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What is "Tearing" in the context of the React-Redux?

Version 6.0 of React-Redux mentions:
In version 6, all components read the same current store state value from context, which means the tree will be consistent and not have "tearing".
I get that this is beneficial, but I'd like to understand the meaning of "tearing" in this context better, and I'd like to understand how the new approach they outline actually reduces "tearing," if anyone can elaborate.

I'm a Redux maintainer, and I wrote that paragraph.
This is specifically a concern that has been raised by Andrew Clark from the React team as a potential issue with external state management tools when used with React's upcoming "Concurrent Mode".
In Concurrent Mode, React will be able to pause a render pass through the tree, and resume calculating the rest of the tree later.
If the components in the tree are reading an external value, and that value were to change while React's rendering is paused, then some of the upper components in the tree might have rendered using external value 1, and some of the later components might have rendered using external value 2. That would result in inconsistent render output, because different parts of the tree determined their behavior based on differing values in the same render pass. This is "tearing".
Part of the idea behind using createContext for v6 was that since React ensures a given render pass uses the same context value everywhere, there would be no chance of tearing.
The v6 implementation does work, but it's not as efficient in some cases as we'd hoped. We're currently working on coming up with a different internal implementation that goes back to using direct subscriptions instead. This does potentially mean that tearing is a possibility again, but at this point we need to sit back and wait for the React team to finish putting Concurrent Mode together before we can spend time seeing what the issues really are.

React architectural problem - Best way of having a single global application state, updating child components when changed

I'm quite new to React, and I'm making a single page application with React.
So far, I've build the application with components and child components, having their own local state, however the child components doesn't really interact with one another, which is what I want them to, basically, with the least amount of boiler plate code...
The problem I'm facing, is that a change in some child component, should be able to update the state of another child component, somewhere else in the component tree.
A selection in one child component should also be able to trigger a function in another component updating it with data and so on.
I've considered having just one global application state, that all components can call and update when something in them changes, and this one application state will then update other components in the tree. Kinda like having a single "controller" with it's own state, that all components "views" can call, and which updates the states of other components as needed. (I'm used to WPF and MVC style of GUI programming).
What I've considered:
One could try to implement this with callback functions defined in the top of the hierarchy, to be sent down through the hierarchy and called from a child component when it changes.
This method however results in a LOT of boilerplate code that just passes functions to their child components. It feels wrong and hard to maintain...
To avoid all this passing around and boilerplate code, I've tried using a React Context, however this is not working as well as I hoped. I can only access the context from within the render function and from lifecycle functions, and sadly I often get complicated errors that are hard to understand. It seems like I'm exploiting React Context to do something you shouldn't use it for...
I've considered using a singleton pattern in JavaScript, however then that singleton needs to have a reference to the root component, and query for the component it needs to change... This seems like kind of a hack, and may not be that pretty, but idk.
I'm considering trying out React Redux however it seems to work in many ways similar to React Context (I'll be honest, I haven't read much into it yet).
What I need:
I need to ask someone with greater React experience than me: How do you keep a global application state, and update child components based on changes to the global application state? Also: Am I thinking about this all wrong? Am I trying to do something in a non-react way, failing to see how I should do it in React?

You can happily go with Redux or MobX, they're fine.
I suggest Taming The State from Robin Wieruch: https://roadtoreact.com/course-details?courseId=TAMING_THE_STATE
There are the book and the course. He shows different ways of handling React state.

Redux was created specifically for the problem yo stated.
Reacts follows a top-down down-top unidirectional flow in essence. Context API is useful in simple use cases but would fail horribly in a large scale application where you'd be creating consumers everywhere.
I'd suggest investing some time in Redux so that will save your precious time in long run.
There's a reason all big three frameworks require a state management library to be useful for large scale complex apps. (Angular has NgRx and Vue has Vuex).

React Native - What is the difference between setState & setNativeProps?

I want to prevent re-rendering of the whole tree, so, I thought to use the setNativeProps to update the specific component when needed, but setNativeProps is not working for all components. I am using both setState and setNativeProps in my react native application. The setState works just fine for all components but setNativeProps do not works for all components.
What is the difference between setState & setNativeProps? For what kind of components setNativeProps should and shouldn't be used? A little example will be more appreciated. Thanks !!!

The React-Native Documentation explains this very well :
It is sometimes necessary to make changes directly to a component without using state/props to trigger a re-render of the entire subtree. When using React in the browser for example, you sometimes need to directly modify a DOM node, and the same is true for views in mobile apps. setNativeProps is the React Native equivalent to setting properties directly on a DOM node.
check this link for reference
Use setNativeProps when frequent re-rendering creates a performance bottleneck
so basically the only use case i can see for it, is when you are creating continuous animations and you don't want to affect the performance of your app.
in almost all other cases, setState will be more than enough.
And in case you need to control when your component should re-render check out
shouldComponentUpdate

ReactJS - Global state outside of components

I've been reading and watching videos on Redux and seeing a lot of debate about managing state in components or with Redux. What I'm not seeing is anything about managing state completely outside of components with standard global variables.
For example, I could set a global state variable like this:
let state = {
player: {
username: "BillyBob",
score: 100
}
}
Then in a React component, I could have something like this:
incrementScore() {
state.player.score += 1
props.update()
}
Then in App.js, I could have this:
update() {
this.forceUpdate()
}
I realize that I'd still have to pass the update function down through the tree, but I'd at least be able to set functions at the component level and not have to worry about passing multiple pieces of state and functions to child components.
I'm new to React, but the only downside I can think of is not being able to require propTypes. Is there anything else I'm missing?
EDIT: Per request that I clarify the question, are there any major downsides to the implementation above that I should be considering that would affect even a relatively simple app?

