Dysfunctional analysis

[AntonioLao]

In mathematics, functional analysis studies theory of vector spaces and linear functionals. A vector space is defined as a group or set whose elements satisfy the commutative property of addition which they also satisfy the associative property of multiplication. Hence, a vector space is equivalently a linear space. However, only one to one or many to one relationship define a functional. That is to say that one or more elements in the functional domain set can be mapped to only one element in the functional range. If the relationship becomes many to many then it is defined as a dysfunctional relation and the study of these dysfunctional relations is called dysfunctional analysis.

The simplest dysfunctional relation is a 2 to 2 relationship shown by the following diagram:



However, this effective relation optimizes the repulsive interactions since |j(a)|=|j(b)| and |y(a)|=|y(b)|. Furthermore, if a given j is defined as the infinitesimal orthogonal force and a given y is defined as the infinitesimal metric then the absolute product of each |j| and |y| defines a minimum energy configuration at the infinitesimal domain of spacetime. A double products of |j(a)||y(a)| and |j(b)||y(b)| defines a square of energy as an absolute quantum whose integral forms a true field of absolute vacuum.

[baudrunner]

I'm pretty sure that you know what you're talking about but I'm not sure that that is necessarily a good thing, but of course if it makes you happy then by all means yes, let's all get dysfunctional!

[mkirkpatrick]

Antonio,I had to stop myself from thinking about the many group therapy
sessions I have been involved in where Dysfunctional analysis was about
peoples inability to function in life?So meanwhile back at the ranch,you said
in your post about an absolute vacuum,has one been found yet?I was thinking more of the Void,which to me the universe is expanding into,as being
more of a perfect vacuum?The partial vacuum is the "space"we all occupy!
Maybe Dysfunctional analysis could find away to equate say a Binary Void,
one in which we are expanding into,set at 1,and a Void set at 0.The two
being seperated by a single Point?


kind regards michel.

[AntonioLao]

Maybe Dysfunctional analysis could find away to equate say a Binary Void, one in which we are expanding into,set at 1,and a Void set at 0.

I am trying to work out a theory which avoid the use of the null set instead a set whose elements lie between 1 and infinity. This approach avoid the use of complex numbers.

[Guille]

Antonio,

This 'dysfunctional analysis' is very similar to my idea of the way the fundamentals exist. Being liek this:
j(a)=Energy
y(a)=Force
j(b)=Space
y(b) =Time
And the relationships between my four terms are the same as those in yours. I don't know though if the mathematical relationship still is true? Maybe yes, and we didn't know up to now.

[AntonioLao]

Maybe yes, and we didn't know up to now.

The inputs for the black box can be anything you choose but the outputs can be very surprising as what the evolution of life has shown. Nevertheless, the process takes a very, very long time.

[theunify]

The dysfunctional analysis presented can be used as a basic tool to free the terms of the infinity vector matrix known as time; because we do not generally think of time as never existing we can eliminate the need to extend it to null, or anti-null sets. This however is unprovable as a basis for conjecture because the group of which we are speaking is inherently undefinable.

A radical solution might be to disregard the operators (-) (x) and (/) in any solution of relation.

[AntonioLao]

the group of which we are speaking is inherently undefinable.

The radical definition would be a Lie group, an infinitely differentiable manifold for the existence of a tangent fiber bundle.

[theunify]

I disagree on lie groups Antonio. In order to group a set the operators are implicitly implied.

How do you think any post relativity mathematics can survive when they rely on singular arguments such a grouping?

[AntonioLao]

Lie groups are mathematical constructs of perfect symmetry.