[AntonioLao]

At thermal equilibrium, the population (N) for each energy state (E) of an atomic system is inversely proportional to the natural exponential function of energy divided by the product of Boltzmann’s constant (k) and the absolute temperature (T) where constant of proportionality is arbitrarily set to unity: N=1/exp{E/kT}. An equivalent expression is that the product of N and exp{E/kT} is unity: Nexp{E/kT}=1. At different energy states, their populations hold the same unit proportion. Therefore, N(1)exp{E(1)/kT}= N(2)exp{E(2)/kT}= N(3)exp{E(3)/kT}= N(4)exp{E(4)/kT}= N(5)exp{E(5)/kT}= N(6)exp{E(6)/kT}=…= N(∞)exp{E(∞)/kT}. These imply that E(1)< E(2)< E(3)< E(4)< E(5)< E(6)<…< E(∞) while N(1)>N(2)>N(3)>N(4)>N(5)>N(6)>…>N(∞). At both extreme, if E is exactly zero then N is exactly infinite and if E is infinite then N is exactly 1. Since infinite energy is not physically realizable (equivalently, infinite shift of the Hamiltonian cannot be measured), the population can never be exactly 1. At the least, N=2.

The philosophical implication of this dualism is that in any domain of reality there always exist two independent fundamental principles, for examples: field (wave) and particle, yin and yang, mind and brain, form and content, potential and kinetic, passive and active, left and right, top and bottom, front and back, life and death, good and evil. Since these dualistic principles are perfectly and absolutely symmetrical in the infinitesimal domain of space-time, understanding them requires a principle of directional invariance for all local infinitesimal motions, uniform or non-uniform; equilibrium or non-equilibrium. Nevertheless, the minimum population number is always 2.

[mkirkpatrick]

Famine and disease are the usual population decreasers,we are dangerously close to being overpopulated-guess who is coming lunch?



regards michael.

[Profpat]

Would this indicate you can kiss singularity goodbye, in that we will always have dualism; ( positive/negative, action/reaction, attraction/repulsion, yin/yang )?

Best,

Pat

[AntonioLao]

Originally Posted by mkirkpatrick guess who is coming lunch?

The mystery guest will show up only if the menu is clearly visible and understandable.

Originally Posted by Profpat can kiss singularity goodbye

Not a goodbye kiss but a welcome kiss since we need another sigularity to do the kissing, the kisser and the kissee.

[Profpat]

Well if Yin is the kisser and Yang the kissee we are back to dualism again, are we not?

[mkirkpatrick]

Originally Posted by AntonioLao The mystery guest will show up only if the menu is clearly visible and understandable. Not a goodbye kiss but a welcome kiss since we need another sigularity to do the kissing, the kisser and the kissee.

The menu grows ripe with the multitude assembled outside,the reaper is sharpening
his sickle.


regards michael.

[Profpat]

God Michael that sounds like REVELATIONS.

[mkirkpatrick]

Originally Posted by Profpat God Michael that sounds like REVELATIONS.

It will be a revelation Pat when he comes chapping on your door,Don't answer the door
for God's sake,ther's no one there,we are all deaf!



regards michael.

[Profpat]

What did you say Michael? I'm a little hard of hearing.

[mkirkpatrick]

Originally Posted by Profpat What did you say Michael? I'm a little hard of hearing.

i am too,plus I partially sighted,I see no one,was that the door again Pat?




regards michael.