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function vs dysfunction - 04-04-2006, 01:53 PM

In mathematics, the word ‘function’ is defined by the following web-link http://en.wikipedia.org/wiki/Function_(mathematics). However, the word ‘dysfunction’ has no mathematical meaning until now. Although its meaning in biology is downright derogatory, its new meaning in mathematics will be superlative and super-fantastic. Its mathematical definition is that of a many-to-many correspondence between the domain and the range or the codomain. To prevent any progressive confusion, the domain is changed into positive vacuum (pv) and the range is changed into negative vacuum (nv) or vice versa. The elements of pv are the H-pluses and the elements of the nv are the H-minuses. Furthermore, there are dimensional levels for both pv and nv called LOE for level of existence. A given LOE signifies a state of space-time quantization.
From a perspective of human consciousness, there should be just four levels of LOE corresponding to the four dimensional Minkowsky space-time (see http://en.wikipedia.org/wiki/Timelike) of Einstein’s special and general relativity. A dominant force exists within each LOE. Starting at the fourth level it is rules by gravity. Electromagnetism rules the third level. The nuclear weak force rules the second level, and the strong nuclear force rules the first level. To be continued.


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
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04-05-2006, 01:59 PM

continuation...

In accordance with concepts of space-time curvatures of general relativity, pv would then correspond to positive principal curvature and nv negative principal curvature (see http://mathworld.wolfram.com/PrincipalCurvatures.html and http://en.wikipedia.org/wiki/Curvature). Their sum is defined as the mean curvature of space-time. In cosmology, the mean curvature is clearly related to the cosmological constant (L). Most recent astrophysical observations determine its value as L» 0 (see http://en.wikipedia.org/wiki/Cosmological_constant). In light of dysfunctional analysis, the observed value of L implies that the total number of H-pluses is equal to the total number of H-minuses. Since these H’s represent space-time quanta at different states of quantization, they can be used to represent various physical observables such as mass, electric charge, energy, force, linear and angular momentum, pressure and volume. It can also represent the extrinsic thermodynamic properties of temperature, entropy, and heat flow. So, globally speaking (definitely not locally) when total H-pluses and H-minuses are equal in number then these physical observables should likewise be equal. That is matter=dark matter, energy=negative energy, pressure=negative pressure, equality of opposite linear and angular momentum, etc.


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
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04-05-2006, 05:41 PM

And if the total H+ and H- are equal, is KE equal to PE?
  
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04-06-2006, 12:42 PM

Quote:
Originally Posted by GUILLE
And if the total H+ and H- are equal, is KE equal to PE?
Actually, both KE and PE become zero. So we could say they are equal.


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
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04-06-2006, 04:38 PM

Quote:
Originally Posted by AntonioLao
Actually, both KE and PE become zero. So we could say they are equal.
One more thing, is the dimensionality of KE different to the dimensionality of PE (even though, as they are both types of energy, they must be in the same LOE)?
  
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04-07-2006, 02:26 PM

Quote:
Originally Posted by GUILLE
One more thing, is the dimensionality of KE different to the dimensionality of PE
Each LOE should have its distinctive PE and KE. The PE's manifested as matter and mass while the KE manifested as energy but both are from each level of square energy quantization of spacetime.


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
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families are dysfunctional,are atoms too?
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Smile families are dysfunctional,are atoms too? - 04-07-2006, 07:31 PM

Working and not working would discribe this formula more succinctly I feel,
It unwraps to me as a form of binary code,a 1 and 0.Where a lot of spin meets no spin?Consciousness,would appear to beset at 1!




kind regards michael.


Humilty,coupled with boldness,surprises truth to
reveal herself?
  
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04-08-2006, 03:41 AM

Quote:
Originally Posted by AntonioLao
Each LOE should have its distinctive PE and KE. The PE's manifested as matter and mass while the KE manifested as energy but both are from each level of square energy quantization of spacetime.
Couldn't we say PE is manifested as matter and mass and KE is manifested as motion and heat (it would be parallelism, matter-motion and mass-heat)?

Isn't the sqaure of energy always in the same LOE?
  
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04-10-2006, 01:01 PM

Quote:
Originally Posted by GUILLE
Isn't the sqaure of energy always in the same LOE?
The square of energy has its representation in every LOE. The higher the LOE the more degrees of freedom for the flow of energy.


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
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