hidden directions

[AntonioLao]

The idea of hidden directions is logically more plausible than the idea of hidden dimensions. One compelling reason is that the former can be analyzed using vector or tensor analysis. The latter has no other reason than using the idea of compactification. Compactification is a new mathematical construct invented by superstring theorists mainly for the purpose of justifying the ten or more dimensions superstring theories. They argued that six space dimensions are compactified near the region of the Planck length such that the observables are three dimensions of space and one dimension of time. There is no physical reason why nature chose to compactify its dimensions unless physical dimension is directly affected by mass density at the local infinitesimal region of space-time implying further a fundamental idea at work for a quantum theory of mass or a quantum theory of the space-time continuum using six timeless infinitesimal spatial dimensions.

The idea of hidden directions is compelling if two opposite vectors cancel each other out, that is their vector sum is exactly zero. This is realized if both are pointing at a common point of space-time. On the other hand, if they are not pointing at a common point then the center of separation serves as a fulcrum for an infinitesimal torque. This torque is conserved if and only if the two opposite vectors are orthogonal to the line segment of separation. Since any point of space-time can serve as the center of separation and pair of opposite vectors can be found anywhere, the topological mapping of all 3D points and vectors has a one to one correspondence with the one-dimensional topology of the Hopf link, representing two interacting torques. Each Hopf link can have parallel and antiparallel tangential directions. Mapping these differential directions in 3D space-time creates two distinct Hopf topologies namely the H-plus and the H-minus. Their interactions can be described using Hadamard matrices. Matrix products describe the origin of mass; Matrix sums describe the origin of physical charge (e.g., electric, color, hyper, etc.). These unique formulations describe all the important properties of elementary particles of high energy physics. They provide a quantum theory of the space-time continuum and assert that the fact of hidden directions is the reason the space-time continuum must be quantized.

[mkirkpatrick]

An interesting idea Antonio,I have often been lost simply because I could not see the directions right in front of my nose,they were in effect hidden in plain sight.


regards michael.

[AntonioLao]

That can happen also if the decision point goes around in circle. In computer's lingo, it's called "infinite loops."

[AntonioLao]

Some of the following images seem to indicate that Mobius topology is also an infinite loop
http://www.google.com/search?q=infinite+loops&hl=en&rlz=1T4GGIH_enUS454U S454&prmd=imvns&tbm=isch&tbo=u&source=univ&sa=X&ei =RUycTpmxBNP-sQKykMi1BA&ved=0CHgQsAQ&biw=1024&bih=559

[mkirkpatrick]

[QUOTE=AntonioLao;151379]Some of the following images seem to indicate that Mobius topology is also an infinite loop
http://www.google.com/search?q=infinite+loops&hl=en&rlz=1T4GGIH_enUS454U S454&prmd=imvns&tbm=isch&tbo=u&source=univ&sa=X&ei =RUycTpmxBNP-sQKykMi1BA&ved=0CHgQsAQ&biw=1024&bih=559[/Q

Many thanks for the link Antonio,I think we all are caught up in a Mobius endless loop.

regards michael.

[mkirkpatrick]

That can happen also if the decision point goes around in circle. In computer's lingo, it's called "infinite loops."

Yes,life itself seems to be an endless expression of in and out of incarnation.

regards michael.

[labelwench]

Hmmmm........the infinite loop.......comprised of many loops within loops....

......yet that still does not address the medium within which these endless loops reside.....

[mkirkpatrick]

Hmmmm........the infinite loop.......comprised of many loops within loops....

......yet that still does not address the medium within which these endless loops reside.....

Perhaps the medium is an ocean of consciousness which is another word for intelligent energy?

regards michael.

[AntonioLao]

I wonder if there exist a conceptual similarity between the idea of infinite loop and the strange attractor of chaos theory? I'll attach an image later.

[AntonioLao]

Here are the links for the strange attractor of chaos theory
http://en.wikipedia.org/wiki/Attractor
http://mathworld.wolfram.com/StrangeAttractor.html
http://www.google.com/search?q=strange+attractor&hl=en&rlz=1T4GGIH_enUS4 54US454&prmd=imvns&tbm=isch&tbo=u&source=univ&sa=X &ei=hpKdTuPvM-OasgLXn9WPCg&ved=0CGYQsAQ&biw=1024&bih=559