Update:  Unfortunately, according to Sony's official PlayStation Europe Twitter account, it seems that the rumor is not true, and the folks at Basildon's GAME apologized for the miscommunication, as follows.

Hopefully there won't be serious consequences, but most probably someone is in trouble for this, somewhere in Basildon, right now.

The original article is below, for the posterity:

According to the Twitter account of the Basildon GAME Store, during a PlayStation Meeting in the UK Sony announced that All PS3 digital content will Carry Over to PS4.

When questioned on the reliability of the information, the Twitter account specified that they only relayed what they were told by Sony.

They further clarified by mentioning specifically that all downloaded games will be available on the PS4.

Even more surprising, it seems that the deal shouldn't be just related to PSN Only games, but even much bigger games like Grand Theft Auto V, when purchased digitally.

 

The Last of Us was mentioned as well, as part of a rather mind boggling scenario that sees the game played on PS Vita via remote play from PS4, after purchasing it on PS3.

On the other hand, we don't know if non-gaming content will get the same treatment.

Of course this has to be considered as a rumor to take with the proverbial enormous grain of salt until an official announcement is made, but it would definitely be groundbreaking news if proven true. Personally, it's hard to believe that a GAME employee would risk his job to play a prank, and you can be sure that heads would roll if this was proved to be misinformation.

So either this has at least some truth in it, or some presenter at Sony UK made a really big mistake, or there has been a really massive misunderstanding. We'll have to wait for an official announcement from Sony Computer Entertainment to be sure.