We have discussed the availability of oscillatory (or complementary) states and of memories as contexts of an observed existence in the last post. Let us now look at their commonalities. Firstly, an oscillatory state as the complementary outside to the inside of the distinction in the focus of the observation necessarily also rests on the memory of a previous observation. As I have laid out, this is also the case if the complementary state consists of an expectation towards a potential future of the current existence.
Secondly, if we can indeed reduce any observation to fundamentally being one distinction separating its inside from everything it is not, then this must also be true for any previous observation remembered in the current one. With this in mind, the difference between oscillatory states and memories as contexts of existence becomes almost obsolete. The one remaining difference is retained in the marker that the oscillatory state is an alternative state of this existence, the existence in the focus of the observation. Thereby, oscillatory states can become a marker of uncertainty, as it is clear that they could potentially gain actual existence in the next observation.
In Chapter 11 of his “Laws of Form”, George Spencer Brown, in dealing with equations of the second degree – i.e., recursive functions -, introduced the notion of oscillator and memory functions. These notions are at the basis of our considerations, and we will return to them for further exploration.