Time "t"
What it is
Time and space are intervals between events. Time periods (Times) are the intervals between periodic events associated with a single body, and time intervals (Spaces) are time intervals associated with two bodies. Both time periods and time intervals are quantized by counting some cyclical standard called a clock.
time period (X) = cycle count(clock) / cycle count(X)
time interval(X) = cycle count(clock) / interval(X)

Time intervals are commonly multiplied by a constant "C" and called spaces.
distance(X) = time interval(X) * C

Note that the selection of the cyclical reference sets the units of time, and the selection of "C" sets the units of space. The cyclical reference systems (Clocks) used to quantize periods and intervals are time standards. Until recent history, events associated with heart-beat, day, month and year cycles were used as time standards. A breakthrough in finer unit measurement was made in 1583 when Galileo noticed that the period of a swinging lamp correlated with his pulse rate. Since that time, great advances have been made in creating mechanical, electronic and atomic time standards that quantize periods and intervals, and thus all physical properties, to finer and more precise units. It is important to understand that the reference system is not time. It is a clock. Clocks are used to quantize time and space. Clocks are not time. Clocks are not space. A clock is just the particular cyclical system used to quantize relationships in other systems.

It is also important to understand, that the constant "C" can be any arbitrary value. There is nothing magic or mysterious about "C". It is just an arbitrary number that differentiates between time periods and time intervals, by setting the units of space to some convenient value that relates to the time interval between marks on some aggregate of matter (A length standard).

Time periods are cyclical in nature and time intervals are radial, thus there is a natural 2 pi relationship between pure time periods, and pure time intervals.


History
Primitive man was very interested in the daily and monthly periods. As he turned to agriculture, annual periods became very important.

Scratches on a bone dating about 20,000 BC seems to be moon cycle counts.

As early as 4236 BC Egypt had a 365 day calendar, and the Summerians had 12, 30 day months and 2, 12 hour periods per day as early as 3000 BC.

The sun dial dates from 1500 BC, and a water clock was found in the tome of Amenhotep who died about 1500 BC When man began to sail the high seas, more precise time became important for navigational purposes and makers of better clocks were in great demand.

As noted above, a breakthrough in time measurement occurred in 1583 when Galilei Galileo (1564-1642) noticed that the period of a swinging lamp correlated with his pulse rate

The first pendulum clock was made by Christian Huygens (1629-1695).

In 1928 Joseph Horton and Warren Morrison built the first quartz crystal oscillator clock

In 1949 Harold Lyons developed an atomic clock based on the quantum mechanical vibrations of the ammonia molecule.


Common equations
time period (X) = cycle count(clock) / cycle count(X)
distance = velocity * time
current = charge / time
power = energy * time
force = momentum / time

Units
seconds
minutes
hours
days
weeks
fortnights
months
years
centuries

Editorial comments
As demonstrated in the tutorial, times are fundamentally time periods (Intervals between events associated with a single point or body.), and spaces are fundamentally time intervals between events associated with two points or bodies. "C", the so-called "speed of light" is a constant that is used to differentiate between time periods and time intervals. When multiplied by "C" time intervals are called distances. "C" can be any number you choose, as all it does is set the units of space.

Time, in the sense of aging or change, is neither time periods, nor time intervals. The universe is a sea of standing waves, and these waves are combining exponentially (Entropy). ( The exponential function occurs when the rate of change in a population is a function of the population.) The property time (Time periods) is used to order events along any convenient exponential curve, normally the mean exponential change extant in ones' environment. Space properties (Time intervals) are used to express the topological order of events. In other words, the period of a pendulum is a fundamental time, and it is used to quantize the exponential decay of the pendulum, which is what we sometimes call time. Of course, isolated, uncontaminated exponential changes such as the charge or decay of an electronic circuit, can be used as clocks, but as they are analog and non-linear, and are frequently contaminated by outside influences, they are not good clocks. In any case, the property time that we encounter in physics equations is period time, not interval times, nor exponential changes.

A comment on the difference between time and change. Leibniz stated that there was no time without actual change and Newton protested that time exists regardless of whether or not anything changed. I suggest that Newton was right in that time is the ratio of cycles while change is the exponential combining of a population. Now one might assert that it requires an observer to detect cycle ratios, and that the act of observing causes a change in the systems under observation, but this does not address the basic difference between time and change. Leibniz, like most people, confused time with change.

As time, in the sense of aging, is an exponential function of populations ( Of body cells etc.), rather than time periods, which is what pure time is, this suggests that if Einstein's twins paradox is true, that exponential changes are affected by velocity, and that resistance-capacitance circuits would charge and discharge at different rates as different velocities, and that the mortality rate of rat populations would vary with velocity. It should be possible to verify any changes in the time constants of resistance/capacitance circuits in an ultra-centrifuge. According to Einstein, R-C circuits would discharge slower at high speeds.


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