The mathematical model forecasting continuous Bitcoin price rise over time, the Bitcoin power law, has been much discussed. Critics—among them consultant Adrian Morris—argue that the approach is basically flawed and more like a “horoscope” than a reliable prediction tool. Those who reject the limitations of the paradigm, in their view, have exaggerated its legitimacy.
Italian physicist Giovanni Santostasi discovered the Bitcoin power law and supports it claiming the model is clear and unambiguous. The power law plots the historical price data on a log-log scale while advocates like Santostasi and mathematician Fred Krueger contend that Bitcoin’s price should remain constantly growing over time. From the development of animal features to the distribution of money, common in nature power concepts have been used to explain numerous phenomena.
Conversely, Morris criticizes the model for “overfitting” data in attempt to explain what he considers to be basically human processes. The latter deals with the nature and properties of matter and energy, so he argues that statistics rather than physics should center the study on Bitcoin. Seeing it as a statistical trick rather than a legitimate scientific model, Morris accuses the power law of exploiting “hindsight bias” and offers broad, non-predictive forecasts.
Santostasi answers by saying one may still see Bitcoin as a physical system with features like energy consumption and difficulty variations even if individuals affect the network and market value of Bitcoin. From the perspective of “social physics,” which uses mathematical techniques to examine social networks, he proposes a structure for understanding Bitcoin’s data.
Morris is still suspicious, contrasting the power law with a horoscope incapable of offering any meaningful predictions. He argues that under the model, the wide range of possible outcomes—such as approximating Bitcoin’s 2045 price between $200,000 and $10 million—renders it unreliable. Like previous models, Santostasi points out that noteworthy changes in Bitcoin’s price might cause the power law to be deemed invalid since it is not perfect. Still, he notes, the model is still a useful tool for understanding Bitcoin’s prospective growth unless demonstrated otherwise.
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