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Ryszard Waluś "A Theory of Time: an Introduction" - fragment CONTENTS The synchronisation of cosmic cycles: a hypothesis ............... When did the universe come into existence? ........................... Time cycles .............................................................................. What determines the duration of the individual cycles? .......... What do these numbers signify? .............................................. Initial questions ........................................................................ The synchronisation of cosmic cycles: a hypothesis In this document the author puts forward a hypothesis that individual heavenly bodies in a given group may have cycles which synchronise over a greater time period so forming a longer cycle which defines the rhythm of that part of the cosmos. We will use the solar system as an example in order to gain an understanding of the topic. Our reference point, that is the place from which we are observing, will be the earth. We will examine the bodies in the solar system which are most visible on the celestial sphere, so we will limit ourselves to the sun, the moon and planets such as Mercury, Venus, Mars, Jupiter and Saturn. So what will be the cycles? In the case of the moon a cycle will be a revolution around the earth returning to the starting point fixed against the stars. In other Ryszard Waluś "A Theory of Time: an Introduction" - fragment words the cycle would be a sidereal month. The other moon cycle will be its revolution between successive full moons, the synodic month. The movement of the sun on the celestial sphere is a result of the rotation of the earth. This gives us yet another cycle called the solar day, i.e. the period between successive solar zeniths. The stellar day, the revolution of the earth relative to the stars, is another cycle. The cycle for each planet will be a revolution of the planet around the sun. I have adopted the expression "synchronisation of cosmic cycles". The cycles described above are the ones I have in mind when I use the term "cosmic cycle" while referring to the solar system example. So what does the concept of "synchronisation" entail? Let us imagine that at a particular point in time we see the specific positions of the bodies under discussion on the celestial sphere: we are seeing them at a specific point in each of the cycles listed above. It is a "unique" arrangement. If at a future time - it might even be millions of years later - this same "unique" arrangement of the heavenly bodies mentioned above appears on the celestial sphere, we would call this event the synchronisation of the cosmic cycles of that group of bodies. In our example we have considered some of the bodies in our solar system, but we could investigate other groups of objects and structures which are linked by gravitational forces, such as galaxy clusters, galaxies, star clusters, stars etc. The phenomenon of the synchronisation of cosmic cycles can be more easily explained by analogy to the synchronisation of clocks which run at different speeds. At the start point all the "clock hands" in our clock-like cycles are positioned at "zero" (fig. A). The clock hands all move at differing speeds as each has a cycle of a different duration; so after some time has elapsed each clock hand will be pointing to a different position on the clock face (fig. B). After a specific length of time has passed, which is a multiple of the full cycle durations of all the individual clocks, the position of all the clock hands will synchronise at "zero" on every dial (fig. C). Ryszard Waluś "A Theory of Time: an Introduction" - fragment This hypothesis suggests the universe is a system in which there is an extensively interconnected interdependence between the systems of objects, between the objects which make up a system etc. The manifestations of these interactions may include the phenomenon we have called the "synchronisation of cycles". Every object, every system of objects is in motion. Examples of this motion might be rotation of a body about its own axis or orbital revolution around a central point; the existence of a cycle would show there is recurrence. Recurrence can relate to the movement of a single object and also to the cycles of multiple objects within a group. It is difficult to prove the hypothesis about "synchronisation of cosmic cycles" by experimental means since the time periods which would be required for observations are too long. Calculations which assume the cycles are stable could also be misleading as there may be slight variations in the cycles. However if we had highly accurate data about the movement of the bodies and built a mathematical model based on the data and applied a high level of accuracy and effective calculation methods, we could get closer to the real solution of this issue. It will inevitably be an approximation since every mathematical model is only an approximation to reality. When we are dealing with long time periods any error in the calculations cumulates. However we would be able to calculate the probability and conditions for the existence of the phenomenon of "synchronisation of cosmic cycles". ...