The bad thing about calling the Time Police is that, if you have gotten to the point of calling them, you probably have a rather complicated and intractable problem. The good thing is that they always pick up immediately and have always just been researching whatever you're going to ask about.
"Uh, time police? Hello? I am stuck in a time loop and need help from someone who knows what they are doing. Please please answer now and not in a three Standard Galactic Time Units or something, I will not have access to this device in the next iteration and maybe never. Don't know what details you need about the situation, so...
So, me and... my associates were planning to summon... an entity... that would be perfectly explainable in the standard worldview. Instead, I entered the loop two seconds before summoning is complete, and each loop we get someone different. Witches. Inquisitors. Dames Of Battle. Necromancers. Undead mechanical dolls. Always humanoids, always from another world - the same, insane violent world. We didn't know other worlds existed! They are usually crazy and dangerous. Usually I die in various inventive ways. If things go on after my death a lot of other people die after, maybe the whole planet. If I don't die, I still get pulled back to the ritual a day or two after. This time I got a "light witch", she is a very nice lady, she got me this... time-space thing I am using to call you... And I will not be this lucky next time.
Is it possible to fix this?"
"I'm going to try to lock onto your subjective timestream in case we lose contact. While I do that: did you notice anything strange when you first entered the loop, and do you notice anything strange when it resets without you dying? Have you tried disrupting the summoning ritual and does that have any effects on the loop? Is the other world looping as well, or is time proceeding linearly there?"
"Didn't notice entering, nothing pinpointed that moment until the first reset. When I reset, it feels like waking up - things become less real, I see many nonsensical ways for things to continue, apparently generated by my brain and not reality, and then I'm back. I don't think I'm asleep now - I've counted my fingers, I've felt the roof of my mouth with my tongue, I've done and checked complex math.
I have two seconds to disrupt the ritual and as it's almost complete I can only disrupt it a little. I tried a couple of times and then the thing that comes out is even less human. The undead mechanical doll that can enter minds was one of those times." - nervous giggle. - "I don't think a ritual could do it by itself, the guy who performs it has done it hundreds of times before, just on a smaller scale, and had no time problems.
The other world is not looping to my knowledge. Those... people... come from different times, across millennia, and almost never know each other. They always hold small empty metal boxes, created by a crazy wizard on their side. They think it's some great treasure that nobody has been able to find before them, but apparently there are a bunch of those boxes and they just send people who touch them here. They are hidden behind dangerous traps, it's always powerful dark mages or worse who find them."
"Hey, that's good news for you, if there's a summoning on one end and a banishing on the other I should be able to find you eventually just from the many-to-one connection pattern.* Do you think anyone else is in the loop with you? You can generally tell even without meeting them, because iterations go differently even when you make all the same choices, but you've got butterflies from the summons in there too, so maybe you don't know."
*The Time Police investigates all such half-looped planar connections that come to their attention. There aren't very many of them--well, there are an infinite number, but they're a very small fraction of either planar connections or time loops--and they're often the result of time crimes.
"Oh, the butterflies messed me up so hard! There is a group of local wannabe heroes, they were too late to stop us, but they usually show up later and behave differently every time. But they don't remember previous times. It took me almost twenty loops to realize they have a way to remotely observe the ritual and change tactics accordingly.
This loop has been going for three hours, and the shortest one where I lived was twenty-five. We probably have time, but I would love to start doing whatever needs to be done to make that one the last."
"Alright. The standard procedure for half-looped planar connections, when we don't have a team on the scene to finesse things, is to add contact points until the entanglement between the timelines is too strong for the looped end to get reverted. So, summon more people, send people the other way if you can manage it, pass information between the universes, that sort of thing. If you can have a traversible portal open at the moment the loop would otherwise reset that'll do it for sure, though I wouldn't have anything expensive within a few hundred meters of the portal at the time. Or if you don't want to deal with all that, you can hang tight for another forty-odd loops and we'll find you and send some folks out with the right gear to do it the smooth way."
"Uhh. Uhh-uh.
First of all, we are in the middle of a city. A lot of expensive things around, if you value human lives..." - Yan was starting to get fired up, but then he was interrupted by a distant female voice.
Several minutes of hushed arguing.
"Ok, we can summon a lot of people, and we can do it away from the city. I was sure it would be a disaster, but Esther says she can take them," - Yan sounds more than a little surprised.
"I don't believe it would break the connection outright because we have no way to send information or matter back, but if we summon everyone who has ever touched those Curator-forsaken boxes, I don't see how the loops can continue. Summoning is very cheap now, but I would have never thought to do that because without Esther I would die for sure. Thanks. I guess if it doesn't work and I survive I will call again!
Have a good... whatever time is on your end."
“.yug eht ees t'nod I dna dnuora dna rood rehtona tuo tnew I ?kcab enohp siht evig I woh htiw em pleh uoy nac ,hu ,tiaw — noitcerid thgir eht ni gniklaw era elpoep ,yakO”
(flip)
“Okay, people are walking in the right direction — wait, uh, can you help me with how I give this phone back? I went out another door and around and I don't see the guy.”
".ereht ni seog esle enoyna erofeb lamron ot kcab s'yawllah ruoy ti ot ees ll'I dna ,won tuo detros lla eb dluohs uoY !tekcit eht s'tahT" (Sound of more button-pushing.)
(flip)
(Sound of more button-pushing.) "That's the ticket! You should be all sorted out now, and I'll see to it your hallway's back to normal before anyone else goes in there."
."yaw eht no flesruoy gniteem rebmemer t'nod uoy fi ,yllautca ,noitpo eht evah uoy fi rood tnereffid a hguorht tuo dna ni og ot tseB .ni erew uoy moor yreve tisiv ot yrt tub ,yltcaxe spets ruoy ecarter ot deen oN"
(flip)
"No need to retrace your steps exactly, but try to visit every room you were in. Best to go in and out through a different door if you have the option, actually, if you don't remember meeting yourself on the way".
“.meht wonk t'nod I .driew yllaer saw tahT ?enohp siht em dednah enoemos tuB ?sdrawkcab gniklat dna sdrawkcab gniklaw si em dnuora enoyreve dna teerts a no m'I — m'I .em ot ylbisneherpmoc gnikaeps era uoy ,hU .esnes sekam taht sseug I ,yako — yakO”
(flip)
“Okay — okay, I guess that makes sense. Uh, you are speaking comprehensibly to me. I'm — I'm on a street and everyone around me is walking backwards and talking backwards? But someone handed me this phone? That was really weird. I don't know them.”
Her phone may have been touched by the same the same power that transported her, remade into a new image, but it still works as a phone. For some reason. She's not going to think about it too hard.
"Hello?"
"One of the, uh, thousand hands of Arceus himself picked me up and threw me backwards in time? Is that a legal thing to have happen to you? Am I going to mess up history just by existing?"