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Hey! Check out my blog today.
Lol, I know post has to be the lamest post ever. But, if i am going to ever have a friend on here, I am going to have to start asking. Anyway, I'm new to this vox blog. So, I need a friend. Will you be my friend please? Leave a comment.
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Tranduction pour mon groupe français :)
Tiens! Vérifiez mon blog aujourd'hui!
Lol, Je sais que ce est boiteux jamais, mais j'ai besoin d'un ami(e) sur ici. J'ai besoin de demander. Ainsi, ce poste est moi, que est demande un ami(e). :D .En tout cas, Je suis nouvelle à ce vox blog. Vous veuillez être mon ami(e) s'il vous plaît? Quittez un commentaire.
à propos....je regrette si mon français est mauvais. Quittez un commentaire si ce est aussi, s'il vous plaît.
Infinity which one could argue would come about with 1 / 0 is not a real number. Such a result would cause a discontinuity in the function causing a break resulting in two functions instead of one.
The key point here is that if the curve is thought to be composed of individual points then the finite interval between 0 and 1 holds as many points as the infinite interval between 1 and infinity! We have a contradiction here. How can the same number of points exist within two differently sized intervals?
The solution is not to consider the function line as composed of a bunch of points but instead to realize that it represents something much deeper and significant which mathematicians call a continuum. A continuum can stretch or shrink to accomodate whatever a function or systems demands of it. Continuums also make themselves obvious in the mathematical process of diferentiation in which a function interval is made as small as needed to reach a state of changelessness for the system. Once this state of changelessness is reached the system has no need to make it smaller.
Einstein called our space and time a Space-Time Continuum in recognition of the above observations. All physical quantities at the fundamental level are either integers or continuums (the spaces). Because of the continuum the mathematician Georg Cantor, who did so much work with infinity, emphasised that there was no such thing as the infintesimal (the infinately small) in either mathematics or metaphysics. Thus when I read that certain physicists claim that physical theories fail when something is shrunk to an infinately small point I wonder if they really understand the foundation of mathematics. An example of this is when an electron is shrunk down to be infinately small (a point particle). In this case the charge density becomes infinately large producing an infinately large potential energy.
Now consider how this idea of a continuum comes about. It is not deduced and niether is it derived from empirical experimentation. It was derived from an inductive process after the recognition of an internal contradiction. That required the development of a deeper unifying concept, not the surrender to blind acceptance that contradictory ideas can both be valid. Only by going deeper do we gain understanding.
By default (since no other place exists) I believe that the actual divine must exist in an eternal higher dimensional space, that space into which our 3D universal space is expanding into. Just as any point on a 2D sheet of paper is accessible to our 3D space so is any point in our 3D space accessible to a 4D or higher space.
Also in the same way a sheet of paper confines 2D objects like lines and dots to itself our 3D space also confined material objects to itself. According to the equations of both General Relativity and Quantum Mechanics is matter goes to zero space and the quantum amplitude go to 0 respectively. This means matter and our universal space are intimately linked in a why that cannot be broken. Matter cannot escape from the space it defines.
Yet complex objects are not able to exist in higher dimensional spaces because too many degrees of freedom exist. Knots do not exist in higher dimensional spaces as mentioned here in Wolfram MathWorld:
"Klein proved that knots cannot exist in an even-dimensional space
. It has since been shown that a knot cannot exist in any dimension
. Two distinct knots cannot have the same knot complement (Gordon and Luecke 1989), but two links can! (Adams 1994, p. 261)."
Earlier I posted here that the force laws have a much shorter acting distance in higher dimensional spaces probably making orbits (electron through planetary) in such spaces even more unstable (if not impossible) than they are now.
When one considers just how complex and structured the brain is one must conclude that an intelligent and emotional God/dess or gods cannot really exist as an objective reality. Instead the divine, most likely consisting of some collection of conscious sensations must be a lot simpler in structure.
FYI: I was installing octave (handy osx version here) and I needed gnuplot. Someone said that it "just installs" on osx but that's just not true.
