In a recent article of mine  I hinted my strong suspicion that scaling is itself scalable.
''Scaling is a problem. Scaling must be scalable, too. Metascale from here to Eternity.''
No matter what a terrific grower a system is - as per its own internal algorithmic growth drive rules - it seems inevitable its growth to get it into entropic mutualization  upon impact with a kind of a ... downscaler.
Scaling is everything, yeah. But it is quite intuitive and supported by too big body of evidence to ignore, that, paradoxically: the faster a thing grows - the sooner its encounter with an external and bigger downscaling factor comes.
This realization, refracted through the prism of our 'reptilian brain' layer  amplified to gargantuan proportions by our inherent social hierarchicity  is the source of the 'Malthusian  anxiety' which led to countless violent deaths over all the human history. Fear is anger , so the emotion that there is only as much to go around, and that the catastrophe of 'running out' of something is imminent, is the major source of what makes us bad to each other .
There are plethora of examples of very well mathematically and scientifically grounded doomsayer scenarios, and we must admit that they all correct as per their internal axiomatics  , and simultaneously they are all totally wrong for missing out the obvious - the factors of externalities  , the properties and opportunities of the medium which is consumed and/or created by this growth, and which transcend the axiomatics. For growth being always 'growth into'. The fact that doomsday scenarios are so compellingly consistent internally is what makes them so strong and dangerous ideological weapon of mass destruction .
Lets throw some such problem-solution couples for clarity:
a. the world of 1890es big cities sunk up knee-deep into beast of burden manure , and the super-apocalyptic projections of that VS Tony Seba's  1 pic > 1000 words of NYC carts vs cars situations in 1900 -1913 ...
b. the grim visions of the whole Mankind becoming telephone switchboard blue collar workers , the number of which should've exceeded the number of total world population by now to achieve the same level of telephonization or
c. the all librarians world  where it takes more librarians than the whole mankind to serve the social memory in the paper & printed ink storage facilities mode ...
d. the Club of Rome  as the noisiest modern bird of ill omen with 'projections' based on the same blind extrapolations as the urban seas of shit or the 'proofs' of the impossibility to connect or educate or feed all - instigating mass destruction fear that ''we run out of everything and will soon all die'' , used for justification for mass atrocities VS Julian Simon's  - the ''Ultimate Resource'' (1981, 1996) . Cf.: my accelerando article  and see what precisely is the Factory for succession of better and better Hanson drives for the last few millions of years - from the Blade and the Fire to the Tau - it is the same thing which identification made Julian Simon from fanatical Maltusianist  into rationally convinced Cornucopian  ... the human mind.
e. the predator-pray model  which this pseudo-haiku  I guess depicts best how's it brutally flawed:
''hawk eat chic -> less chic, human eat chic -> more chic''
for missing out to posit and failure to account for positive feedback loop  of predator over pray dynamics ...
f. The comment of Dary Oster  , founder of the other passion of mine - ET3 , on the aka 'saturation' of the scalables (exemplified in the field of transportation, which btw, being communication ... our social structures map onto mobility systems we have on disposal ... ).:
''... US transportation growth has focused on automobile/roads (and airline/airport) developments. (And this has been VERY good for the US economy.) The reason is that cars/jets offered far better MARKET VALUE than horse/buggy/train transport did 150 years ago. In the mid 1800s, trains displaced muscle power for travel between cities - because trains offered better market value than ox carts. Trains reached 'market saturation' about 1895 to 1905 (becoming 'unsustainable') - however 'market momentum' produced 20 years of 'overshoot'. Cars/jets were far more sustainable than passenger trains and muscle power, and started to displace trains (and finish off horses). By 1916 the US rail network peaked at 270,000 miles (today less than 130,000 miles is in use).Just like passenger trains hit market saturation, roads/airports are reaching economic limitations. The time is ripe for a market disruption, and all indicators (past and present) say it will NOT come from, or be supported by government or academia -- but from private sector innovations that offer a 10x value improvement (like ET3), AND also offer incentives for most (not all) key industries to participate (like ET3). Automated cars, smart highways, and electronic ride sharing are industry responses that will contribute to overshoot of cars/roads for the next 5-10 years.The main problem i see with the education system is that is that academic research and publication on transportation is primarily funded by status quo industries like: railroads and rail equipment manufactures, highway builders, automobile/truck manufactures, engineering firms, etc. -- all who fund research centered on 'improving' the status quo.Virtually all universities (for the last 1k years+) are set up to drive incremental improvements that industry demands, and virtually all paradigm shifts are resisted until AFTER they occur and are first adopted by industry. Government is the same (for instance in 1905 passing laws to forbid cars that were disrupting horse traffic; or in 1933 passing laws to limit investment in innovation startups to the wealthy (those successful in the status quo)).''
g. Darwinian algo  sqrt(n) VS higher algos - like Metcalfe n^2 . It is not precise, it is more of metaphorical, to indicate direction or scale of scaling, rather then rigorous precision, but ... the former figuratively speaking takes 100 times more to put up 10 times more, and the later takes 10 times more to return 100 times more...
