Dear Sir,
Your opening sentence is very interesting. We have partial knowledge about many things. Other have knowledge about some of it, part of which may be similar and partly different. Assuming all are correct, it implies that there is more to know and the limit on our knowledge of any subject can be boundless to include all knowledge on that subject. This can be said about knowledge on all subjects. We find a pattern in physics, where the infinite complexities are sought to be explained by a few particles and we are searching for a GUT. On the same analogy, we can think of a 'creator', who is the repository of all knowledge. As you say: All have infinite recursion, in both directions. Yes. We call extending from one to multitude as "science" and the opposite effect as "knowledge". For your "mathematical universe, physical and meta-physical universes and a creator", we call it matter, energy and conscious interpretation.
Your description of Jimal Khalili's 'Shut up while we calculate' is in conformity with the above view. Measurement or calculation or experiment are dynamical processes involving some kind of energy. Result of measurement is a static quantity. A process cannot be measured. Only after the process ceases (even in an intermittent level), we can measure it another static unit through comparison to get some scalar quantity. The static quantity is information, which must be cognized by an observer through measurement again. This implies, observer is also static at conscious level, though the observation has a material (hence mathematical and physical) and an energy (including meta-physical) component.
To explain the statement further, let us see what is mind. Think of a system at rest. It implies, all the forces acting on it are cancelling each other and with reference to its environment, it is "charge neutral". Now if one of the forces acting on it is disturbed, it will lead to a couple of motions: one in the direction of the force that was removed and the other the back reaction created by this motion on other parts at rest. It is like bringing a positive or negative charge near a charge neutral body. The point from where action starts is called mind. It acts like the sodium-potassium pump in our body. The external impulse starts a reaction that activates the mind both ways and the impulse is carried to the brain for processing.
We frequently compare mind with RAM and brain with HDD. Mind supports sensory instruments and reports to intelligence, like RAM supports applications (task). RAM has volatile memory and hangs from time to time if overloaded. Similarly mind goes to sleep if overworked. Intelligence is like CPU, which does the processing of all sensory inputs. Just like CPU cannot execute a program that is "not on the disc" and has not been loaded in the RAM, intelligence cannot act without mind. If memory speed is less than FSB, it takes too long to fetch an instruction or an operand. Similarly, mind shows dullness or brightness based on its species specific speed. Just like the CPU and RAM differ in processing capabilities (arithmetic dexterity) and storage capacity respectively even after the computer breaks down; different species show different levels of behavior. These are input, memory, processing and output related and not perception related (as "I know" or happiness, pain, desire etc.). Vital energy that starts breathing, which continues perpetually is like the power supply (electricity provided by a battery). The first breath is like the BIOS Chip, which boosts the computer and searches and loads the OS to RAM from ROM that cannot be modified, which is equivalent to memory content of the new born (such as to cry to draw attention of others when it is uncomfortable or to suckle the nipple when it is brought near its mouth when hungry and many such first time behavior, which has not been experienced by it since birth). First breathing is like first boosting of the computer. Like Consciousness, OS is same for all computers, but BIOS varies from computer to computer. Similarly, consciousness in all living beings exhibits itself through DNA coding, which is species specific. It is a program semi permanently stored into one of the main chips. The OS creates virtual memory in HDD by creating a page-file when the system runs out of RAM. Similarly, we recollect more recollections correlated with greater connectivity among different regions of brain. Sometimes "over-clocking" boosts up OS speed. Similarly, suddenly we have bright ideas.
More RAM directly increases the amount of applications run simultaneously, faster loading time, faster boot up, and overall greater boost through all aspects. Greater brain size and surface area (creases) does the same for living beings. The better the CPU, more information can be processed at a time. Similarly, better intelligence can take faster decisions. The better the HDD, the faster the information can be passed on to the processor. The bigger the HDD, more information can be stored. The bigger the brain surface area, the faster and better operations could be performed. The CPU processes information in computers using logic gates. Intelligence does the same thing through sensory agencies. CPU directs RAM to do what is important. RAM can provide inputs, but cannot directly take decisions. Intelligence takes decisions based on inputs provided by mind only. When switched off, RAM becomes empty. CMOS battery keeps the CMOS alive the chip even when the computer is turned off. Similarly, intelligence remains active even in deep sleep. This way, macroscopic phenomena are connected to the brain's known neural activity. But when someone says "macroscopic quantum phenomena", we are at a loss. If it is macroscopic, it cannot be quantum. If both are the same, both these terms are superfluous.
There are differences between brain's software and computer software. A computer can simultaneously test for more than one condition or execute multiple commands. But the brain cannot do so. They follow sequence of logical efforts first and knowledge of such efforts later. Computers run on standard/special programs, which are soft, i.e., flexible to be instantly reprogrammed. These are put to the hardware to become operational. Similarly, the body matter including the bacteria, neurons, DNA, microtubules, etc., are hardwires that operationalize the life's software. But who writes the program? Only conscious beings can initiate action based on freewill. It is different from motion, which is a mechanical reaction. Thus, we have to admit a super consciousness outside all mechanical devices including robots.
The rest of your paper is extension of this concept through illustration. A thoroughly enjoyable exercise.
Regards,
basudeba