The graph shows the scheme of crystallization of minerals, which, in my opinion, is applicable to the growth of bitcoin and allows us to understand how we can achieve hyperbitcoinization in a relatively short period of time. The blue curve corresponds to the nucleation rate, which describes the formation of free elements; they are eventually added to a crystal lattice. The red line corresponds to the growth rate of crystals, where saturation/crystallization is achieved in the upper right part of the S curve. As you can see in the figure, active crystallization begins only after the phases of equilibrium and nucleation. The intersection of the two lines, which we call the "critical point", is a narrow zone beyond which exponential growth begins and the energy state of the system favors the formation of crystals instead of free elements.
We adapt our model to bitcoin.
The crystallization process started at the moment when the Bitcoin ecosystem appeared. Growth becomes exponential and self-sustaining. In this model, the critical point corresponds to the tipping point at which many people and organizations begin to take bitcoin.
The equilibrium phase precedes nucleation and contains unspecified free elements. In the context of bitcoin, it corresponds to the moment when Satoshi Nakamoto introduced bitcoins to the world, and awareness of it began to slowly spread through key technical and social circles. At this stage, there are mainly public discoveries and first attempts at mining. Although bitcoin had no value to the outside world, energy entered the system in the form of computational work. At some point in the balancing process, a measurable value was created. Perhaps the catalyst here was the first purchase using bitcoin. Laszlo Hanyez gave external value to bitcoin and thus turned it from a means of accumulation (work and energy) into a means of exchange. On May 22, 2010 he bought 2 pizzas for 10 000 bitcoins.
Nucleation is a high energy barrier. In order for bitcoin to move to "crystallization," many different ingredients must be assembled. Bitcoin activity clusters must reach critical sizes so that the benefits of growth outweigh the costs. They take the form of wallets, exchanges, nodes, mining pools, developers, etc.
As nucleation progresses, connections between different elements or nodes of activity begin to be traced: network security improves, hash rate increases, more and more coins are mined and sold, stock exchanges provide asset storage solutions, Fiat-for-bitcoin exchange activity increases, mytaps and conferences attract the interest of visitors who have been outside this circle in the past, and transactions using only bitcoin start in the real world. These are early signs of crystal lattice formation. As in a growing crystal, each new connection strengthens the system by an order of magnitude.
Crystallization is the most "visible" stage. The price rises and bitcoin transactions become ubiquitous. Nucleation prepares the basis for rapid growth of bitcoin. It rises along the S-curve, entering a stage of faster spread. At this time, Bitcoin will experience more organic and self-organizing processes, which largely resembles the process of crystal growth. As the elements unite, they reduce their energy state and become more stable. The energetic advantages of crystal lattice formation outweigh the costs. A similar phenomenon is observed in hyperbitcoinization - it will become more expensive to refuse bitcoin than to accept it.
After passing the critical point, the nucleation of bitcoin will continue, albeit at a slower rate. In any case, this sequence of events is key to the success of Bitcoin and involves widespread systematic dissemination among institutions and governments. Without these key players, bitcoins can fail in the saturation and stabilization phases and remain doomed to unacceptable levels of volatility.
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