⁠Alex Bilzerian
Where are negative probabilities?

'Interpretations of Probability' - Andrei Khrennikov (2003, PDF):
https://t.co/dyFkbYk13E

See Ch. 3 for negative probabilities & Ch. 4 for p-adic probability. - Alex Bilzerian
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⁠Alex Bilzerian
This approach induces the rigorous mathematical theory of negative probabilities. https://t.co/oGzw2ZKBVV

'Interpretations of Probability' - Andrei Khrennikov (2003, PDF):
https://t.co/dyFkbYk13E

See Ch. 3 for negative probabilities & Ch. 4 for p-adic probability. - Alex Bilzerian
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⁠Alex Bilzerian
RT @EGHaug: but with background from strings should u not know about extended probability theories, things discussed in physics and even finance magazines etc 20+ years ago "Khrennikov: It would be natural to compare the Kolmogorov model with the p--adic measure-theoretical model. The main purely mathematical difference is that the only p--adic valued sigma-additive measures defined on sigma-fields are discrete measures. Thus the condition of
sigma-additivity is not so fruitful in
the p--adic case."
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⁠Alex Bilzerian
Where are you economists hiding @ben_golub?

This approach induces the rigorous mathematical theory of negative probabilities. https://t.co/oGzw2ZKBVV - Alex Bilzerian
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⁠Alex Bilzerian
RT @alexbilz: 'Half of a Coin: Negative Probabilities' - Gabor J. Szekely for Wilmott magazine (2005, PDF):
https://t.co/PadBkWyqBQ
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⁠Alex Bilzerian
RT @alexbilz: The only difference between a probabilistic classical world & the equations of the quantum world is that somehow or other it appears as if the probabilities would have to go negative, & that we do not know, as far as I know, how to simulate.
— Feynman
https://t.co/vc0EafWBS5
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⁠Alex Bilzerian
RT @alexbilz: The paradox of poetry and information theory https://t.co/YvLQOSq0yQ

'Paradoxes in Probability Theory and Mathematical Statistics' - Gábor J. Székely (1984, PDF):
https://t.co/zOp2CYY17P

Having a lot of fun with this one so far. - Alex Bilzerian
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⁠Alex Bilzerian
Espen’s spot on—@Kaju_Nut if you’re struggling, maybe physics isn’t your game.

but with background from strings should u not know about extended probability theories, things discussed in physics and even finance magazines etc 20+ years ago "Khrennikov: It would be natural to compare the Kolmogorov model with the p--adic measure-theoretical model. The main purely mathematical difference is that the only p--adic valued sigma-additive measures defined on sigma-fields are discrete measures. Thus the condition of
sigma-additivity is not so fruitful in
the p--adic case." - Espen Gaarder Haug
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⁠Alex Bilzerian
Negative probabilities are well defined on the mathematical level of rigorousness. https://t.co/2adnhIzqVZ

@JosephNWalker @nntaleb A negative probability (which Taleb discusses here) is the likelihood of learning anything from this word salad - Ben Golub
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