h. Barter vs money. See.:  bottom of page 5 over the bottomline notes, about the later:
simpliﬁes pricing calculations and negotiations from O(n^2) complexity to O(n) complexity
As demonstration how one item out of a scaling barter system, emerges as specialized transactor and accelerator to transcale the barter economy. From within. Endogenously as always. (btw, Extremely strong document where there are entire books read and internalized behind each tight and contentful sentence!)
i. The heat death of the universe  VS the realization that the 2nd law  - conservation law for entropy/information law does not allow that , the asymptoticity  of the fundamental limits of nature, the fact that max entropy grows faster than/from/due to the actual antropy growth  and that entropy is not disorder  and that at the end of the day it is an unbounded immortal universe  ... cause it's all a combinatorial explosion .
j. The Anthropic principle  and the realization that it is extremely hard if not impossible to posit a lifeless universe  ...
k. The Algoverse - my 'psychedelic' vision  of the asymptotic inexorable hierarchy of the Dirac sea  of lower algos which take everything for almost nothing - up towards giving almost everything for almost nothing - Bucky Fuller's runaway Ephemeralization . Algorithms are things. Objects. Structure. Homoousic or consubstantial to their input and output. Things taking things and making things outta the former. Including other algos of course! Stronger ones.
l. The Masa Effect . The Master of Softbank seeing how the machine productivity is on the imminent course to massively overscale the human clients base and his apparent transcaling solution to upscale the clients base with bots and chips, with the same which scales supply in such a too-much way. 
m. The Pierre the Latil 1950es and Stanislaw Lem 1960es ( copied 1:1 by Tegmark  ) hierarchy . Of degrees of self-creating freedom of Effectors ...
n. Limits of growth - present in any particular moment and in any finitary setting of rules ,  but nonexistent in the infinity of rules upgradability. Like a cancer cell trapped in a cage of light  vs ... photosynthesis.
o. Ray Kurzweil - static vs exponential thinking .
p. Craig Venter's  Human Genome project  which when commenced in 1990 was ridiculed that will be unbearably expensive and will take centuries to finish, and it did - it costed a unbearable for 1990 fortune and it did take centuries, of subjective time as per the initial projections conditions - being completed in year 2000.
q. Jeff Bezos vision  of Solar System wide Mankind:
''The solar system can easily support a trillion humans. And if we had a trillion humans, we would have a thousand Einsteins and a thousand Mozarts and unlimited, for all practical purposes, resources.''
r. The 'wastefulness' of data centers and crypto mining collocation facilities  ... which is as funny as to envy the brain for 'wasting' >25% of the body energy. (Btw, the tech megatrend is exponentially and relentlessly towards the minimum calculation energy).
s. The log-scale intuitive measure and smooth straight line visualization coming out of, this quote which I fished out off the net long time ago.:
"The singularities are happening fairly regularly but at an increasing rate, every 500 to 1000 billion man-years (the total sum of the worldwide population over time). The baby boom of the 1950 is about 200 Billion man-years ago."
ops! go back to Q. With 1 trln. humans population the 'singularities' will occur once a year?!
t. the Tau  !!
I can continue with these examples ... forever [wink] - excuse me if I've bored you - but I think that at least that minimum was needed to be shown and it is enough to grok the big picture.
Scaling is the solution. It is a problem too. Its overcoming is what I dub 'Transcaling' for the purpose of that study.
Size matters. Scaling is the way. But the more general is how a system handles change! This is as fundamental as to be in the very core of definition of life and intelligence .
Tauchain is all about change handling!
Now, lets knit the 'blockchain' of these all example threads above into a knot like the Norns do :
Dear friends, please, scroll back to Example D. Yes, the human mind transcaler thing. The Ultimate resource thing.
We are the ultimate resourse.
We the humans (and soon the whole zoo of our technological imitations and reproductions and transcendences of ourselves ).
We as the-I  are strong thinkers and creators, immensely more road lies ahead than it's been traveled, yes, but yet we, as the-I, are the momentary apex in the Effectoring business  in the Known universe ... AND simultaneously we as the-We are mediocre to outright dumb.
We are very far from proper scaling together. The Ultimate resource is not coherent and is not ... collimated. Scattered dim lights, but not a powerful bright mind laser. Dispersed fissibles, but not a concentration of critical masses.
We as The-We - paradoxically- persistently finds ways to transcale its destinies using the power of the-I, but the-We itself does not entertain the scaling well at all .
The individual human mind is the unscaled transcaler.
Tau is the upscaler of that transcaler.
I'll introduce herewith another 'poetic' neologism, which occurred to me to depict the scaling props of a system after the Scrooge factor of ''Tauchain - Tutor ex Machina'' , and it is the:
Spawn  factor
- the capacity and ability of a system to grow through, despite, against, across, from and via the changes. Just like cuboid  is about all rectangular things like squares, cubes, tesseracts ... regardless of their dimensionality, the Spawn Factor - to be a generalization of all orders of scaling. Zillion light years from rigor, of course, as I'm on at least the same distance from my Leibnizization . For the lawyer to become a mathematician is what is for a caterpillar to become a a butterfly. :) Transcaling.