OS X, 10.4.8, intel core duo
X11 installed (no idea if that matters, I can use it through term anyway)
Aquaterm
Here's the kicker:
export CFLAGS='-arch i386'
export LDFLAGS='-arch i386'
./configure --with-readline=builtin
Without it, you are lost. Or you'd be getting this error, at least:
It's magic./usr/bin/ld: Undefined symbols:
_remove_history
_rl_forced_update_display
_history_list
_rl_ding
_rl_complete_with_tilde_expansion
I have been having a hard time completing my thoughts in regards to the creation of the universe from a conscious sensation containing higher dimensional space. Writing forces me to address these issue head on and when writing about a subject becomes difficult I know I have some sort of mental block. Over coming these blocks takes time yet often they seem to resolve themselves while I zen out in a long shower. I usually take long showers because of this. Showering seems to be my form of meditation where time just flies.
Anyway, my mental block is that I have been thinking of space in the conventional, intuitive way instead of the deeper and more general mathematical way. Space is not absolutely scaled according to Einstein's General Relativity Theory. The scale of space and time will shrink as a system approaches the speed of light relative to the observing system. The deeper spatial dimensions are based upon communication rules. What we normally think of space is just a special case of that rule.
The best way to think of a space is to define it graphically. Each dimension represents an independent degree of freedom of action, some variable parameter. Our 3-D space has 3 dimensions since an object can move in 3 directions. Yet these dimensions are connected to each other via connection rules (mathematically this is called the metric of the space). So a 3-D space is represented graphically by a triangle with each vertex representing a dimension and each line represening the connection rule. In the case of our 3-D space the connection rules are vector addition but if space is curved as in general relativity then these connections rules are more complex.
Notice that a spatial dimension is defined as a very general "degree of freedom". This extension makes a space out of any set of independent variables (dimensions). Yet spaces should be classified into intrinsic spaces and extrinsic spaces. Extrinsic spaces are what we normally call a space and those are defined by connection rules involving the half (uni-directional) dimension of time. Intrinsic spaces do not have time based connection rules.
Full spatial dimensions allow for change in both the positive and negative directions. Half dimensions allow change in only one direction and can never be expressed in the absence of a full dimension. There is no such thing as an independent time dimension. Time is always determined by the movement across space of some object. So in out spatial graph time is represented by an open circle over the dimensional connection lines.
Mathematically these half dimensions are represented by a term containing the imaginary number "i", the square root of -1. In the general relativity equations the time dimension term is multiplied by "i". One has to square the term to express the time, to make it "real".
Another example of the use of imaginary numbers is Euler's Formula in its various forms. In this case unidirctional declining exponentials can be used to form bi-directional sine and cosine funcions.
A significant intrinsic 3-D space is our color perception with its own unique set of connection rules that allow for the three primary colors to form all the colors of the rainbow. Of course color is a conscious sensation. Significantly, a material property in quantum mechanics is called color charge because its spatial connection rules are the same as those for the conscious colors!
This obvious connection between an intrinsic space of a consciousness sensation and an intrinsic space of physics seems to me to be very, very important and really indicates that treating conscious sensations as arising from a higher dimensional space is the right approach.
Also notice that in physics the spaces are clustered together by fundamental particles in the same way a soul possibly clusters together the various conscious sensation spaces.
So a spatial graph of the universe would include all the extrinsic and intrinsic dimensions along with their connection rules. The space out of which the universe was created should be larger since it includes the conscious sensations in addition to the matter properties. Yet the nature of how one space can be formed out of another needs to be worked on.
References
Easy Overview of Material Properties in Quantum Mechanics
The open courseware system at MIT has videos of math courses open to the public. If you're feeling the need to learn something new or just refresh your memory you can watch them at any time:
Differential Equations
Linear Algebra
Methods for Engineers I and II
Those four pages are the only math courses with video that I could find. The rest of the coursework for mathematics classes is on this page: MIT Math Courses in OCW
