Claude, 5. Oktober 2010, 18:54 Uhr
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Das ist die erste Dimension auf der Ebene des Raumes: Die Länge.
Sie ist unendlich lang. Also nach Rechts geht’s unendlich weiter, und nach Links ebenso.
Jetzt stellen wir etwas entscheidendes fest: „Unendlich“ bedeutet nicht automatisch: „Von allem unbegrenzt viel, überall“ – sondern „unendlich“ bezieht sich immer nur auf die aktuelle Dimension. In diesem Fall ist die Länge nur unendlich lang – nicht aber unendlich breit. Breite existiert da nicht.
Jetzt kommt die Breite hinzu:
Die Breite ist ebenso unendlich lang (breit :P) in beide Richtungen.
Was macht die Breite mit der Länge? Sie multipliziert sie in ihrer Dimension.
Da gibt’s jetzt plötzlich ganz viele Längen nebeneinander. Ganz viele? So viele, wie es Breiten gibt – unendlich viele!
Wenn wir jetzt dieses Konstrukt mit einer weiteren Dimension multiplizieren:
Dann haben wir unendlich lange Längen, mit der Dimension der Breite unendlich viele davon nebeneinander, und diese unendliche Fläche wird jetzt noch in die Höhe multipliziert.
Ein unendlicher dreidimensionaler Raum.
Jede Dimension beinhaltet immer all ihre vorherigen – also die Höhe enthält die unendlichen Längen und Breiten (setzt voraus, dass diese natürlich schon da sind – „Höhe“, „Breite“, „Länge“ sind ja willkürlich in der Reihenfolge gewählt)
Welchen Einfluss haben Dimensionen untereinander?
Wir nehmen uns temporär die Zeit zu Hilfe. Aber das ist nur gedacht.
Wie kommt der rote Punkt von A nach B?
Er kann das nur auf seiner direkten Linie; in seiner Dimension. Aktuell: Die Länge.
Oder er nimmt sich die nächste Dimension zur Hilfe:
Er sucht sich irgendeine der parallel verlaufenden Linien aus und bewegt sich über diese zu Punkt B.
Aus der ersten Dimension gesehen hüpft der Punkt. Er verschwindet bei A und erscheint gleich bei B. Der springende Punkt – oder ein zweidimensionales Wurmloch 😉
Merke:
Mithilfe der nächsten Dimension kann ich Sachen tun, die in der aktuellen Dimension, in der ich mich befinde, gar nicht möglich sein dürften.
Die nächsthöhere Dimension beeinflusst alle darunterliegenden Dimensionen.
Einfach? Logisch?
Das war jetzt alles auf der Ebene des Raumes. Nur um ein paar grundlegende Sachen festzulegen. Wir werden wohl öfters hier zurückschauen, wenn ich mich dann um die nächsten Dimensionen kümmere. 😉