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Calendars and Timekeeping

Decimal Clock.
Image from Steve Bowers and Wikimedia Commons (see below)
Many, but not all, timekeeping systems use decimal units of time of various durations
Accurate synchronisation of clocks in a universe dominated by Special Relativity is quite literally impossible, though there are many local conventional frameworks established for the sake of convenience. Some of these conventions are quite widespread.


At the start of the Information Age there were a number of calendars in use on Old Earth, but the one most commonly used for commerce and science was the Common Era calendar (c.e.), based on the ancient Gregorian Christian calendar. This calendar was used in conjunction with the Coordinated Universal Time standard (UTC) to give a single value for timekeeping all over the planet. UTC was adopted throughout the Solar System at first, but once permanent colonies were established on the Moon and Mars new calendars were established for those worlds. The Martian calendar was adopted in 2185 c.e and is based around the 'sol' or Martian Day, having a start date of 14 November 2031 when the first manned landing occurred. The Lunar calendar known as the 'After Tranquility Calendar' (AT) was established soon after, and takes the first manned landing on the Moon in 1969 c.e. as its starting date. However, the Lunar day was considered too long to be useful, so the new calendar retained UTC to count the time of the new colony. By 391 AT the majority of the Solar System (apart from Earth and Mars) was using the AT/UTC standard.

After the Great Expulsion several billion refugees from Earth crowded on to the Moon and onto habitats in Cislunar space, waiting for a chance to escape to the roomier colonies of Mars and the Outer Solar System or onto the great Arkships that were being built to carry them to the nearest stars. During this time the Lunar calendar became the common measurement of time for most of the former inhabitants of Earth. The refugees almost always took the 'After Tranquility' calendar with them to their new homes among the stars. Later Luna became the capital of the First Federation in the early years of its formation, and attempted to regularize the measurement of time on an interstellar scale; this of course proved to be impossible.

In a universe governed by special relativity it is impossible to say in an absolute sense whether two events occur at the same time if they are separated in space. Time dilation changes the rate at which time passes for any moving object when observed from another moving object; so no common frame of reference can be found to measure the passing of time. On the surface of a planet, or even within a single solar system, it is possible to disregard simultaneity effects for almost all purposes; but once the Terragen Expansion spread from Sol to other planetary systems these effects became very much more important.

Interstellar spacecraft and their crews traveling at an appreciable fraction of the speed of light will experience time dilation to a greater or lesser extent according to their velocity; a journey of 6 light years at 0.6 c will take ten years as seen from an observer on the world it left from, but will only take 8 years from the point of view of the crew. Once the ship arrives, the colonists have a number of choices if they want to establish an accurate calendar. They can keep the calendar of the original world, and if they left that world in the year 1000 a.t. for instance they would count a date of 1008 a.t. as their date of arrival. However when they compare notes with the original world (a process which would involve an exchange of messages at light speed, and which would take twelve years) they would find that ten years had passed on the home world, and the calendars would be out of sync.

What is worse, the two stars concerned would be so far apart and moving so fast with respect to each other (because of their so-called proper motion) that there is no way to coordinate the rate at which their respective measures of time pass; the two calendars are essentially independent from each other and can never be reconciled exactly. The proper motion of one star with respect to another changes constantly because of the gravitational effects of the rest of the universe, so the effects of time dilation cannot be compensated for with complete accuracy.

Hypersurface of the present
Image from Steve Bowers
Due to the Lorentz transformation, the three-dimensional region known as the 'hypersurface of the present' is tilted if compared to that of another observer moving at a different rate. This means there can be no real simultaneity between events as seen by observers moving with respect to each other.

So when the Federation of Sophonts attempted to standardise the After Tranquility calendar across interstellar space they found it was literally impossible, even when only considering star systems willing to adhere to Federal standards. In fact, at this point many interstellar colonies preferred to use their own local calendars and timekeeping standards, often developed for political or practical reasons. Factors such as differences in time measurement methods, presence or absence of adjustments such as leapseconds causing discontinuities in the computed elapsed time, and the effects of stellar motion contributed to the growing divergence between the dates of different star systems. By the end of that period the Terragen Sphere was several hundred light years in radius, and the uncertainty in the calendar date from one side of the volume to the other was a significant factor.

