The basic question is, to what extent does the universe impose specific physical forms and processes on us and to what extent does the mind or "conscious window" impose restrictions on what phenomenon we're capable of witnessing and understanding?
I'm going to start off with a simple hypothesis:
1) Everything exists. (Yes, this includes both abstract relationships as well as physical objects and all the processes they could be a part of as well a myriad other rational and irrational and crazy things etc.)
Now let's see if we can make better sense of this by doing some introspection on what it is to be human (yes, my hypothesis also assumes we're a couple people who can share some communication about this - hence why it's a post on the internet)
I'll list some other things I believe are self evident.
a) The mind is only capable of recognizing "rational" processes and restricts the classes of processes that can be "rationally" detected. ("Rational" in this case closely corresponds to what types of computations are possible via. "universal computation" - most any system of computation can be transformed into an alternate system with different internals that calculates an identical output, given enough time - Yes, you could theoretically build a mechanical machine that would run Windows if you gave it enough time and energy).
Because these systems can all provide equivalent means of calculating a "rational" answer, it's best to stick with only a few operations like (though not all operations are equally efficient at calculating something)
If you can perceive two objects as separate, they don't share all traits identically - for example, you might imagine two electrons would be identical, but if you can see two then they differ in time or location and at least one dimension/attribute is not the same (though you, as an observer can provide this difference and make one electron appear as two, but still they aren't seen in an identical context or they truly would be identical in all ways and be only witnessable as one thing - there's only one electron concept and it's entirely unique).
Also, I'll try to use an example of "everything" being viewed physically, specific by specific from the inside, whereas the mind attempts to find correlations and fold or compress observations into their smallest representation - from the physical inside things can appear vast, while from the outside they can appear very small.
Now let's start finding some symmetry first to show how "everything" can appear physically and mentally.
Because everything is constructed of all possible relationships between "things", including their compliments, each thing has a unique opposite and all possible relationships are filled entirely. There is no missing "thing" in everything and so you can continually fold all relationships in half, matching one thing against a complimentary aspect it could be seen as perfectly uniform and mentally compressible to a point.
Now you might assume that everything could contain a greater number of one thing than something else, but that concept of having a specific number of something is also a concept that has a matching compliment (besides, two identical things can only be seen as one thing because you can't interact with one of them and then stop interacting with the next, in order to separate them, because then they're influences are truly not identical. Each concept or moment once entirely specified becomes a unique point in the infinite dimensional "everything", without quantity).
From the physical inside a perfect everything is vast and uniform and has no specific reference point from which to measure it. It's a vast void of nothing (in specific).
-------------------------------------------
Now the asymmetries come into play when make physical observations. A physical observation randomly detects one thing at a time (that thing could be a specific conscious moment or an interaction between two particles etc.).
Because everything is infinitely more complex than an observer, an observer can't select a specific relationship or unique thing out of everything, simply because the complexity of even a minute part of it is infinitely more complex than the observer. In this case, the observer can't select any specific thing but instead detect something that the observer proceeds to relation to prior observations.
The probability of receive any specific "thing" is infinitesmally small and close to 0. We'll call it 'p' (which could be seen as 1/# of "things" in everything).
The reason why one thing alone can't be seen physically, is because one thing in itself is infinitesmally unlikely to be witnessed, though once you calculate the ratio of seeing one thing versus something else, the ratio is 1:1.
p~=0 (the density of a unique thing to everything)
p/p=1 (For the math types out there, this is the density of an N dimensional thing to another N dimensional thing - we're working with degrees of infinity here, for example p^3/p^2=p)
1/p~=infinity (the ratio of everything to a unique thing)
If you try to find an underlying non-uniform fundamental probability of one thing existing versus another, you're stuck making many assumptions. For example, are protons and electrons equal in number? Instead realize the fundemental concept of one is just as significant as the fundamental concept as the other, and the same goes for red bananas, because an infinite number of indentical things can only appear as a single thing. The observer creates a bias by prior random selections - the creation of asymmetry is in the random selection of a subset of everything and associated mental construction of a model. The mind tries to learn everything from an undersampled representation of it.
Now let's start off with an observer's first "thing". In that instant, there's nothing to "do" except observe. Even if the observer had some control over what this observation was to be, there was no extended knowledge of everything at that point and the selection is entirely meaningless and without reason (irrational).
There's also no freedom for an observer to create a relationship between it and anything else and no ability to remember the experience as it had no relationship to a past. It's truly a mental point and a physically infinite void. In that instant, it would a lot like 'you', but stretching through time and without any defining attributes except the existance as a 'thing'.
Now this can also be seen as a single attribute with which to interact with the rest of the universe, though with only being connected to a single attribute you can't do this because you can't flash morse code or otherwise altering without becoming something else, and there's no extended relationship with anything else, so we can just call it a symbol - 'A'. 'A' could have never existed in isolation or spent most of eternity in isolation and there would seem no way for 'A' to know the difference.
