Location-Dependent Gain

[DoYouKnow]

In a transistor, one circuit can switch another circuit on or off, or scale the voltage of that circuit by a certain percent. Gain in this case is voltage gain between the two subcircuits of the transistor.

In a staged fusion microexplosion, one fusion microexplosion can trigger another one, where the gain in this case is the energy gained by the conversion of subsequent larger amounts of mass to energy, the input is the energy released by the previous stage which is channeled to the current one, and the output the release of the current stage.

Equivalently, the first concept can be put in terms of the second concept as a transistor where the binding energy forms one circuit and more indirectly related conversions of energy down the chain, such as the energy of the previous stage form another circuit. The conversion of mass to energy of one subset of matter gates the conversion of mass to energy of another subset of matter.

Might there be a way of writing the pressure along the x, y, z, and t axis in Einstein's General Theory of relativity as a sort of iterated function itself, like the conversion of energy in staging, except this would be the metamorphisis of pressure from electromagnetic to gravitational, or gravitational to weak?

Is implosion, like in radiation implosion, a natural way of transferring energy from one form to another?

The binding frequency (40 hz) relates distant part of the visual field, as a natural mechanism for memory in the brain, similar, perhaps, in some senses to a staged radiation implosion, where different masses are gated by by other ones. In this case, you have one part of the visual field's perception gated by another part of the visual field. So that, based on what we see in one part of the visual field we form biases about the other parts.

My question is, is there a function that describes gain in the visual field, in the same sense that there's a function that describes gain in radiation implosion, or a transistor. My thinking is that in this case you would have a space where points of a certain granularity radiate outward to many other points. This is an large-dimensional dimensional vector space, in terms of a connectivity graph, and each node on this connectivity graph may be related to another node by a formula for gain in the visual field. Assuming that the circuit for visual perception is dense to an extent that's defined by your alertness, and approaching infinity for an infinitely alert individual, what is the geometry of these cells of alertness? Do they form a plane tessellation? Furthermore, is there a formula for gain between any two points in that plane tessellation?

Is the causal relationship between any of those two patches of the tessellation given by the minkowski metric (light cone)?

Generalizing this to memory, is there a formula for gain of one mathematical signal representing a memory, in terms of its reinforcement though another memory or signal?

It seems likely to me, that memory is really a sequence of dynamic transformations of energy within the brain, and consciousness is a result of that.

The formula for gain would be determined by these variables
K = Perception * Alertness * Degradation

In cases where perception = alertness = degradation, the gain is said to be in perceptual equilibrium, where the unit of information content in the visual field, and the size of the visual field, determines Perception^3.

Infromation content of visual field (bits/cm^2) * size of visual field (cm^2) = Perception^3

So, the Perception component of Information Gain gives n bits^3.

bits^3 is our relevant unit for gain.

[SteveA]

Thank you for the post. Yes, all information arises consciously and this could be a perception of creative influences.

With respect to perceptual informational components related to positional information and alterations of information via. mental context, consider something like a visual void (we could see it was composed of some number of inactive optical nerves, but this would require us to first be able to see or interact with the space in which they exist and so we have to begin with conscious experience first to define the region of space we're referring to).

Anyway, if we had some quantity of positions in this visual surface that could be viewed - let's just say there were only 5 locations that could be observed and if we treated this as a binary field of information and any of these locations could be either white or black, then there are 2^5=32 possible combinations.

Notice that this requires that such a viewable space preexist the observation though and that these locations remain with a fixed position or order in this visual surface.

If we were to simply list every possible position in this visual field/surface, we could construct a 1 dimensional ordered set of viewable positions in this field.

Now if we have all of these positions black, except for a single white position, then the information provided by this would be in terms of 1 of n possible states, where n would be the total quantity of viewable positions.

Notice that n may not be a power of 2 and so this representation would not necessarily have a uniform binary representation. If we placed a single white point within a field of 5 black positions, this conveys information in terms of 1 of 5 positions. If we then placed a second white position in this, we'd have 4 remaining positions to place it. If we did not have information regarding which white position was first and which was second, then interchanging these would appear identical and we'd have the total number of distinguishable states become 5*4/2=10. Notice that the placement of the second point only doubled the "informational space" from 5 possibilities to 10 possibilities and we could see the second one as making a binary selection between two possible groups of 5 states, and this can give us the equivalent of spectral features being superimposed over time upon simply a black and white background. There are some illusions in which color is generated from fast oscillations between black and white states.

Anyway, if we took a large "void" and began filling it with points (we can assume a memory of observations exists), the equivalent information gain per photon decays over time and we have the equivalent of a statistical red shifting of information.

For example, with 1000 units of "empty" space, the initial selection is of 1 of 1000 positions or (2^3)*(5^3). The second position is of 1 of 999 remaining positions, though if we don't retain a memory of the sequence of these placements, we have a factorial decay involved and the second point would "gain" us a multiplicative increase of 999/2 possibilities to the original 1000, a third point would gain 998/3 or in general (1001-m)/(m) for every additional point. This would reduce to the equivalent of the initial black state when all points were white and we'd to add information to differentiate between these by selecting what we represent as white and black (which is potentially an infinite quantity as qualia appear to have no quantizable representation).

So we could see the information content evolving as 1 of 1, 1 of 1000, 1 of 1000*999/2=499,500 and 1 of (1000*999*998 )/(1*2*3)~=166 million etc.

This is related to combinatorial and permutative functions in mathematics: http://www.mathsisfun.com/combinator...mutations.html

This process is similar to vacuum energy with the EM spectrum similar to prime factors of these giving distinct spectral lines and allow information to be communicated in terms of compatible n-way symmetries - photons. There's also the mental void beyond space and likely something like a pure quantity of quanta/time underlying all of it at some point, though it doesn't appear there's any way to be certain how layers of transformations we have giving rise to physical space - what we might consider to be quanta, may not be quanta from other perspective. It's quite an interesting tangle ...

Thanks for your post and I think you're looking along some pathways with quite interesting possibilities (I have a thread called Theory of Life, Consciousness and Computation that you might enjoy looking at)

Have fun