Paparazzi Photo

Jay-Z and Beyonce celebrated their wedding anniversary with an opportunely timed trip to Cuba that raises some questions, like ... is this strictly for pleasure, or maybe a little business too?

B and 'Hova were photographed strolling all over Havana on Thursday ... their 5th anniversary.

Technically, US citizens are not supposed to travel to the communist nation from the states if it's purely for tourism ... though there are ways to skirt the travel ban.

For instance, travelers can obtain a "cultural exchange" license from the US government.

It's not clear if baseball qualifies as "cultural exchange" -- or if Jay and Beyonce obtained a travel license.

Paris Jackson has secretly reestablished ties with her birth mother, Debbie Rowe ... TMZ has learned.

Multiple sources connected to both Debbie and Paris tell TMZ ... Michael Jackson's 15-year-old daughter spent a good part of her birthday Wednesday with Debbie, who was married to MJ and gave birth to Paris and Prince. We're told, "The two just hung out. They've gotten really tight."

As TMZ previously reported, Debbie signed her full parental rights away to Michael in 2001 ... when Paris was 3.

After Michael and Debbie divorced she had virtually no contact with Paris.

Our sources say ... Paris and Debbie have gotten together a number of times recently. They've really established a relationship.

And, we're told, Debbie has gone out of her way to keep the meetings on the down-low because she doesn't want to create an appearance that she's exploiting their relationship. One source says Debbie could have made a lot of money off the meetings, but wouldn't even consider it.

Heidi Klum is either fearless or oblivious ... because for the second day in a row, she took her kids on a water ride ... less than a week after they survived a near-drowning incident.

Klum and boyfriendguard Martin Kristen rode Splash Mountain at Disneyland yesterday with Klum's son Henry. The day before, the fam hit up a different water ride at Disney's California Adventure.

It might be a normal, fun vacay ... except for the fact, Heidi just rescued Henry and two nannies last weekend when they got caught in a dangerous riptide in Hawaii.

Perhaps, some QT on dry land is in order.

Donny Osmond is a little bit ... burnt.

The 55-year-old entertainer took time out from performing with his sister Marie Osmond in Las Vegas ... and unsuccessfully attempted to tan his lily white Mormon skin in Hawaii on Thursday.

After charring his torso to a crisp on the beach ... the Osmond brother continued to enjoy his moment in the sun by wisely covering up with an undershirt.

Prince Michael Jackson was out on a date with a girl who appears to be a princess ... TMZ has learned.

We got these pics of Prince and Remi Alfalah, who we're told is a Kuwaiti princess. They were bowling Wednesday at PINZ in the San Fernando Valley.

A source at the Kuwaiti consulate tells us ... Remi is indeed a princess who is a junior in high school. Michael Jackson's 16-year-old son Prince is also a junior. They attend the same private school.

Remi was dropped off at the bowling alley in a black SUV ... but he drove her home.

Here are some photos of Jessica Alba and her husband Cash Warren in St. Barts.

And now some reactions from around the office ...

Mike: I can't stop staring.

Gary: I hate my life.

Charles: I'm kinda over her now.

Evan: Charles is insane.

Believe it or not, not every girl wants to be kissed by a prince.

Prince William got the ultimate rejection when an adorable little girl recoiled in horror after he tried to plant a wet one on her cheek in Scotland on Thursday ... clearly, she was not convinced he'd had his cooties shot.

Heidi Klum ain't afraid of no stupid water ... 'cause just three days after saving her son and two nannies from a dangerous rip tide in Hawaii, Klum got back into rough waters ... at Disney's California Adventure.

It's a pretty brave move considering the frightening scene in Oahu earlier this week ... when Heidi sprinted into the ocean to pull her son Henry and their two nannies out of the surf, while wearing nothing more than a skimpy bikini.

In fact, the water was so rough that day, her boyfriend Martin Kristen could be seen struggling to catch his breath on the shore after the terrifying incident.

But there was no water rescue necessary in California on Wednesday ... when a fearless Heidi was seen laughing her way through Grizzly River Run with Martin and her kids.

Oscar Pistorius returned to doing what he loves recently -- running on a track on a beautiful day with the sun beating down on his face ... while the girlfriend he shot to death is still dead.

Despite the fact he admitted to shooting Reeva Steenkamp back in February, the judge granted the former Olympian bail ... allowing him to roam around South Africa like a regular non-killer person.

Oscar was pictured jogging on a track at a university in S.A. on March 24.

Pistorius -- who's been charged with murder -- says he doesn't intend to compete in any races ... but reps for the runner say family and friends have encouraged him to continue training because they believe it will help him cope with the trauma.

Disney princess turned wannabe hipster badass, Miley Cyrus took time out from twerking to flash her engagement ring while taking her Urban Outfitters approved beanie and black American Apparel-ish negligee for a bra-free stroll in Hollywood on Wednesday.

After recently getting back together, Hayden Panettiere and her giant boyfriend Wladimir Klitschko continued on their face sucking PDA tour by soaking up the sun -- and each other -- on the beach in Hollywood, Florida on Tuesday.

With rumors speculating they are already engaged, a ringless Hayden showed off her lady curves in a sexy purple fringe bikini, while Wlad bronzed his jacked up boxer's physique by going shirtless.

Lindsay Lohan threw on her bikini and hit the beach in Brazil yesterday ... revealing a series of gnarly bruises down her left leg.

It's unclear how Lohan got her new marks ... it's possible she just banged herself up while ducking under tables at a nightclub last week.

Then again, it's not impossible to think she got into another late-night altercation -- just ask that psychic she allegedly socked in the face a few months ago.

Male supermodel Tyson Beckford may have broken the law ... by brandishing his smooth, ripped and inked up fully loaded guns on the beach in Barbados on Monday.

It may have been April Fools' Day, but the jacked up 42-year-old hunk is no joke.

After a long, grueling match, tennis star Andy Murray celebrated winning the Sony Open by soaking his ripped abs -- and farmer's tan -- in the warm waters off Key Biscayne in Miami on Sunday.

It's official ... Lindsay Lohan can no longer contain herself after partying her face off in Brazil.

The 26-year-old actress ditched her trusty bra Saturday for a helicopter ride in Florianopolis ... after partying all night in Sao Paulo. She's been on the Brazil nightclub train ever since she flew south of the equator to promote some jean company last week, and she's obviously having support issues.

All decked out in their best Sunday outfits and brand new Easter weaves, 21-year-old Jamie Lynn Spears and her big pop icon sister Britney Jean Spears spent the holiday together down home in Kentwood this weekend.

So we gotta ask ...