Our 4D world as circular recursion
Our 4D world as circular recursion
Development needs an external influence. Consequently there has to exist a not completely closed system. The question of partially permeable borders is bound to its existence. But we cannot “look” outside of our system called world.
We have to concede that we are living in a kind of not completely known medium like fishes in the water. And not to forget: We as living beings form a system, too, and therefore the same argument refers to ourselves. The main aspect becomes interaction, while those two systems remain an area accessible only by indirect methods, what probably just means recursion. As stated in former articles on this website referring to the uncertainty relation by W.Heisenberg and to the mathematical work on fuzzy logics by L.A.Zadeh, recursion can hinder exact prove based on rationality by ignoring singularities. This illustrates the limitations to recognize one “dimension” sharply at the same time as another one.
Time could tentatively be introduced as primordial entity and called imaginary according to the description in classical mechanics (e.g. oscillations), and more elaborate in quantum mechanics. Not in contradiction to the context at hand, time would in this way be most easily understood as parent generation of the other three spatial dimensions forming as kind of a triplet. Such fuzzy recursion ought to be observable only under such special stipulation as qualified, for instance, by the de-Broglie-experiments, and of course depends on quantization.
In classical physics spatial dimensions are used as being given by axiomatic when starting description of nature. Now we will look for dimensions of development itself. Is recursion possible between existence and development – an almost philosophical question?
The classical way to do in physics something like this is to first choose or pick axioms fulfilling basic (essentially mathematical logical) assumptions and constants of order zero. From them, by admitting influence from outside, a linear force called pulse and mechanics of first order can be derived forming what might be called a static dimension, and also the corresponding interaction. Thus static in this sense will be meant as involving mathematically only linear and not quadratic terms. Only friction and no back-feed are in this stage taken into account. This means limitation to the near-by range. In a following step allowing multi-directional outside influence (perturbations) leading to circular motion and -, oscillations and fields can be considered leading to a dimension called dynamic in this context and described by quadratic terms or second order terms. In a third step motions of spatial bodies show attraction and form trajectories under the influences of transformation between mass and energy according to the Einstein law. Becoming more complex they also form spirals and vortices generating angular momentum fields that can make up a long-range network according to the Maxwell equations.
Angular momentum fields of those vortices are usually described by a sum of vectors for overall-rotation and of particle spin. This latter magnetic part emits radiation in perpendicular direction according to the right-hand rule. Admitting own limited knowledge little was known about the energy being emitted by growing vortices and whereto it disappears, when a vortex vanishes. In a hurricane the energy dissipates by friction. This situation is only more or less the same one in the macroworld of galaxies or in the microworld of the spin of elementary particles. In both cases the annihilation or demonstration of that energy remains difficult and requires the existence of unknown forms of mass and of energy composing large parts of the energy supposedly existing in the world (in actual terms the interaction involving dark matter and dark energy).
By the time the vortex of a galaxy or even the entire universe takes on more and more angular momentum and may underlie deformation by giving off energy one-sidedly. It rotates in stable form as long as the two strongest main components of it reside in its extreme opposite ends. But the intermediate part apparently might grow causing instability.
During space flights the Russian cosmonaut V.A.Dzhanibekov observed sudden very surprising switches of direction of bodies flying and rotating in frictionless space, if they have a shape different in all three directions and a stronger intermediate component of the angular momentum than at the opposite ends. Energy cannot be diverted by friction thereby forcing a new kind of singularity. Such switch of direction, for sure, can only occur in not too big systems.
Galaxies or especially the universe are not able to exert such a switch of direction under such conditions. Therefore a huge singularity completely disintegrating it has to cause the death of these enormous entities and will conserve only the angular momentum vector. This vector, however, is composed, for instance according to its cgs-dimensions, by the two factors of action and time. In addition this disintegration could cause a lot of small background noise serving as perturbations in the subsequents formation of new entities and showing up by background radiation.
