Does time exist?
Is there time or not? In controversial books, two physicists / philosophers, the British Julian Barbour and the US American Lee Smolin, have started kind of a feud. In 1999, Barbour presented the book "The End of Time", which states that physics can be achieved without time. Smolin came to the market in 2013 with the title "Time Reborn", which intended to give time a fundamental basis. The reviewer of the New York Times, Alan Lightman, soon uttered the judgment that Barbour was imaginative and Smolin speculative. Both words are certainly aimed at the same. In own, for sure morally fueled assessment, fundamentalism in contrast to fantasy is something more contestable. What is behind it?
The emergence of the concept of time was to be logically justified. No matter what you start with, the adding of time to the quantities used before makes up for a new dimension. But what is the consequence or how to deal with it? The prime example is the squaring of the circle, the impossibility of which was proved by Ferdinand Lindemann in 1882 by logical means. To derive the circle (mathematically given as quadratic power term) from logical arguments, which have a lower dimension (linear), is impossible. Basically, this type of proof corresponds to the respective considerations of Immanuel Kant, 1782, who showed that there can not be a logical proof of God.
The same reasoning might justify the own suggestion to create new fractal mathematics complementing classical mathematics, which instead on logically conceived points (mass particles) as carriers of the basic units is now based on structures. In the former case, structures (ie, physical structures in the sense of electro-magnetic fields, not mathematical structures with their more general definition) result as a limit or limit value of logical expressions, but in the opposite case, logical contexts arise from corresponding boundary situations of such structures. This is regarded as the essential core of dualism.
A clear formulation of such fractal mathematics as a counterpart to the mathematics of functions exists, according to the present knowledge, so far only as a fractal geometry, but not yet in a fully elaborated form. However, it is already clear that there can not be a rational theory of emergence, popularly called creation, based on classical logic, and this, of course, also applies to vanishing (an apocalypse). The direct generation of physical structures from basic assumptions of classical logic is only possible as approximation. Fields can not be generated by transforming mechanical automatons.
The problem of the existence of time can be defused by the fact that we understand time and existence as a dual pair in the sense already used on this website, not just as in mathematic function analysis (see also here).
© Copyright Hans J. Unsoeld, Berlin 2017
Updated August 19, 2017