Leif Andersson Henriksbergsvägen 104 136 67 Vendelsö 2013-05-27
How many are the properties of a point?
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The universe contains something. The fact that we experience something means that this
something is not smoothly distributed.
In a perfectly smooth distribution no points can be distinguished from the surroundings. The
concept of "distance between two points" has no meaning. And no point can change position
to make an event. In a smooth distribution there is neither distance nor events, thus neither
space nor time.
I see a world that consists of disturbances in that somthing that fills the universe. I can see
these disturbances as the sum of small quantas where each quantum constitute a point. I divide
my world in small quantas.
The smaller a quantum is the less properties it has and the harder it is to detect. If I want to
detect a disturbance in the form of a wave I have to observe it for a substantial part of the
periodtime before I can say that it is a wave. Then there is no exact observationmoment.
It is some time in the observationtime. And the position is somewhere in the wavelength.
Wheter the universe is infinite or not I can delimit a finite world large enough to contain
everything I can observe. I call such a finite world "my world". My world has a finite lifespan and
a finite diameter.
I can split my world into quantas that are so small that it takes my worlds lifespan to detect them.
But such a qantum has no position in spacetime. If I want to split my world in qantas that can
be arranged in a coordinate-system in such a way that every qantum is represented by one
and only one point in the coordinate-system I have to choose somewhat larger qantas.
I can make a division of my world such that it can be described by a binary number where 1 means
a quantum and 0 means an empty quantumposition. I can make this division so that a quantum only
has one position in the number. Then an event means that a quantum change position.
Thus I can describe my world with a binary number, a worldnumber, where I have arranged all
the quantas and all the empty quantapositions i a long row.
An item, e g a car, is a group of full and empty quantapositions. If I arrange all quantapositions
in a long one-dimensional row will not all the quantapositions of the item be close to each other.
When two items interact quantas from one item change place with empty quantapositions in the
other. That means that the items have common borders. But if I arrange the quantapositions in
one single row I can not see which positions are close to each other.
A TV-picture is transmitted as a single one-dimensional row of pixels. In the receiver these
pixels are arranged in rows in a two-dimensional picture. In the transmitted number pixel number
25 of row number 4 is far away from pixel number 25 of row number 5 but when they in the
receiver are arranged into a two-dimensional picture pixel number 25 of row 4 is placed next to
pixel number 25 of row 5.
The question is: In how many dimension must I split the worldnumber if it shall show which
quantapositions that are close to each other? How many coordinates are required to describe
the position of two cars in such a way that I can determine if they can interact?
One coordinate, e g the distance from me, is not sufficient. Two cars might very wll be at the same
distance from me but far from each other. Two coordinates are not sufficient. If they have the same
latitude and longitude but different height they cannot interact. Three coordinates is not sufficient.
Even if they have the same latitude, longitude and height they can be there at different times. But
if they drive through the same crossing at the same time, i e if they have the same latitude,
longitude height and time, they will always interact.
If I with four independent coordinates describe the position of an item then if two items have all
coordinates equal they will always interact. If any coordinate is different they will never interact.
If I split the worldnumber into four dimensions I will have a complete and unambiguous
description of positions. Hence I describe position with four coordinates. I call three of them
space-coordinates and the fourth coordinatetime.
If nothing happens in the whole world then time does not move. Such a stillstanding world is
unintresting. It is the events that gives my world a content.
I can arrange events in a numbered succession. Evey time a detectable event occurs anywhere
in my world, i e every time a quantum change place with an adjacent quantaposition, the number
is incremented. I call the number parametertime and the smallest detectable event I call unitevent.
If there are h quantas in my world then a quantum will move each time h unitevents have occured.
If this movement every time has the same direction the quantum will move one quantaposition
per h unitevents The velocity of the quantum will then be 1/h quantapositions per unitevent.
If I at some value of the parametertime describe my world by a description where every
quantaposition is denounced by four coordinates have I then described my world completly?
Can I from this description recreate my world or copy a world of the same kind? Is the description
of a point complete if I tell if it is full or empty and give the position by four coordinates?
The answers to these questions are "no". To make two universe equal it is not enough that
everything is in the same place, they must also change in the same way. My world has a
cause-effect-correlation. Event A can be the cause of event B. If event A has occured then
event B shall occur. What rules for unitevents constitutes such a correlation?
It seems like my world has three rules for unitevents. These are not selfevident but based on
experience and thus it is possible that there are exceptions from them.
1. Unitevents occur at random. That means that if a quantum has changed place it will take
h unitevents before it change place the next time.
2. A quantum can only change place with an adjacent empty quantaposition. There is no
distant influense where a quantum transfers information through a jump to a distant position.
3. If a quantum is surrounded by empty quantapositions then every movment will be in the same
direction if there is no force-field.
Rule number 3 means that every quantum apart from a position also has a velocity-direction.
Thus instead of five properties (empty-full and four coordinates) it has nine properties (empty-
full, four coordinates and four velocity-components).
Quantas in the item I call "I" travel with the velocity 1/h quantapositions per parametertimeunit
(light-speed) in some direction, Since all these quantas move in the same direction their
position with respect to each others is conserved.
I travel with the speed of light in some direction. I call this direction coordinatetime. Also items in
my surroundings travel in a similar direction and if I use an egocentric coordinate-system i e
a coordinate-system with me in origo, most items in my surroundings will stand almost still.
If Pelle and I run in different directions then Pelle will move in my egocentric coordinate-system
and I will move in Pelles egocentric coordinate-system. In a universal coordinate-system we
will both travel with lightspeed but with slightly different directions. In my system Pelle will have
the speed (1/h) sin α where α is the angle between our coordinattime- axles.
In my world h (number of quantas) is always constant and hence I can tell all velocities for items
with respwct to each others with sinus for the angle between their coordinatetime-directions. But
for most items in my surroundings this angle is very small. A more handy unit is nanosinus, i e
1/1000000000 of sinus. This unit is close enough to kph to make it useful as a unit for velocity.