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Want RIGOR? Define a STAR ALGEBRA that ensures c-algebraic structure

And define self-adjointedness constraints and then maybe we ...
fluid
  03/09/25
Later
UN peacekeeper
  03/09/25
As long as you ensure WELL-POSEDNESS I’m sure that&rsq...
fluid
  03/09/25
this is a lib arts board, faggot. calculatorcels gtfo.
,.,.,:,,:,..,:::,...,:,.,....:.,:.::,.,
  03/09/25
A star algebra ensuring a C-algebraic structure* is a comple...
metaphysical certitude
  03/09/25
Ah but usually the physical generators of a LIE ALGEBRA are ...
fluid
  03/09/25
That answer was from grok. Whatever you're talking about is ...
metaphysical certitude
  03/09/25
Yeah probably. I’m getting old and I don’t reme...
fluid
  03/09/25
You mean bourbaki?
UN peacekeeper
  03/09/25
To be fair I think 100 pages of donkey work and systematic r...
fluid
  03/09/25


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Date: March 9th, 2025 2:09 PM
Author: fluid

And define self-adjointedness constraints and then maybe we will talk

(http://www.autoadmit.com/thread.php?thread_id=5691361&forum_id=2...id.#48730484)



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Date: March 9th, 2025 2:11 PM
Author: UN peacekeeper

Later

(http://www.autoadmit.com/thread.php?thread_id=5691361&forum_id=2...id.#48730492)



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Date: March 9th, 2025 2:15 PM
Author: fluid

As long as you ensure WELL-POSEDNESS I’m sure that’s fine but there better be RIGOR

(http://www.autoadmit.com/thread.php?thread_id=5691361&forum_id=2...id.#48730503)



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Date: March 9th, 2025 2:16 PM
Author: ,.,.,:,,:,..,:::,...,:,.,....:.,:.::,.,


this is a lib arts board, faggot.

calculatorcels gtfo.

(http://www.autoadmit.com/thread.php?thread_id=5691361&forum_id=2...id.#48730507)



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Date: March 9th, 2025 2:18 PM
Author: metaphysical certitude

A star algebra ensuring a C-algebraic structure* is a complex algebra with an involution ∗ and a norm making it a complete Banach space, where |a^* a\| = \|a\|^2\|a^* a\| = \|a\|^2 holds. Self-adjointness constrains elements ( a ) to satisfy a∗=a, leading to real spectra and compatibility with the norm and algebraic operations in a way that mirrors Hermitian operators or real-valued functions.



(http://www.autoadmit.com/thread.php?thread_id=5691361&forum_id=2...id.#48730513)



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Date: March 9th, 2025 2:23 PM
Author: fluid

Ah but usually the physical generators of a LIE ALGEBRA are ANTI-Hermitian, at least if we want unitary exponentiation so don’t forget to clarify sign convention if you want full rigor. Now get on that 50 pages of donkey work proofs and maybe, just maybe we will accept it into our journal. But only if the right people accept the RIGOR. Better not throw in any of that airy fairy poetic French math either. We don’t need another Mandelbrot around here, this is Anglo-American RIGOR not continental fluff

(http://www.autoadmit.com/thread.php?thread_id=5691361&forum_id=2...id.#48730524)



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Date: March 9th, 2025 2:27 PM
Author: metaphysical certitude

That answer was from grok. Whatever you're talking about is obsolete.

(http://www.autoadmit.com/thread.php?thread_id=5691361&forum_id=2...id.#48730540)



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Date: March 9th, 2025 2:28 PM
Author: fluid

Yeah probably. I’m getting old and I don’t remember shit anyway

(http://www.autoadmit.com/thread.php?thread_id=5691361&forum_id=2...id.#48730547)



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Date: March 9th, 2025 3:21 PM
Author: UN peacekeeper

You mean bourbaki?

(http://www.autoadmit.com/thread.php?thread_id=5691361&forum_id=2...id.#48730690)



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Date: March 9th, 2025 8:10 PM
Author: fluid

To be fair I think 100 pages of donkey work and systematic rigorous formalism is gay as fuck anglosphere flame so fuck bourbaki although I guess your point is that the French had rigor too. Math is an art. Synesthetes pull stuff from the noosphere and others canonize it and prove it later when they find it useful. Math is a branch of metaphysics and so is theoretical physics.

(http://www.autoadmit.com/thread.php?thread_id=5691361&forum_id=2...id.#48731559)