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Strings do have dimensions. They are attached to the three dimensional brane that is our universe at a single point, and thus appear to us to be zero dimensional.
We are agreed to disagree on that point, Neutralino.
Best regards,
- RP
(George Berkeley, 1710) ... lay the beginning in a distinct explication of what is meant by thing, reality, existence: for in vain shall we dispute concerning the real existence of things, or pretend to any knowledge thereof, so long as we have not fixed the meaning of those words.
"All things come out of the one and the one out of all things." - Heraclitus "Reality is an illusion - albeit a persistent one." - Einstein "Particles give me a headache." - Ibid
Tell me Nobody, how can dimensionless strings create a single dimension string??
I think the idea is a bit mixed up here in that points, as in point particles or point masses in general, not strings, extended to create the first strings. To perhaps merge RP's and Neutralino's thinking, the strings are extensions from the space-time fabric.
Though when spacetime is considered to consist of a single point, G=mc^2, then sizes and shapes cease to remain prevalent - all shapes, sizes and dimensions are simultaneously included and excluded like a blank white canvass that "already" contains every picture conceivable.
This is a quote by me from an old post, from a different thread, but I believe is applicable to our present discussion.
"Very strange and wonderful this universe of ours.
Physicist tell us that most everthing is space. Protons, neutrons, atoms, ( our basic building block ) is for the most part space. In the universe a lot more space then stars and planets ( which are made up of atoms, which are largely space themselves )
It seams like the basic building block of matter is a theoritical string of Plank's length.
Wonders of wonders, all we need are an infinite number of Planck length strings, within a dimensionless point, to account for everything.
As I recall Georg Cantor proved that there are three infinities.
Aleph 0 The infinity of numbers. ( "bigger' if you will ) Aleph 1 The infinity of points. ( "biggest" and last ) Aleph 2 The infinity of curves.
So it seems conceptually at least, we could have an infinite number of curves within a point.
Or, if you will an infinite number of theoritical strings within our dimensionless point universe.
Needless to say if this is the case we are all still attached to that singularity point."
This is a quote by me from an old post, from a different thread, but I believe is applicable to our present discussion.
"Very strange and wonderful this universe of ours.
Physicist tell us that most everthing is space. Protons, neutrons, atoms, ( our basic building block ) is for the most part space. In the universe a lot more space then stars and planets ( which are made up of atoms, which are largely space themselves )
It seams like the basic building block of matter is a theoritical string of Plank's length.
Wonders of wonders, all we need are an infinite number of Planck length strings, within a dimensionless point, to account for everything.
As I recall Georg Cantor proved that there are three infinities.
Aleph 0 The infinity of numbers. ( "bigger' if you will ) Aleph 1 The infinity of points. ( "biggest" and last ) Aleph 2 The infinity of curves.
So it seems conceptually at least, we could have an infinite number of curves within a point.
Or, if you will an infinite number of theoritical strings within our dimensionless point universe.
Needless to say if this is the case we are all still attached to that singularity point."
Best to all,
Pat
I borrowed this from another post as well Professor.
Tell me something. Are strings matter or energy? If they are energy, then they would be dimensionless just as photons are. However if they are matter, then dimensions do matter. Also the way they vibrate determins what they become (matter or energy). But what is the base state of strings???
Quote:
Originally Posted by N0B0DY
I think the idea is a bit mixed up here in that points, as in point particles or point masses in general, not strings, extended to create the first strings. To perhaps merge RP's and Neutralino's thinking, the strings are extensions from the space-time fabric.
Though when spacetime is considered to consist of a single point, G=mc^2, then sizes and shapes cease to remain prevalent - all shapes, sizes and dimensions are simultaneously included and excluded like a blank white canvass that "already" contains every picture conceivable.
Tell me something. Are strings matter or energy? If they are energy, then they would be dimensionless just as photons are. However if they are matter, then dimensions do matter. Also the way they vibrate determins what they become (matter or energy). But what is the base state of strings???
Actually Dipayankar, photons are not dimensionless, but rather a 2 dimensional transverse wave. They have no mass therefore they would be energy. I assume strings are 1 dimensional, vibrating, also with no mass, but this is pure speculation on my part, since strings are theoritical and have never been observed.
Nobody your quote:
Is it possible that the points without dimension are also within the one-dimensional strings, Pat?
Nobody I don't know why not. If my math theory is correct you could place an infinite amount of 0 dimensional points on a line segment. Even if that line segment is planck length.
Tomorrow I'll be gone for 2 weeks on winter vacation. 1 week in San Diego to see my family and another week at Disney World to attend a business conference. I do have 1 day back here to catch up on Toequest. So if I don't respond you'll know why.
Linear Mode
