[AntonioLao]

If the whole of space-time is like a loaf of bread, a time slice would be a coordinate patch sharing a set of common spatial coordinates at a particular instant. In so doing, the local infinitesimal degrees of freedom is reduced from 8 to 6, removing 2 temporal degrees, giving a static 3D space of pure energy (color 2D photograph or 3D wooden figurine). The static set is equivalently R mapped into R itself by 1-to-1 correspondence. Although a 2D photograph mapped into R or R or higher without compromising any information content is possible, it remains 2D if the correspondence stays 1-to-1. However, if the correspondence is upgraded into 1-to-many, or many-to-1, or many-to-many then the content becomes a 3D living picture as if not just Pinocchio’s wooden nose lengthening but the boy becomes a living human being of flesh and blood http://en.wikipedia.org/wiki/Pinocchio. The reverse process is a picture of Dorian Gray http://en.wikipedia.org/wiki/The_Picture_of_Dorian_Gray.

[harmonygirl]

Antonio, are you saying that the 'slice' of space-time (which I just consider co-ordinates or locations) doesn't vary as you dimension slip?

[AntonioLao]

Originally Posted by harmonygirl the 'slice' of space-time

An instant of time. A photograph would be an example of an instant of time. Yet as a whole, the photograph still subjected to time evolution. Close inspection will reveal that even the tiny elementary particles making up the photograph (electrons and protons) do eventually become separated from each other.

[mkirkpatrick]

Originally Posted by AntonioLao An instant of time. A photograph would be an example of an instant of time. Yet as a whole, the photograph still subjected to time evolution. Close inspection will reveal that even the tiny elementary particles making up the photograph (electrons and protons) do eventually become separated from each other.

But surely Antonio,this would take a very long process of time to elapse,before this became evident!


kind regards michael.

[Guille]

Antonio,

What is the range of value for the many-to-many relationship? I mean, is it from 2-to-2 to infinity-to-infinity? Or is the maximum value less than infinity?

[AntonioLao]

Originally Posted by Guille What is the range of value for the many-to-many relationship?

The more relationships the more complex the system becomes. The simplest atom is the hydrogen atom with a relation between one electron and one proton. Yet, now we know that even the proton is composite of 3 quarks.

[Guille]

Originally Posted by AntonioLao The more relationships the more complex the system becomes. The simplest atom is the hydrogen atom with a relation between one electron and one proton. Yet, now we know that even the proton is composite of 3 quarks.

Ok now I understand the range of value of the many-to-many relationship is infinite (or a very very big number approaching infinity). But now I think, is the many-to-many relationship appliable for ever, not in quanity as you've proven, but in size aspect? To understand this we shall look at your example of the Hydrogen atom. The proton is formed of quarks. Are the qaurks made of something smaller? Strings maybe. And strings are made of... something else. And those of something. And those... Is this series infinite, or can the many-to-many relationship but a limit here? Also the other wat round, the multiuniverses etz...?

[AntonioLao]

Originally Posted by Guille is the many-to-many relationship appliable for ever, not in quanity as you've proven, but in size aspect?

By empirical means, there is a limit probing the infinitesimal substructures of quarks and leptons since all instrumentations are made from them.

[Guille]

Originally Posted by AntonioLao By empirical means, there is a limit probing the infinitesimal substructures of quarks and leptons since all instrumentations are made from them.

But there was also a limit once for protons and neutrons. In what way is there a difference between then present day smallest quanta and the ones thought of in the past?

[AntonioLao]

Originally Posted by Guille In what way is there a difference between then present day smallest quanta and the ones thought of in the past?

There is no difference, the old days and modern days field quanta are the three generations of quarks and leptons.What are yet to be detected are Higgs bosons, magnetic monopoles, and the right-handed species of neutrinos.