[AntonioLao]

The continuous Lie groups of all gauge theories describe elementary particles almost completely. Furthermore, these necessarily satisfy all four relational rules or properties of those mathematical structures among elements of the common groups.

Property 1 – products of elements also belong in the groups.
Property 2 – group elements are associative.
Property 3 – an identity is a unique element of each group.
Property 4 – Each element has an inverse which is also a member of the group.

Members belonging to Hadamard Orthogonal N-dimensionally Extended Space-Time (HONEST) groups require only property 1 and 2 for their descriptions which in addition to elementary particles also include virtual particles and the quantum vacuum.

[mkirkpatrick]

I cannot quite get my head around this one Antonio!Is there a more
straightforward way of representing this idea?

regards michael.

[AntonioLao]

Their true representations are Hadamard matrices http://en.wikipedia.org/wiki/Hadamard_matrix

[mkirkpatrick]

Originally Posted by AntonioLao Their true representations are Hadamard matrices http://en.wikipedia.org/wiki/Hadamard_matrix

Thank you for the link Antonio,why do I feel a headache coming on
all of a sudden?
regards michael.

[AntonioLao]

Because Hadamard matrices all have zero determinants hence they are square singular matrices as well.

[theunify]

It is like the use of your name Michael! How many Michaels are there? That's why you have a last name...Now how many Michael Kirckpatricks are there? Now that's why you have an adress...and so on.

Until you reach the particle lever your uniqueness is not mathematically "guaged" as in ascertained.

The game of bowling is a gauged game, each individual game is set up with numbered pins which are absolute identifiers and a ball. "ball" "pin1" "pin2" "pin3" "pin4" "pin5" up to "pin10" I'm told.

To a mathematicician if we know that on average you make a strike resulting in all the pins falling down then we can say, "pin1"+"pin2"...+"ball",Michael = Strike....

By understanding that your first name last name and address are not fundemental and that it may not be possible for the TOE to gauge your uniqueness it's still true that you are Unique.

Conclusion. Gauge theories are the result of a true uniqueness unobservable by conscienceness.

[mkirkpatrick]

Originally Posted by theunify It is like the use of your name Michael! How many Michaels are there? That's why you have a last name...Now how many Michael Kirckpatricks are there? Now that's why you have an adress...and so on. Until you reach the particle lever your uniqueness is not mathematically "guaged" as in ascertained. The game of bowling is a gauged game, each individual game is set up with numbered pins which are absolute identifiers and a ball. "ball" "pin1" "pin2" "pin3" "pin4" "pin5" up to "pin10" I'm told. To a mathematicician if we know that on average you make a strike resulting in all the pins falling down then we can say, "pin1"+"pin2"...+"ball",Michael = Strike.... By understanding that your first name last name and address are not fundemental and that it may not be possible for the TOE to gauge your uniqueness it's still true that you are Unique. Conclusion. Gauge theories are the result of a true uniqueness unobservable by conscienceness.

Well thank you theunify,so my name is not unique then!Just plain michael.
That clears it up for me!

regardsmichael.