Now you get the second symbol we'll call it 'B', and it can be considered a physical experience with a memory because it can now be seen as coming after 'A'. You can experience/draw a connection between the two an record it as an event in time, but you still have no ability to do anything except observe (or at least, only knowing of 'A' before gave you no extended directions in which you could rationally select something related to it - the only limitation for 'B' was that it couldn't be identical to 'A'). So this could be seen much like the instant of physical birth in which sensation is possible but no rational perception of a will or intelligence is available. Also, no physical 3 dimensional perception would be possible either as it would appear only appear as a line between two points - a forward motion. Also, you could alternate between witnessing 'A' and 'B' an infinite number of times without an ability to detect anything other than the start and end points. So a lot could actually happen, but whenever you can only detect two states, you're either at the beginning or the end and the number of times you cycle between them wouldn't be possible because it requires you to be able to have a representation for that cycling.
Mentally, you could see it as two point, but physically it's the first dimension - time.
Now once you receive a third thing, you can now perceive 3 dimensional spacetime and potentially have the ability to communicate with others. The perception of a conscious will and the ability to make a decision come into play because you have a choice how you relate that third thing to the other two.
For example, with two symbols you could potentially transmit binary information by selecting one and then the other, but you can't truly do this because you can't demarcate where one symbol ends and the other begins. For example, if you wanted to transmit the sequence AA. You'd have no state to determine whether you displayed A once or twice, so you only have two unique choices, to either alternate showing A then B then A etc. and get stuck toggling between these because you have no symbol to indicate what you did before or to remain transmitting the current symbol (and I believe you can show that it doesn't matter which one - your only visible external state would be to either oscillate between the two or remain unchanged - a wave of light or empty space). Also there's no way for you to both detect time and witness information if only two symbols are available as you'll always witness a continual oscillation between A and B because again, you have no way of know whether or not you saw the same symbol multiple times.
But with the third symbol available to interact with you can transmit and detect binary streams of information over time. For example, you could transmit a binary stream of information as well as a symbol to denote time by this table:
Transmit 0
A->B
B->C
C->A
Transmit 1
A->C
B->A
C->B
If you look at it like 3 positions on a circle, you can rotate either forwards or backwards and also determine when a step occurs.
In this case you can experience bidirectional and controllable communication via. 3 dimensions/attributes/things. Though it's interesting to consider that what you communicate with may not use those same attributes to communicate with something else, though you can communicate through something and effectively utilize those extended attributes to make further explorations. So for example, you might do an experiment where you test whether or not a rolling ball experiences friction. You can't directly sense the friction, but you communicate via. your spacial perceptions with the ball, that communicates with the surface that it's rolling on, in a bidirectional manner, but in this case you had to share at least 3 dimensional features in order to experience a bidirectional communication over time with it and it has to share the attribute friction as well as at least two other dimension with whatever it's envisioned to communicate with, in order that you can effectively see through the 3 ball features to access the friction attribute. You've then extended your network of understanding and effectively your physical senses beyond what they were by understanding and creating a mental relationship between these concepts.
No matter what concepts/attributes/dimensions of 'everything' you interact with, they are only a coherent subset that are possible to be witnessed in common.
------------------------------------------
I won't be on-line much next week and have a large number of other thoughts along these lines but I'll just post some things to mull over for those interested:
Science, as a social institution is limited by its own nature to addressing shared, recurring and physically communicable phenomenon. This imposes limits on the realm of scientific knowledge to periodic, predictive and at a minimum 3 dimensional phenomenon. If you can't communicate something, it's not within the realm of science (as a collective institution at least, though individuals can still attempt to apply scientific ideals to their personal experiences).
So if we were to ask the question of why the wavefunction of light is sinusoidal, we can at least rule out many other possibilities - a non-repetitive waveform would not be a shape that could be repeated, communicated and demonstrated to others (in fact if light had no coherent features, we couldn't see, so obviously a structure must be present).
But if you look a bit deeper you'll find that the wave function of light is a mental creation and not necessarily an imposed physical one. As a rough example, I could roll two dice and measure the distribution of the sum of these and see a triangular shape with 2s and 12s being rare but 7s being very common. Each die actually rolled a uniform distribution from 1 to 6 with no bias in value but it was the mentally imposed measurement of the sum that created a non-uniform bias to the distribution.
You can look at the number of quarks possessed by light and matter and find very similar traits with communicating by 2 or 3 symbols respectively (space is likely composed of single symbols).
If you look at the Taylor series expansion of many functions, you can see both an exponential as well as a factorial component. Now imagine a wave spreading through a network of relationships and the amplitude being influence by both its dispersion through the network (a factorial) as well as recurring feedbacks, creating exponential components.
Why does energy appear to be conserved? (You can think this one over if you want, but if not, here's a great one - ) Energy represents detectable information and any relationship that destroyed it could do so only once - basically resonant structures, with feedback are able to retain and amplify characteristics more than self damping systems.
If you view the physical senses as building connections of physical relationships in order to "see further", the mind communicates through a network of such relationships built upon each other that gives the physical appearance of wave like characteristics travelling at light speed - you can't see faster than light only because that's what you haven't seen yet. The subjective limit for time is that you can't see more than one thing at a time, or alternately the probability of seeing one thing is p, whereas the probability of seeing two things simulateously is p^2 and infinitely less likely, without rescaleing observations somehow.
I know these are just lots of observations without being tied strongly together, and I apologize for not following through on a stricter development on the idea here, but I don't have much time right now and wanted to at least get the thoughts out there for whoever else is interested in this stuff.




