[brueggert]

Originally Posted by AntonioLao These high densities regions could the the blackholes. Their probabilities of existence is unity but their entropies are negative. The probabilities of the same event reconnected again is likely to be closed to zero as in having the same mind born in a different brain or body.

I disagree- black holes have the maximum possible entropy allowed within a given surface area. The (Bekenstein-Hawking) formula for the entropy of a black hole (S=kA/4l^2) contains Boltzmann's constant, the event horizon area, and the squared Planck length, none of which is negative. Anyway, I still don't see how one can say that the connectivity of two events at the same time is exactly singular for all possible places in and states of the universe.

[AntonioLao]

if blackholes are not negatively entropied then where can we find all the disorderly random state vectors? Entropy is defined as the increase in randomness but blackholes are swallowing both mass and energy and its location in spacetime is a certainty. In a sense, it is doing the reverse by tranforming chaos into orderliness.

[brueggert]

Originally Posted by AntonioLao if blackholes are not negatively entropied then where can we find all the disorderly random state vectors? Entropy is defined as the increase in randomness but blackholes are swallowing both mass and energy and its location in spacetime is a certainty. In a sense, it is doing the reverse by tranforming chaos into orderliness.

In the form of Hawking radiation and inside the black hole, as evidenced by the growing event horizon for some black holes. Although, Hawking recently admitted that there is some order that also emerges from a black hole.
The "location" of something inside of a black hole depends on the distance from some known point to it. Light can come to a halt at the event horizon, so how many light years is it from a point outside of a black hole to a point inside of one? If you are saying that it has a location in spacetime, then I agree. If you are saying that this location is "well defined", then I disagree.

[TinyTree]

Entropy is defined as the increase in randomness.

This is not true. This was posited by an 19th century physicist and has since been retracted as official canon. Entropy is defined as the increase of distribution of usable energy through degrees of freedom.

[AntonioLao]

Originally Posted by TinyTree Entropy is defined as the increase of distribution of usable energy through degrees of freedom.

Just like taking all the money in the bank and distribute evenly among everyone? If this so then nobody needs to work for a living. If there is no work then no energy is being wasted.

Originally Posted by brueggert If you are saying that this location is "well defined", then I disagree.

to be well defined we need to be motionless but this is impossible. However, the blackholes are motionless in spacetime. To them we are well defined. To us they are not well defined.

[TinyTree]

Originally Posted by AntonioLao if blackholes are not negatively entropied then where can we find all the disorderly random state vectors?

We find them inside living organisms (n DNA)- and inside the propagation of culture, which preserves improbable state vectors. Increasing randomness = decreased probability of the state vector.

Originally Posted by AntonioLao Entropy is defined as the increase in randomness but blackholes are swallowing both mass and energy and its location in spacetime is a certainty. In a sense, it is doing the reverse by tranforming chaos into orderliness.

Blackholes mess with probability in two ways: they take all atoms coming into them and "push them into a black hole", essentially removing them from the distribution of potential states they could exist in. If we consider this new state as "one state" and all atoms enter this "one state" then it is reducing the number of permutations which they can reside in. Depending on the definition of the partition function- this may or may not be changing the entropy (according to classical thermodynamics). But if it is changing the entropy- it is most likely to be defined as moving towards a more improbable state. However, note that entropy refers to THE PROBABILITY OF THE STATE VECTOR EXISTING IN ONE OF MANY STATES which is not the same thing as THE PROBABILITY OF THE STATE VECTOR EXISTING IN A SPECIFIC STATE.

Sorry for the all caps but that is the whole theory right there, and I like to capitalize it for your enjoyment.

I'd like to see the reference to Hawking calculating Entropy of a black hole, and what the partition function he is using is defined to be.

[TinyTree]

Originally Posted by AntonioLao Just like taking all the money in the bank and distribute evenly among everyone? If this so then nobody needs to work for a living. If there is no work then no energy is being wasted.

You may be saying this facetiously but actually the entropy of systems like this have been explored (the entropy of financial systems). Entropy is tied to the definition of the partition space of the phase space. If you are curious I will dig up some references and we can look at them.

If I can figure out how to use latex with this parser I will put some hard math equations to these nebulous ideas.

[AntonioLao]

Originally Posted by TinyTree We find them inside living organisms (n DNA)- and inside the propagation of culture, which preserves improbable state vectors. Increasing randomness = decreased probability of the state vector.

State vectors collapse at the boundary between quantum and classical domain as described by the principle of complementarity into degenerate wave functions when the energy spectrum becomes continuous.

[TinyTree]

Originally Posted by AntonioLao State vectors collapse at the boundary between quantum and classical domain as described by the principle of complementarity into degenerate wave functions when the energy spectrum becomes continuous.

Ah yes, the collapse of the boundary of quantum systems is still what I would call somewhat ill defined (regarding the requirements of a sentient observer and all, which i consider nonsense)

I am using state vector to mean "the specific configuration of matter, which would include the position, orientation, and energy of every particle/and or/ physical entity of the system" which can be imagined as a very very large vector, describing the systems position in phase space. I am not sure how you are using the term.

As for the energy spectrum becoming continuous- actually as I understand it light is made of photons that occur at specific spectral intensities. How do you understand it differently?

[AntonioLao]

Originally Posted by TinyTree I will put some hard math equations to these nebulous ideas.

The harder they come they harder they fall. A simple concept does not need complicated equation for its description. What is really going on with the energy that is everywhere? Its density? Entropy is just describing the variability of this energy density. Energy can only become useful when a potential difference exists like potable water at the top of the hill supplying downhill communities.