There is a very smart group of individuals all doing deep research right now to optimize and potentially fix some fatal flaws in the current Bitcoin power law. @sminston_with @LeomathHeart @btcanalytica @BitcoinPowerLaw @TheRealPlanC Everyone is doing their own individual research, but we are all discussing our ideas together, debating and working collaboratively to get to the bottom of this rabbit hole. I want to give a shout-out to all those individuals who are open-minded enough to go against the consensus status quo on the best way to model the power law. In my opinion, right now is a renaissance in discovering many things related to the power law that have never been investigated as they should have been. Weighting of fit and the Jacobian adjustment, which I first brought up in the group chat weeks ago, is a hot topic of debate right now. The Jacobian adjustment (w = 1/t) corrects this by weighting each observation inversely by its time from start day, perfectly equalizing the influence of data across log-time. Start-day optimization: most if not all of the group seems to be questioning the genesis start point. We are also discussing decay issues and where the true power law lives. Sminston and I both independently discovered and validated that the bottom quantile floor follows the cost of production, which is itself a power law. This is most likely responsible for the core power law behavior at the floor, which makes logical sense given that hash rate growth also follows a power law. The thing we all have in common is that we are very passionate about finding the best way to model Bitcoin, and everyone is on the leading edge of the Bitcoin modeling space. This is the group of people you want to be following if you are interested in Bitcoin modeling. This is where the breakthroughs will come from.
PS. The chart above I created using Bitcoin's actual full hourly dataset. It's not theoretical.
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