Horizon of Cognition

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Tomáš Pfeiffer – SPACETIME

Zezulka’s Creative Four creates spacetime, including the time sequence that we can call causality. This brings us to the subject matter of the book, which contemplates the relation between three- and four-dimensional space at its practical interaction in any part of The Creative Work.

Fractal geometry is a very young field of mathematics. Its equations give amazing visual outputs. It is the geometry of infinity. The actual visual outputs of fractal geometry equations are also infinite (see the book cover), and as such they can be observed in all directions. That means it is possible to go infinitely through more and more details of the given fractal plane, and this always gives rise to another new image. Both in descending and ascending order. At the same time, they objectively manifest into finite three-dimensional structures that represent our understanding of the world. So far, we have been describing and measuring the world usually through the notions of three-dimensional rectangular linear Euclidean spaces, determining intervals along linear axes – we have been measuring. In fact, we are apparently situated in a curved spacetime (two straight lines intersect each other in infinity). This also has a major impact on the possibilities of understanding destiny as well as cosmic spacetime itself.

Figure 1 – Fractal image. Is it not a mysterious beauty...?

Figure 1 – Fractal image.
Is it not a mysterious beauty...?


Horizon of Cognition

The next figure shows the dependency of a measurable interval in relation to its real size in a curved space. This dependency generally applies both to macro and micro areas. An interval can be understood as anything we can quantify – what we perceive, measure, evaluate, i.e. anything in our world. Therefore, it concerns mathematics, physics, astronomy, psychology, philosophy, etc.

The following figure implies the importance of the axis origin – the point where the interval starts – the position of the observer.

Figure 2 – Horizon of cognition

Figure 2 – Horizon of cognition

In practical terms, when moving in any direction following a straight line, since it is curved, we always return in an infinite circle to the position of origin. For example, in astrology this is manifested by the existence of archetypes (everything has already existed, and always in a slightly different way). This means there is a finite amount of destinies in their infinite variety. I would like to expand the idea in a future book.

A shape of the destinies’ coherence is likely demonstrated by this depiction showing the match rate ranging from similar to identical fateful (or any other) events – situations.

Figure 3 – Match of fateful events
Figure 3 – Match of fateful events

This had already been understood and put into practice by Indian rishis, the authors of the oldest written records which are 7 to 20 thousand years old. It is one of the greatest mysteries of the palm leaves libraries that rishis and their disciples wrote thousands of years ago for next generations as well as for our contemporaries. The records sometimes include completely accurate information – for example names, dates of birth, etc. Hence they substantially shift our understanding of causality. This has a close connection with the horizon of cognition and interpretation of destiny.

Figure 4 – Schematic illustration of the horizon of cognition

Figure 4 – Schematic illustration of the horizon of cognition

Problems of today’s mathematics of infinity, physics, astronomy, etc., are associated with the phenomenon depicted above in Fig. 4. A paradox arises as the measured spacetime is in principle considered linear, while we talk about relativity and not include it in the equations describing those areas. We must remember that any system of XYZ axes or grids is only our concept in an attempt to grasp an interval; for instance, the actual placing of the starting point in a space does not, in any way, affect the measured value itself relative to this point.

Nonlinearity is also manifested in the fact that any attempt at measurement is burdened by error being infinitely small at small intervals and, conversely, infinitely large at large ones. When in proximity to the horizon of cognition, no matter how large the interval in the curved spacetime is, it no longer increases the interval on the fictitious linear axis. This is what I call the horizon of cognition beyond which it is not possible to observe, i.e. measure, anything anymore. It is always true for both directions – towards the universe and the atom, i.e. for light-years and angströms.

Figure 5 – And the light was hovering above the waters (a fractal)

Figure 5 – And the light was hovering above the waters
(a fractal)
Tomáš Pfeiffer – SPACETIMESample from book Tomáš Pfeiffer – SPACETIME
Translated from the Czech original Časoprostor (ISBN 978-80-85238-39-6)
Published by © Tomáš Pfeiffer – Dimenze 2+2 Praha, Soukenická 21, 110 00 Praha 1,
Czech Republic, 8 March 2017, www.dub.cz, ISBN 978-8085238-38-9
All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage or retrieval system or translated into another language, without prior permission in writing from the publishers.
Graphic design including fractal geometry images, visual works © Tomáš Pfeiffer
Bibliography: Josef Zezulka, BYTÍ - EXISTENCE - A Philosophy for Life, 30 March 2008
ISBN 80-85238-30-6, Available online at www.dub.cz
© Tomáš Pfeiffer, 2017

© Tomáš Pfeiffer. All rights reserved.