Leaning Tower of Pisa. So your friend, the photographer, returns from his trip, and the three of you get together and compare the actual photograph with the printed computer generated image of the Leaning Tower of Pisa, and you find that, indeed, the two photographs are identical in every respect. Now let's say that you have a fourth friend who is a philosopher, and a Mathematical Physicist, and he creates a special type of mathematics to define three-dimensional images that are transcribed onto two-dimensional surfaces. So at a party, your fourth friend takes one of the photographs and, just for the fun of it, puts together a system of equations that define the distances in the photograph that not only describes the distance represented in the photograph, but even accounts for the two-dimensionality of the photograph itself. Now you look at the photograph, and equations with amazement, but then realize that you don't remember whether the photograph you brought to the party is the photograph that your friend, the photographer took, or whether it is the printed computer generated image created from the imagination of your friend, the computer artist.
So, you ask your friend, the philosopher, whether the system of equations he created defines the two-dimensional image of the real Leaning Tower of Pisa, or whether his system of equations describe the two-dimensional image of the Leaning Tower of Pisa in the imagination of your friend, the computer artist. Your friend the philosopher replies, "I can not tell whether my equations describe the actual Leaning Tower of Pisa, or the one in your friend's, the computer artist, imagination; because, the photograph, and the printed
computer generated photograph are identical." and "My system of equations produces the same numbers for both images." "Based on this, the geometry describing the two-dimensional representation of the three-dimensional place your friend imagined, and the geometry describing the two-dimensional representation of that identical real three-dimensional place can not be distinguished." your friend, the philosopher, concludes.
What do you think? Is it possible that the two-dimensional representation of reality is numerically equivalent to the two-dimensional representation of a persons imagination?
Inquisitively,
Edwin