Does not the compression for a supplied state depend upon the compression algorithm (I generally suggest lossless), during which scenario the entropy you assign to get a state will depend to some extent on how properly the compression algorithm compresses that individual pattern.

Can we deduce systemic "regulation" (tautology) from any aggregations of community condition, Regardless how remarkably consistent? Not a minimum of In accordance with Shannon entropy: A trillion heads in a very row from the random variable would not alter the 1/2 probability of the next head falling. Gödel incompleteness arrives at precisely the same summary in a more qualitative way.

Evidently the way in which physicists use data concept in recent times is quite unique. Is definitely the universe manufacturing new coins each and every 2nd since the bing bang? And what precisely defines a 'closed technique' in the data theoretical definition of entropy?

The notion of your "Houses" of knowledge is intriguing and deep. Superficially, details concept treats portions basically as statistical distributions of symbols. At this stage it is straightforward to check out correspondences in between qualitative notions for instance thermodynamic heat as well as quantitative information and facts theoretic idea of random noise -- for this reason we'd conclude that these really are expressions of a similar factor: entropy. To me this can be a precious and essential act of reasoning but is just not in itself a summary.

.. In the Popper viewpoint, I like to imagine that info lies in between the two greatest and observed entropies (Which will be the minimum number of bits needed to describe the rest).

Then I began reading some cosmologists and found that numerous consider the most observable entropy in the universe is escalating, slower than the utmost doable entropy. So even when there is a progress the gap among The 2 gets bigger eventually.

Rene -- The entire stage is the fact that as long as you 'freeze' the coins inside of a situation of all heads, the knowledge material is zero

Also the oscillation across the ionization stage offering infinite levels of freedom of the ionic discipline, along with the distinction of field and quantum entropies pressured by Penrose.

If I fully grasp All of this, it would seem that all the particles and Strength sorts from the universe have click here now "universal" charateristics which include temp and/or mass which might be quite correctly measured if contemplated within an isolated point out, free of outside forces. Then as you let two or maybe more with the particles and forces to interact the possiblilities in their behavoirs and point out variations increase; insert a few or four and the chances grow more quickly.

You might say the N bits represent the state of the Turing machine. Through which scenario the very easily recognised information gets to be steadily extra scrambled even if no bits are actually misplaced. There arrives a degree where by we look at a a jug of luke-heat drinking water and say "effectively it began off to be a pint of sizzling and a pint of cold, but it surely's irrevocably blended up now so we should estimate the entropy all another time."

I forgot to good mention some significant aspects. For example, that ΔS = Q/T also demands the method to generally be isothermal. If temperature varies the expression just isn't legitimate and should be generalized.

I do think many of us concur that any point out that accidentally reveals up from the tossing of ten coins demands 10 bits. It doesn't issue When the point out is HHHHHHHHHH or TTTTTTTTTT or HHTHTTTHHT. The one thing that matters is the overall number of realizations that 'might have been'.

I necessarily mean, It is very clear that information and entropy behave a similar click here for more info way, but could we are saying You will find a greatest of knowledge inside the universe, not reachable and expanding continuously? Will we hope that for the cold finish of enlargement both equally the noticed and optimum entropy are likely to be the identical (how will they catch up with?

-- or Otherwise solely quantitative, one that at really least is equidemensional. All of us panic the consequence of letting excessive bullshit into "your body of data" but science is far greater Geared up at disproving and disputing BS than it's at recognizing the gaps (yawning chasms) that persist due to extreme filtering.

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