If you look at the implementation of redux or some other state management library out there (for example mobx or mobx-state-tree), basically all of them maintain the state outside of the component as a standalone object.
However, to detect changes and trigger re-render efficiently, they implement a HOC, it's connect in redux and inject in mobx, what the HOC (higher order component) does is to wrap your component inside another component that have access to the global state, and pass the part of the state require by your component via its props. This way, the component only re-render when the data required by it changes.
Compared with these popular library approach, there are couple problems with your proposed solution.
The first is using forceUpdate, basically, the last thing you might want to do is to call forceUpdate on the root node of your app, think about scenario when someone type in an input and the whole app re-render every single keystroke.
The second will be passing an update function down to multiple level of children, it will be fine if you have only 1 or 2 nested component, but will be a big problem one your app grows. As your app grows and your state become more complex, it might not be the best idea to have a single update function to control the whole state object.

React exists to solve the problem of creating a user interface that is composed of several indepentent pieces that can be developed in parallel and can seamlessly interact with each other.
If you are going to use global namespace to define your state then you are going to bypass most of the key features of React such as:
1. Lifecycle methods
2. Virtual DOM
3. Controlled Components
4. Rendering Optimizations
In a nutshell, you are going to end up with all the overhead costs of running React while missing out on its benefits.
The 'catch' in learning a new framework or paradigm is to understand how to define the problem in such a way that it leads to path of least resistance. This can be achieved by introducing a constraint and then solving the problem within that constraint.
By favoring vanilla JavaScript for state management, you are not giving React and Redux a fair chance.

I've created a library exactly for this use case :)
Simple 💪 fast ⚡️ and small 🎈 (500 bytes) global state management for React which can be used outside of a React component too!
https://github.com/web-ridge/react-ridge-state

Stick to redux, dont complicate things for yourself :)

ReactJs: How to pass the initial state while rendering a component?

I know I can pass props while rendering a component. I'm also aware of the getInitialState method. But the problem is, getInitialState isn't quite helping because my component doesn't know it's initial state. I do. So I want to pass it while I'm rendering it.
Something like this (pseudo-code):
React.render(<Component initialState={...} />);
I know I could use a prop to work as the initial state but this smells like an anti-pattern.
What should I do?
EDIT FOR CLARITY
Imagine I have a CommentList component. By the time I first render it, the initial state corresponds to the snapshot of current comments from my database. As the user includes comments, this list will change, and that's why it should be a state and not props. Now, in order to render the initial snapshot of comments I should pass it to the CommentsList component, because it has no way to know it. My confusion is that the only way I see to pass this information is through a props which seems to be an anti-pattern.

Disclaimer: Newer versions of React handle this on a different way.
Only permanent components might be able to use props in the getInitialState. Props in getInitialState is an anti-pattern if synchronization is your goal. getInitialState is only called when the component is first created so it may raise some bugs because the source of truth is not unique. Check this answer.
Quoting documentation:
Using props, passed down from parent, to generate state in
getInitialState often leads to duplication of "source of truth", i.e.
where the real data is. Whenever possible, compute values on-the-fly
to ensure that they don't get out of sync later on and cause
maintenance trouble
You can still do:
getInitialState: function() {
return {foo: this.props.foo}
}
As they will be the default props for your app. But as long as you are using a prop to set a value that presumably won't change, you can use the same prop inside of the render function.
<span>{this.props.foo}</span>
This props won't be modified, so no problem using it each time the render is called.
Edited answer:
In this case your initial state should not be a prop, should be an ajax call which populates the comment list.

To quote the React docs:
Using props, passed down from parent, to generate state in getInitialState often leads to duplication of "source of truth", i.e. where the real data is. Whenever possible, compute values on-the-fly to ensure that they don't get out of sync later on and cause maintenance trouble
And:
However, it's not an anti-pattern if you make it clear that synchronization's not the goal here
So if your props include a value and an initialValue, then it's clear that the latter is for initialization, and there's no confusion.
See the React docs for code examples.

If you know the state then I would tend to argue that the component you are rendering is not really in control of it. The idea in React is that any particular piece of state lives in only a single location.

After seeing the other answers, and studying a little bit about it, I've come to this conclusion:
If you are rendering React in the client (compiled or not), which is the default approach, you should try to make an extra Ajax call from inside your component to get the initial state. That is, don't use props. It's cleaner and less error prone.
However, if you are rendering in the server (Node.js or ReactJs.NET), there's no reason to make this extra Ajax call for each request.. Besides, it's not SEO friendly. You want the complete page to come as the result of your request (including data). So, as #RandyMorris pointed out, in this case it's ok to use props as the initial state, as long as it's exclusively the initial state. That is, no synchronization.