Understanding randomness in universe

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SUMMARY

This discussion focuses on the concept of randomness in a universe with a limited number of particles, specifically addressing how randomness evolves as the number of particles increases from one to four. It highlights that, according to quantum mechanics (QM), a universe with a small number of particles evolves under the Hamiltonian related to their interactions, rendering the notion of measurement—and thus randomness—meaningless without a macroscopic measuring device. This leads to a deeper exploration of the measurement problem in quantum mechanics.

PREREQUISITES
  • Quantum Mechanics (QM) principles
  • Understanding of Hamiltonian mechanics
  • Concept of measurement problem in quantum physics
  • Basic knowledge of particle interactions
NEXT STEPS
  • Research the Hamiltonian formulation in quantum mechanics
  • Explore the implications of the measurement problem in quantum theory
  • Study the evolution of quantum states in multi-particle systems
  • Investigate the role of macroscopic measuring devices in quantum measurements
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Physicists, quantum mechanics students, and researchers interested in the foundational aspects of quantum theory and the nature of randomness in particle interactions.

shivakumar
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TL;DR
finding randomness in single particle universe and understand randomness in nature
how will randomness of particle be in one particle universe? how will it evolve with two, three or four particle based universe?
 
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shivakumar said:
TL;DR Summary: finding randomness in single particle universe and understand randomness in nature

how will randomness of particle be in one particle universe? how will it evolve with two, three or four particle based universe?
As far as QM is concerned, a universe with a small number of particles will evolve under the Hamiltonian associated with their mutual interaction. Without a macroscopic measuring device, the question of a measurement of the particles is meaningless. In that sense there is no randomness.

That is one variation of the so-called measurement problem.
 

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