Wave-Particle Duality: Always Both, Never Isolated

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Wave-particle duality is a fundamental concept in quantum mechanics, asserting that matter exhibits both wave and particle characteristics simultaneously, though only one can be observed at a time. The discussion emphasizes that these characteristics cannot be isolated; a matter is always both a wave and a particle. Observations reveal one aspect, while unmeasured states behave like waves. The conversation also touches on the mathematical nature of quantum mechanics, where "wave" and "particle" are merely models. A forthcoming publication aims to provide experimental evidence supporting a geometrical interpretation of quantum mechanics, suggesting an internal clock frequency for particles.
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Does this describe wave particle duality correctly?

'Whether observed or not, a matter's wave particle duality still persist. The wave and matter characteristic cannot be isolated: A matter cannot be a wave sometimes and particle the other times. It must be both at anytime.
However, when we observed a matter, we can only observed one of the characteristic."

Please correct me if I am wrong.
 
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unmeasured, between the looks 'it' acts like a wave, whenever measured, you observe a particle respectively the attributes of a particle
 
The axioms of Quantum Mechanics do not use any of the words "wave" or "particle".The physical system is described by mathematical objects:coordinates and momenta,classical Hamiltonian,angular momentum,etc.

Both "particle" and "wave" are mathematical models.

Daniel.
 
http://www.qmw.ac.uk/~zgap118/3/

http://www.qmw.ac.uk/~zgap118/4/

BJ
 
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Terry Giblin said:
If you then drill two holes on one side of the box, an interference pattern will start to form outside the box and eventually an electron will still appear from the other side of the box. (Quantum electron-wave boxes)

Have you ever seen an interference pattern from a unique electron? If yes please tell me, the energy momentum conservation law is no more valid!

Seratend.

P.S. Please try to use a minimum of the usual physical language in your posts. I have never heard about a mathematical model of clouds in QM. (This is not a meteo forum).
 
We are publishing an experimental result which goes in the direction of a geometrical interpretation of quantum mechanic: there is a particle and there is a wave. This result, if confirmed, shows that a particle (electron in our case) has an internal clock frequency in its rest frame nu0=m0c2/h, as conjectured by Louis de Broglie as early as 1924. The paper will be published in a few monthes in “Annales de la Fondation Louis de Broglie”. It can be read on my site http://www.freewebs.com/raphaelzorgue/index.htm .
 
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Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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