![]() ![]() The next step depends on whether you’ve used Sparkle before. Click Add Package again to attach it to your project. Xcode will download the package and then show another dialog with the Sparkle library checked. Enter this URL into the search field and when the package appears, click Add Package. Click on the project itself in the next sidebar and then choose Package Dependencies from the tabs across the top.Ĭlick the + at the bottom of the list to add a new package. Open your app in Xcode and select the project at the top of the project navigator. This guide deals with those requirements only. ![]() Install framework using Swift Package Manager.For this app, I have the following requirements: The Sparkle documentation is excellent and contains everything you need to know, but they allow for a wide range of use cases and configurations, which makes it difficult to follow at times. But setting it up isn’t totally straight-forward, at least I didn’t find it so, which I why I’m using this post to document the process. It’s very popular and I’m sure you will have seen it used, even if you didn’t recognise it. Sparkle is an open-source update framework for macOS. If you’re distributing your apps externally, you need an alternative method. When (or if) an update passes the app review process, Apple does the rest, propagating updates through the App Store app. One of the great conveniences of App Store distribution is the update handling. So here, as promised, is the article about implementing Sparkle. At the time, I mentioned that I had set it up to install updates using Sparkle but there was too much detail to include in the initial post. This is, of course, only if the extreme gravity doesn’t destroy the observer first.Last month, I posted about writing my new todo app called To-Day: why I wrote it and how I wrote it. For example, there is a point in the axis of symmetry that has the property that if an observer is below this point, the pull from the singularity will force the observer to pass through the middle of the ring singularity to the region with closed time-like curves and it will experience repulsive gravity that will push it back to the original region, but then it will experience the pull from the singularity again and will repeat this process forever. There are some other interesting free-fall trajectories. This interior solution is not likely to be physical and is considered a purely mathematical artefact. Since the trajectory of observers and particles in general relativity are described by time-like curves, it is possible for observers in this region to return to their past. ![]() The region beyond permits closed time-like curves. The spacetime allows a geodesic curve (describing the movement of observers and photons in spacetime) to pass through the center of this ring singularity. This kind of singularity has the following peculiar property. Since a point cannot support rotation or angular momentum in classical physics (general relativity being a classical theory), the minimal shape of the singularity that can support these properties is instead a ring with zero thickness but non-zero radius, and this is referred to as a ringularity or Kerr singularity. With a fluid rotating body, its distribution of mass is not spherical (it shows an equatorial bulge), and it has angular momentum. This is not the case with a rotating black hole (a Kerr black hole). When a spherical non-rotating body of a critical radius collapses under its own gravitation under general relativity, theory suggests it will collapse to a single point.
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