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About 15 days ago my website had got rid of the google sandbox, my unique visitor increased 400% up, this level of traffic was keeping for about 7 days, Last Saturday the traffic was sharply decreased 500% down! I don't know what's happened with my website, I didn't make any changes to my website.
Because the website serves to all countries and, the important is my website seems to be punished by the G, I decide to run a new domain name, I'm goning to set up a 301 redirecation from old domain name to my new domain name, I know PR can be transfered to new domain under a 301 redirection. The question is I'm afraid the punishment is also transfered to new domain name. The old domain name is indexed about 360,000 pages by google.
Any idea is greatly appreciated.
If that is what you see, then I'd say don't do anything and don't assume that your site is penalized. This kind of shifting happens as a site begins to establish itself. It can even happen to long established sites.
It would be a big move to start over on a new domain, and the situation does not sound very bad. Also, to answer your direct question, penalties do not necessarily transfer through a 301, but they might. If you moved the exact pages over to a new domain, you would be creating all the same on-page factors and then the 301 would bring in similar off-page factors - there's no gain to be had, there.
Does Google show any pages from your site when you search for site:example.com?
You understand very correct, Last Saturday I ran a site command that google showed 314,000 pages, yesterday it showed 357,000 pages, but today is 341,000 pages. tomorrow is unknown :)
But if I were you, I'd follow Tedster's advice and wait. It sounds like since your site is new it is having some problems, but will be worked out eventually without you having to do anything.
It does seems to raise a red flag having that many pages created in such a short time. If I were you, I would make sure you're developing some deep linking to the site asap.