After formation of vortices and radiation from them the three-step process thus will not end at this point. This means to conceive a circular process which ought to couple to the beginning and might mean the generation of axiomatic laws and constants out of vortices when these seemingly vanish but actually might transform. They can deliver time and energy for beginning again with a new static cycle by making available mainly those two ingredients conserved in the huge angular momentum vector.
Such an extremely sudden and big event has to go on with giving off
enormous amounts of energy. This can be a well likely source of
gamma.ray bursts (GBR). Such an explanation is supported by the
established fact that these GBR never have their origin within the
milky way like supernovae, which are caused by various types of
explosions and especially observed within our galaxy but also
In addition a possibility not necessarily to be excluded could be to conceive a four-dimensional “4D-world” as kind of a living being in an unknown medium, possibly kind of neutrinos and photons interacting between them in a similar manner as atoms and molecules in water as a medium for fish, but also according to the Einstein formula giving a quantized equilibrium between matter and energy.
Such ideas up to now could be dismissed immediately as unallowed speculation, but find now possible support in new measurements of the Hubble constant for the expansion of the universe. It comes out that this speed Is significantly different when measured close to our galaxy or far away in the universe.
Thereby a continuous circle process ought to be imagined to come about without needing or finding at all a scientific justification to talk about terms like creation and annihilation. These thus appear as far more speculative and less justifiable than the above ideas. In contrast to the notion of creation they can be narrowed down to make up at least an approximate coordinate system for purposes in life situations. Laws do not preexist, but would form out of “structuring chaos”.
The concept itself seems to be fuzzy. Existence and development might be conceived only under conditions of fuzziness practically understood as synonymous with uncertainty.
At this point, and a point is something without dimension, the question of borders again arises. The only border that can and must be assumed philosophically at this stage is between existence and development. Falling back into logics a real triplet formed from imaginary time by existence, border and development could be assumed. As parent generation possibly nothing else but time can be considered. An external influence acting upon the border would generate existence and development quasi on both sides of the border like entities with positive and negative spin. As a model we could compare photosynthesis at a membrane under irradiation by sun light. Such a triplet then enters in a next generation with splitting up of existence, border and development. This might be similar to succeeding generations of fractals. It does not need involvement of the notions of creation or emergence, but only of singularities between generations like “the well known” birth and death.
Borders have to have holes, channels, perforations or whatsoever, because no closed system can be assumed. A police as gentle as possible reduces the influence of discontinuities. As a matter of high probability the fate of the system ouight to depend very much on them. But how do or how should or how could those borders look alike – comparable to spacial borders between houses or countriesor planets or to borders limiting time between ages like between the middle ages and the future or between youth and adults concerning voting or retirement and even between cultures, working fields, languages, sexes, feelings, forms of art, tracks or similar societal aspects.
Thus as a consequence of fuzziness borders have to exist, but to be semi-permeable. As an inverse consequence of such borders life itself must be fuzzy. These ideas allow to explain beauty, beautiful music, beautiful colors, landscapes, oh yeah, first of all for us, of beautiful living beings, of plants and animals, of partners, children and imagination. Thus who wants to close borders or to erase borders? That is similar to the action of poisons or anarchists. An example may be the strict but arbitrary decision that people are allowed to vote only starting at their birthday of possibly 18 years or work till the age of 65 years. While being convenient for maintaining more or less absolute power this situation is however condemned to finish without result because of non-existence of completely tight walls.
Last not least considering to ask about responsibility is, of course, allowed, but such qualities like quantities would also have kind of a fuzzy fine-structure and can be adored like beauty for a while until it dies meaning recycling nourishing recursion.
In a society neither rules nor responsibilities nor nowadays climate changes nor economy can be fixed exactly. All these four dimensions possibly selected of our lifes are supposed to be fuzzy, because rationality does not seem to be imperative. Therefore, however, our life as part of nature can be felt as divinely beautiful.
© Copyright and all rights Hans J. Unsoeld, Berlin 2019
Version 1.2 of Nov. 08. 2019