New Twiddle

components.my-component.js

import Ember from 'ember';
import { inject as service } from '@ember/service';

export default Ember.Component.extend({
  router: service('router'),
  queryParams: null,
  
  actions: {
    foo() {
      this.get('router').transitionTo(this.routeName, {
        queryParams: {myValue: this.myValue}
      });
    }
  }
});

router.js

import EmberRouter from '@ember/routing/router';
import config from './config/environment';

const Router = EmberRouter.extend({
  location: 'none',
  rootURL: config.rootURL
});

Router.map(function() {
  this.route('something');
});

export default Router;

routes.something.js

import Ember from 'ember';

export default Ember.Route.extend({
  queryParams: {
    myValue: {
      refreshModel: false
    }
  },
});

templates.application.hbs

<ul>
  <li>
  	<MyComponent @routeName="something" @myValue="bar">Something ?myValue=bar</MyComponent>
  </li>
  
  <li>
  	<MyComponent @routeName="something" @myValue="action">Something ?myValue=action</MyComponent>
  </li>
  
  <li>
  	<MyComponent @routeName="something" @myValue="rfc">Something ?myValue=rfc</MyComponent>
  </li>
</ul>

<fieldset>
	{{outlet}}
</fieldset>

templates.components.my-component.hbs

<button onclick={{action "foo"}}>{{yield}}</button>

templates.something.hbs

<p>Query Param is: "{{myValue}}"</p>

twiddle.json

{
  "version": "0.15.1",
  "EmberENV": {
    "FEATURES": {}
  },
  "options": {
    "use_pods": false,
    "enable-testing": false
  },
  "dependencies": {
    "jquery": "https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.js",
    "ember": "3.4.3",
    "ember-template-compiler": "3.4.3",
    "ember-testing": "3.4.3"
  },
  "addons": {
    "ember-data": "3.4.2"
  }
}