Tau transcends the infinite regress of orders of: scaling of scaling of scaling ... by being self-referential. Or recursive. 
What is the Spawn factor of Tau?
If you let me I'll illustrate this by a poetic periphrasis of the famous piece of Frank Herbert's .:
I will face my change. I will permit it to pass over me and through me. And when it has gone past I will turn the inner eye to see its path. Where the change has gone there will be nothing. Only I will remain.
Lets build an universe , . I realize this blog post is the most 'psychedelic' up to now and for long time to go, but some 'poetry' never really hurts ...
We discussed already the worldmaker effectoring .
It is quite ancient but also exponentially growing business ... in all possible forms of science , faith  and art . This modeling  usually serves to play out what's possible and what's impossible. Gedanken eksperiment , yeah, but isn't all thought  merely algorithmic  and mere action  ?
Usually the posited universes are made of variations and combinations of substance/matter, structure/form and action/process rules. Though, the algorithmic component is always the essential ingredient. Yes, the Laws of Physics are full-fledged, literal algo , too. I have those conjectures that it is impossible to think out, make or discover (which is one and a same thing) a lifeless universe  and that substance-structure-action are inexctricable, but these are separate topic for some other times to address .
Lets put together ours toy-universe  out of only pure algorithm. I've never seen such a construct, although the Orbis Tertius  is enormous and I bet this vision have occurred gazillions of time in zillions of minds.
It is like an ocean. The primary coin-toss algo which outputs 0s and 1s  makes the water. We don't know (yet) if there are even deeper and more fundamental numerical bases  for running algos. Most probably the answer is yes by analogy with the Dirac Sea  - the deeps to be made of simpler and weaker algos. The most elementary coin-toss thing makes out the ... probabilistics, perhaps the primordial form of logic. The laws of physics (and of machine learning  and of darwinian evo algo  ...) tell the rule-set how to stitch together lotsa coin-toss outputs. A hint on inspiration for that - David Deutsch's Constructor theories . The laws of physics as entropy  limitation of the allowed elementary algo cumulative output. For information being a verb, not a noun - isn't it? Very interested philosophic perspective on algorithm as randomness constrictor  raise up...
So, if the Algoverse ocean water is made of elementary coin-toss molecules, being ''liquid'' is just another phase or aggregate state .
There is deep duality  between probabilistics and logic. Just like the zoo of dualities discovered in accelerating pace by the mathematical physics in the last decades  Probability/statistics we make now by logic , the reverse ... - well, nobody yet cracked it. Even Kolmogorov. But I bet we will. Most probably the breakthrough will be Ohad Asor name-labeled... To find the know-how to do it the other way round, do logic with probability/statistics. The statistical algorithmic - not the SAT , brute force, alchemist  way as with NN/ML ,  and other known beasts. This will be nothing less but full merger of maths/logic/philosophy/thought... and physics. Literally!
Excuse me for the haiku  simplification. It is deliberate due to realization of my grok constraints. :) Regard it as sharing a poetic impression.
Is there deeper and weaker algo than the digital - the radix-2, deterministic, unitary one? Intuition says ''yes, of course!'' Like with these radix-1 Half-coins  of negative and other non-unitary probabilities ... which take two tosses to yield a bit... and there must be transfinity  of lower ones, also transfinities of higher and sideways ones ... which is almost as counter-intuitive as Dirac's bottomless night of negative energy , but I bet also as much useful. (Lets not even touch numeral bases of Pi, i, e ... etc.), and lets stick to strictly binary 'water' for our oceanic toy-universe for the sake of sanity.
The next important notion of the Algoverse ocenic model is the Algorightmic strength  - the weakest algo would be that which takes infinity of tosses to get a full bit. The strongest?
Algorithmic ephimeralization  - essentially to do more with less. Or faster - Speed Prior  ... which is just another way to say 'more'.
Some algos are too strong - QM, M-Theory - they return way too much bits per 'toss'. Their vcdim  converges to infinity. Exponential walls  in all directions. Not exactly what Freeman Dyson had in mind ... In our ''mockup'' they could be depicted as too hot. Changing the phase of the elementary algo 'water'. Like.:
but because we are all for peaceful use of algorithmic energy - we reject those up here, too - together with the non-unitary statistics down there.
Last piece of the picture - the Algoverse ocean is habitable and inhabited!
By higher algos as life-forms, stronger - but not so strong to turn the 'water' into roaring steam or plasma.
Examples: Calculi , geometries, algebras ... software . The genetic inter-algo connection should be that calculus came from Leibniz and Newton and numerous unknown others ... heads, but it is the blind watchmaker  of evolution which put those heads together ... (I disagree with Dawkins only on that evolution and design are both algorithms, alternatives but not opposition).
Thus entropically  and combinatorially  algos kinda-sorta come from one another - the stronger from the weaker.
The stronger are the life-forms living in that ocean. Cause randomness  permeates everything, isn't it?
Not so far-fetched of a metaphor given the fact that any Effector-ing  has totally algorithmic nature and essence.
How much higher 'life form' Tauchain in the Algoverse ocean is?
Is it mere life form or ... life, new organizing principle to reform all the system?
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