Sufficiently Advanced Magic (Arcane Ascension)

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This is basically how the Asura from Guild Wars 2 operate; they look at magic as just another field of science, and apply it accordingly. They have concepts such as Golemancy (robots/ Mini-Mecha that basically use magic for the battery/OS), the Greater Magical Field Theory (conservation of mass/energy as applied to magic), and so forth. The main branch of magic in Earthsea works through invocation of " true names," and its mastery requires long years of intensive study and memorization.

Mostly performed by the Inertia Society in Visiontale, whose members study magic with scientific rigor. Inspired by human Techno Babble, monsters even created Magi Babble to describe magic, and use magic to create magitronic devices, like their versions of smartphones, televisions, and computers. Corin also managed to mix his corkscrew subessence with the mana from Selys-Lyann to form glittering ice to protect himself. Corin calls this his Shivering Shroud technique. In AA3 he gained the ability to boost his attunement level; however he doesn't want to do this to often or for to long due to potential side effects. In AA4 Corin constructs the attunement levels Spessartine and Peridot. Corin can manually activate the levels through voice command. The Spessartine level gives Corin access to light mana. Negima! Magister Negi Magi treats magic in this manner as well. Spells, more often than not, work with the laws of physics rather than against them (those spells that do break physics are said to be the most advanced and difficult). Negi himself is described as conducting numerous tests and experiments when developing new spells and ways of stopping Magical Worlds from collapsing, and he even references scholarly articles in magical research at one point, in much the same way a modern-day physicist would reference another scientist's work.Air mana (mana amount not disclosed likely 180 and maybe 360 based on how the gray mana batteries were built) In Perihelion, the supernatural is a science to the Perihelion Imperium, meaning even the gods, despite being far beyond mortals, are empirically-explainable...unless you're talking about the Unborn God. Corin can create threads of mana that he can use to connect to items. Corin can sense and manipulate auras from items the threads connect to. Corin can recharge items through mana threads. Mana threads can serve as conduits for Corin's magic. He has used them to detect movement over them, cast Identify through, pull and manipulate items like a pillow or Mr Stabbington.

Lev Grossman's The Magicians and subsequent sequel play into this a lot. Magic is only doable by the most intelligent and obsessed people, as it requires memorizing enormous charts of data (moon position, weather), dozens of languages (ancient and current), and the most elaborate hand gestures. Analysis is the main method of learning magic; only rare examples do magic spontaneously. Both the Foundation and its rival, the Global Occult Coalition, employ magic users whom they refer to as "Type Blues". The GOC, who are much more strict about the Masquerade, refer to magic as "Applied Thaumatology" and assert that it's nothing more than a new form of physics. Deucalion Chronicles is practically built on this trope; almost all technology present in the CU is magic-based. In Smoke and Shadows, Arra comes from an Alternate Universe where humans have developed magic to a greater extent than technology, but still combine it with the physical sciences and employ it in a rationalist, scientific manner. Arra had little difficulty integrating magic with technology after she came to Tony's Earth. In particular she uses computers to assist with divination and performing the necessary mathematical calculations to create interdimensional gates. This is in stark contrast to magical practitioners from Tony's Earth, who tend towards a more traditional superstition-driven approach to magic.In Thor: The Dark World, a brief scene has Jane being scanned by a device called a "Soul Forge" and proceeding to stun the Asgardian healer present with a brief explanation about how it works and the scientific principles behind it. She then snarks at overly-grandiose names that Asgardians bestow upon their technology, whereas humans would call the device a "Quantum Field Generator", since that's what it does. Harry Potter and the Methods of Rationality is all about this. Unlike other works which employ this trope, the protagonist runs into trouble when it turns out that, unlike physics, magic doesn't run on numbers and has its own equivalent to the Laws of Thermodynamics that's based entirely on what's fair. Bringer of Death has this approach to the use of ki, culminating in a special chapter in which Gohan explains exactly how mastering ki allows you to fire energy beams and fly . King's Quest V cites Niven's riff verbatim at one point, using this to justify a scientific device repowering a magic wand.