Good point, but the problem here really is not the idea of polytechnika as such (thanks for the detail, BTW. I knew they existed, but not exactly where). The thing that is going to be the problem is the "bringing scientific education to the masses and scientific thinking into government" thing. The big picture includes a lot of tecvhnical colleges with scholarship programmes, things like civil service reform (no longer requiring a law degree, introducing a class of Fachbeamte to rank alongside the traditional lawyer in the höherer Dienst), scientific education in schools, and a much higher status in the military for the technical branches and in the navy for engineer officers. If you're a Junker, it's going to look like a concerted attack on everything you stand for. Except for the eugenics laws, these are universally uncontroversial.
Technical Universities existing in 1906 (our TL)
Kingdom of Prussia:
TH Berlin (in Berlin-Charlottenburg)
TH Hannover
TH Aachen
TH Danzig
TH Breslau (just being created, teaching started in 1910)
Kingdom of Saxony:
TH Dresden
(Bergakademie Freiberg ranked as a Technical university in 1899)
Kingdom of Bavaria:
TH Munich
Kingdom of Wuerttemberg:
TH Stuttgart
Grand Duchy of Badenia:
TH Karlsruhe
Grand Duchy of Hesse:
TH Darmstadt
Duchy of Brunsvick, Lippe and Waldeck:
TH Braunschweig
That´s 10 (11 or 12) Technical universities compared to 22 "traditional" universities existing.
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A
sample of existing Engineer (applied sciences) schools (state owned unless otherwise mentioned):
Rhenish Technical school Bingen (1897)
Bergschule (mining engineer?) Eisleben (1798)
Bergakademie (mining academy) Freiberg (1765)
Engineer school for civil engineering Gotha (1805)
Balthasar-Neumann-Polytechnica Schweinfurt (1850)
Royal Bavarian Technical school Nuremberg (1907) evolved out of the Polytechnica Nuremberg from 1833
Engineer school Giessen (1838)
Engineer school Konstanz (1906)
Engineer school Furtwangen (1850)
Engineer school for civil engineering Holzminden (1830)
Technical school Strelitz (1890), privately owned
Engineer academy Wismar (1908)
Technical school of the Free Hanse town of Bremen (1894)
Civil engineering school Munich (1909) evolved out of the Munich "Baugewerbeschule" from 1822
Thuringian technical school Ilmenau (1894), privately owned
As I said this is just a sample. I found 2 additional ones in Frankfurt/Main. And I didn´t even look at the Ruhr region, Berlin, Hamburg and so on. I suspect the actual number is a lot higher.
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Since 1892 there also exist evening schools for metal working workers. To teach these workers theoretical knowledge (added to their already existing practical knowledge). At first without exams. Over time they developed into evening "machine building (Maschinenbau)" schools with an education over several semesters with exams and certificates.
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So the infrastructure seems to exist already. Enlargement of the schools and more scholarships shouldn´t be that much of a problem.
Of course the Emperor is only King of Prussia. He can´t interfere in the education systems of the other German states.
Reform of the civil service and a higher status for the technical branches in the military might be more of a problem, I agree here.
Not necessarily for federal (Imperial) civil servant positions and the Imperial navy. Here the Reichstag could help, with conservatives only having around 20% of the seats.
It´s more difficult in the Kingdom of Prussia and the Prussian army. Due to the three class franchise election system conservatives have almost 50% of the seats in the Prussian lower house ("Abgeordnetenhaus"). The Emperor would need the support of every other party.
The upper house ("Herrenhaus") might be even more difficult. Clear conservative majority. Of course the Emperor as King of Prussia does have the right to appoint additional members to this chamber.....
And his approval is needed for any elected member to take his seat in the "Herrenhaus".
More scientific education in schools?
There is already a differentiation in Prussia (last changed 1900).
-The traditional old-language "Gymnasium" (secondary school?) with Latin and Greek teaching that allows you to study at a university and
- the modern-language "Realgymnasium" (secondary school?) teaching modern languages that allows you to study at a university and
- the "Oberrealschule" (secondary school?) focussing on mathematics and sciences that allows you to study at a university (except theology)
If his foundation showers "Oberrealschulen" with money nobody could do anything about it.
He might approach too the already existing private science clubs / associations and the VDI (association of German engineers). To organize outside pressure.