Standard Temporal Frames of Reference

The first standard is known as the Galactic Standard Rest Frame, which represents a Minkowsky space approximating a rest frame centred on Sol. On the scale of the Terragen Sphere, space is Minkowskian to a high approximation. Distortions (around stars and black holes) are local and asymptotically flat. This frame allows a Galactic Standard Time to be established, which is more-or-less constant across the entire width of the Terragen Sphere. By measuring the speed of exploration and colonisation ships, and the proper motions of stars very accurately, the effects of time dilation can be compensated for with a high degree of accuracy (although complete synchronisation cannot be achieved, due to the effects of the Stochastic Gravitational Wave Background, an effect which sends random ripples of spacetime distortion across the universe at all times).

When wormhole communication began to spread throughout this expanding sphere, the significant temporal displacements caused by time dilation during the translocation of wormholes required a new standard to be established. This standard is known variously as Nexus Time, Common Time or Empire Time, and can be significantly different to Galactic Standard time. By using the Lorentz Transform, the expected temporal displacement can be calculated (this sort of calculation is second nature to transapients and archai, but many modosophont astronomers choose to calculate it themselves as an exercise.

The cultures of the Integration were particularly keen on establishing a common time in this way, and they continued to use the After Tranquility standard. Following on from the Integration, the Sephirotic Empires generally use the AT calendar to record significant events, and this is the calendar used at the department of History in Verlibcon Arcology on Ken Ferjik for the Encyclopaedia Galactica.

On the other hand, most worlds and habitats and even separate countries or polities within those worlds maintain their own separate calendars, often based on the orbital characteristics of their world and or the date of the foundation of the colony or other momentous events. Mars still uses its original calendar, and the few inhabitants of Earth still use the Gregorian measure; the oldest calendars in use are those of the alien xenosophonts on To'ul'h and Muuhhome, which date back to long before human civilization.

In order to assist deep space exploration craft and habitats that may become damaged, disoriented or otherwise lose data about their exact location, several Dyson Spheres and Matrioshka Brains broadcast timed and coded signals which can be used to determine space-time coordinates throughout the Terragen Sphere. The first megastructure to do this was the Oikomene Dyson in 3120 AT. Like every other method of timekeeping, this signal is constantly distorted by the Stochastic Gravitational Wave Background.

Effects of Temporal Displacement

However the value of Nexus time is subject to many effects of simultaneity which makes it an arbitrary measure of time; wormhole linelayers move at considerable fractions of the speed of light, and the ends of the hole can therefore have quite different local time values on arrival. Especially where the Wormhole Nexus connects to pre-existing xenowormholes like the ones at Tunh or the Carina Rush, temporal displacement can amount to hundreds of years. This effect is sometimes known as the 'Buy Time Machine', and means that wormhole connections generally link to a location significantly displaced into the future, as measured by Galactic Standard Time.

Where desirable this temporal displacement effect can be mitigated or reduced to zero by sending the linelayers carrying the wormholes off in pairs; by travelling for comparable distances at similar speeds, the two ends of the wormhole can be synchronised almost exactly.

To make the concept of Nexus Time even more ill-defined, a message from a distant world may need to pass through dozens of wormholes en route, and the transit time can vary considerably over time. This means that Nexus time is a variable measure which in no way establishes a single frame of reference for the whole Orion's Arm Civilisation.

In any case there are countless worlds in the Outer Volumes and elsewhere which are not linked to the Nexus, so are subject to the same relativistic uncertainties that plagued the Federation. As the Nexus expands to link with new systems, very often the calendars of the new worlds are very much out of sync with Nexus Time. For instance the Refugium Federation was almost sixty years adrift when it was finally rediscovered, despite having consistently and accurately used the old Lunar Calendar (although without any attempt at adjusting for relativity). And relativistic polities such as the Deeper Covenant which ply the space between the Sephirotic worlds are accustomed to recalibrating their calendars on arrival, while maintaining accurate ship time as the most important and relevant measure.

Galactic Standard time is generally used to record distant astronomical events, and is often used on the Periphery far from any wormholes; but in most other locations Nexus Time is preferred.


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Development Notes
Text by Steve Bowers
Vitto, Liam Jones, Todd Drashner, Rakuen07
Initially published on 23 February 2007.

Image of a decimal clock adapted from Wikipedia, clock by Pierre Daniel Destigny
 
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