Yes, I view it similarly, though I don't think the field lines can actually be orthogonal to each other as the image implies.
Consider if there existed two physical properties that were perfectly orthogonal to each other, could we detect them as acting in a correlated manner in that space?
(I suspect the electromagnetic field is actually a single string looping through every unit of matter - it's segments should at least logically be considered discrete and identical in length - a straight motion encompasses space and a motion that reintersects itself constructs matter (the length of the loop between these intersections determines the wavelength of the mass - though there's a problem here in correlating it with energy as energy is seen in terms of discrete units, but energy and wavelength are reciprocally related and so we have a mismatch between integer units in one reference and rational numbers in the other, but if we convert energy to a measure of information content and energy, then we can have an approximately linear gain of energy relative to a unit increase in wavelength, as knowing the state of an object in 1 of n states provides the equivalent of log(n) bits of information, but the mismatch will show greater disagreement on larger or smaller scales and physical properties can become distorted).
Notice also that if we have discrete units of wavelength, an object in 1 of n states provides a source for the ability to select between 1 of n objects or actions. If we construct a physical system that has m states, but m is not constructable as a factor of other wavelengths, then the wavelengths do not interact, despite wavelengths that can be apparently close to each other in length - so you have discreteness observed within spectrum that can appear to be continuous as well as distortions to the apparent linearity near some macroscopic reference.
To get a better example of the idea, imagine we have a single photon/process that moves through the entire universe only to return an irrelevant quantity of virtual time later to be consciously detected as a single event. Where this process moves and "how fast" it does this is unrelated to our perceptions because the information it represents conveys our perception of positions and times - just like the apparent motion of some object moving on a computer monitor is not related to space or rates of motions of electrons.
Now we can simplify everything down to a single final observed state and this state cannot be selected from a potential set larger than our perceptions recognize - for example, each photon detection conveys more information if I'm monitor 3 detectors, rather than only 1 or 2 because I can make 1 of 3 decisions in the former case based upon it, or more quickly refine some estimate of a distance, than I could using 2 and performing a binary search or using a single detector that really provides no information except the delay between detections (but that adds the assumption of an additional clock which would require photons to view it, so that's kind of cheating - a single detector just measures time and sees nothing else - it's the equivalent of viewing zero energy (because they provide no information to interprete as energy) black/dark photons)
Anyway, as a better example of the discrete properties on fine scales of wavelengths, if we can see a symmetrical square object, this implies the existence of something with a 4 way symmetry, otherwise it would not be a perfect square.
If we're detecting information via, let's say 5 detectors and they're uniformly distributed between these, then we can't construct a perfect 4 way symmetry between these, because there is no 4^n=5^m (except if n=m=0). There is nothing in the set 4,16,64,256,... that precisely equals anything in the set 5,25,125,625,... though some elements can come very close to a ratio of 1 between them and appear "equal" in an approximate physical sense, but they're never identical and there is no manner to rearrange the channels or compute some derivative structure etc. to match two of these probabilities between sets - so we have a discrete spectrum with unique wavelengths determined by their factors, so they can be interpreted to represent orthogonal properties in a sense.
Now if we have two objects that appear to remain stationary relative to each other in space, yet all the components of both objects are moving at a constant velocity, then it should be that when we integrate the motion of these over a complete cycle, their motions cancel in influence and this would require that they be synchronized at the equivalent of some harmonic frequencies of a common fundamental they share and that larger wavelength fundamental could be seen as correlated to the larger space that contains both objects.
If we look at diagrams of atomic orbitals, they appear as various ratios of integers to each other similar to "Lissajous figures", except they're blurred because we don't detect them synchronized in time with our observations (though I don't believe they can't be entirely desynchronized - the synchronization is just complex). Each electron could be interpreted as orbiting through various dimensional states over a certain period of time and the form it appears to describe relative to another electron orbiting through at least one common dimension at the same position constructs the form of the orbital shells. These possess discrete wavelength due to the 1 of n phases each is cycling through that cannot interact with relatively prime wavelengths.
I don't have all this stuff nailed down, but the same mechanisms appear to be related to most any (at least deterministic and logical) subject someone could desire to learn about, not so much because an external reality forces such a structure upon things, but simply because they appear to arise from the properties of perception, time and thought itself - (which could imply that whatever is truly "out there" is likely something beyond logical description - I won't go into detail but ironically it doesn't appear that any of the logical structures I described above can actually exist in a form perceived over time and we're likely seeing the boundary between chaos and order and neither directly, but the logical form I described above should act similar to a common landscape or an invisible seed, from which the rest of the physical universe is structured upon - the problem is that it's structure is complex and most the Millenium Problems appear based upon it, though an interesting consideration is that there may be a mechanism by which computation can be performed via. molding shapes instead of designing intricate logic - a shape has various resonance modes that can be interpreted as performing computations - we structure a space and then inject a white noise spectrum and determine the resonant freqencies - the specific computations performed on small scales may not be very significant as we just need approximately constant velocities on larger scales ... but it would be more ideal to determine things on a finer scale of precision).


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