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There will be an upcoming interview with Hiroyuki Imaishi and Kazuki Nakashima regarding Promare and it's 5th anniversary. If it will have any juicy lore reveals remains to be seen...
 
According to the booklet that came with the special edition of Promare, the Parnassus is 5km long (the same length as Arc Gurren; previously I calced the Parnassus to be much bigger, but I feel 5km is a much more reasonable number). Nakashima notes that the entire ship was originally going to transform into a robot, but as that was too big for the story (or at least the story at that point, given Galo de Lion is far bigger), they settled with only the bridge transforming. What's more, Nakashima put forth that the warp gate would look like a cigarette burn (perhaps as the Promare flames burn a hole into the fabric of reality).
(Relevant text)
 
Reupload of a scan from the Tagro manga, which confirms the Tagro manga takes place in a different dimension (the manga features journeys to outer space in two chapters, one being across the galaxy and another to the Moon). This means that PSG is a multiverse in and of itself (abet one of unknown size).
 
Delicious in Dungeon has a crossover with Arknights! As per most crossovers beyond Trigger, I've a feeling this almost certainly isn't canon (unless of course, those versions are used).
 
New PSG characters! Polyester and Polyurethane are two bishounen angel brothers, sent from Heaven.
A new angel, a new angel It was announced on stage today!Look forward to the adventures of the new characters, the polyester and polyurethane angel brothers, who appear in "New PANTY & STOCKING with GARTERBELT"!
The VAs for Polyester and Polyurethane previously worked on Space Patrol Luluco, Star Wars Visions: The Twins and Darling in the Franx.
The role of Polyester will be played by Enoki-kun, who worked on "Space Patrol Luluco" and "STAR WARS VISIONS: THE TWINS", and the role of Polyurethane will be played by Uemura-san, who worked on "Darling in the Franxx"
Mariya Ise (the VA for Stocking) says that Panty and Stocking will return in July (in time for my birthday!), more powerful than before.
Thank you for the New Panty&Stocking with Garterbelt special stage
The broadcast is scheduled for July 2025!!
Please look forward to the sisters returning even more powerful than before!!
 
Kazuki Nakashima says that the idea for the Promare fire lifeforms came from the short story Story Of Your Life (which the movie Arrival is based off), and how communicating with different cultures can be a nuisance, even if done with friendly intentions; thus did the idea of the fire lifeforms communicating via burning was born (although I must say, that does seem like more than a mere nuiscanse).
 
So...going over some more old scans to reupload, as a thought has struck me.

According to the booklet which came with the SSSS.Gridman DVD & blu-ray, Alexis Kerib and Rikka's mother coming from outside the Computer World, and had both read the scripts for SSSS.Gridman beforehand.
As stated repeatedly by Akira Amemiya and Tetsu Inada, Alexis Kerib is Chief Overjustice, who is said to have wandered the universe/multiverse for thousands of years (this example being from Gridman Universe Super Complete Works).
(Relevant text)
In Gridman Universe, it's noted that a work of fiction can infact a real universe (and that people believing in stories and feeling emotions over them makes them real). This is relevant to the main story as the Dynazenon universe (and all the Gridman spinoff universes) were created by Gridman in his mind.
So, not only does Gridman have some pretty blatant reality over fiction transcendence (possibly even multiple levels of said transcendence going by the above passage), but given how Chief Overjustice and Midori are not only in Gridman (as Alexis Kerib and Rikka's mother respectively), but they read the script first. This would seems to imply that to Midori and Overjustice, the world of Gridman is in and of itself a work of fiction (which already has at least one level of R > F transcendance, though likely more as the Second said that Yomogi watching a fictional TV show could connect with it and make it real), and thus Space Patrol Luluco would be currently the strongest Trigger series with the most levels into R > F. It's not 100% confirmation, but IMO it is some pretty solid evidence).
 
Star Wars Celebration in Japan later this month will feature Karre's X-Wing as exclusive merchandise (if Karre will return in Trigger's new installment for volume 3 of Visions, only time will tell).

Star Wars: Visions Micro Galaxy Squadron by Jazwares

Tiny but mighty, this first-to-market X-wing is accompanied by its dedicated crew of Karre and R-duo, from the Star Wars: Visions Volume I short “The Twins.”
 
Polyester is the older of the two angel brothers, while Polyurethane is the younger.
CV:榎木淳弥
天界からダテンシティに新たに遣わされた天使兄弟の兄。

CV:JUNYA ENOKI
The older angel brother.
CV:上村祐翔
天界からダテンシティに新たに遣わされた天使兄弟の弟。

CV:YUTO UEMURA
The younger angel brother.
 
Reupload of a very important scan from SSSS.Dynazenon Super Complete Works (and a fan translation by someone else, but which checks out); the kaiju seeds come from 20,000 years in the future, but somehow ended up in the past. These same seeds are used by Akane to grow her kaiju, as well as Goldburn growing from one after feeding from and latching to Chises emotions. Kaiju are connected to human emotions and grow from them (this is why they take humanoid forms, at least at first), whether they realise this is the case (such as Akane) or not (such as most of the kaiju in Dynazenon, who feed off the emotions of the people of the city, or even the planet.
(Original Japanese version)