scholarly journals Some properties of the world crystal in fractal spacetime theory.

2000 ◽  
Vol 53 (2) ◽  
pp. 231 ◽  
Author(s):  
M. Agop ◽  
I. Oprea ◽  
C. Sandu ◽  
R. Vlad ◽  
C. Gh. Buzea ◽  
...  
Keyword(s):  
Uncertainty Relation ◽  
Background Field ◽  
Heisenberg Uncertainty Relation ◽  
Wave Particle Duality ◽  
The World ◽  
Heisenberg Uncertainty ◽  
Spacetime Theory

We prove that the wave-particle duality, inertia and the Heisenberg uncertainty relation are properties of a fractal spacetime, self-structured by a gravitomagnetic background field, in the world crystal.

De Broglie Waves: Are Electrons Waves or Particles?

2020 ◽  
pp. 100-120
Author(s):  
M. Suhail Zubairy
Keyword(s):  
Uncertainty Relation ◽  
Subsequent Development ◽  
Conclusive Evidence ◽  
Einstein Condensation ◽  
Heisenberg Uncertainty Relation ◽  
Bose Einstein Condensation ◽  
De Broglie Waves ◽  
Wave Particle Duality ◽  
Heisenberg Uncertainty ◽  
Bose Einstein

In 1924, de Broglie postulated that particles can behave like waves, thus complementing the observation by Einstein in 1905 that light can behave like particles. This wave–particle duality aspect for both particles and waves had a deep impact on the subsequent development of quantum mechanics. Some highly counterintuitive results, like the Heisenberg uncertainty relation and the Bose–Einstein condensation, that were motivated by wave–particle duality are discussed in this chapter. Following de Broglie’s hypothesis, a wave packet description for a particle is described. An analysis of the Heisenberg microscope is presented, thus motivating the Heisenberg uncertainty relation. The Davisson–Germer experiment that showed that electrons can behave like waves and the Compton effect that provided early conclusive evidence that light can behave like particles are also discussed.

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