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This could go hand-in-hand with the thicker case. A slightly thicker case, combined with some better battery technology, could yield a longer run-time.
The Magic 8 Ball: The Magic 8 Ball reads, "Outlook good". One area where Apple constantly works on improving is battery life.
Image: After several hours of use, Apple wants the battery life indicator to stay "green" rather than its usual "red" color.
If the iPad is to properly support Siri and some of the advanced camera functions, it needs more processing power. I'd also like to see it have more RAM, but I have even greater doubts about that. Of course, the more processing power there is, the bigger the impact on battery power. Physics is like that.
Image: This photo shows an alleged iPad 3 mainboard with an A5 processor. Image credit: WeiPhone.com
The Magic 8 Ball: The Magic 8 Ball reads, "It is decidedly so". Probably dual-core. Probably not quad-core.
If you read the Web with care, you'll notice that a few of the punditocracy are claiming the new iPad will have Siri. This depends on two key factors: the processor power in the device and how robust Apple's network is. I'm reasonably sure the processor in the new device will be able to handle the load, but their network might not.
The Magic 8 Ball: The Magic 8 Ball reads, "Signs point to yes".