Lietuvos nacionalinė fizikos konferencija 2019 m. spalio mėn. 3-5 d., Kaune

A Geometrical Concept for Distinguishing Observer and Observed

**Main concepts**

- Grounds for a definition measurement
- Interpretation of the collapse of the wave function
- Complex possibility vs. real actuality

**Statement of problem**

The measurement problem, whether and how the wave function collapses, persists as a longstanding challenge for the various interpretations of quantum mechanics.

Conclusions

- Four interpretations: quantum, classical, and two intermediate. Classical is a special "objective" frame where the observer has been removed.

Offer an observation

Observer introduces asymmetry. Observer entangles with one possibility.

Measurement finds the system in a definite state. Thus masurement collapses the wave function. The evolution of the system then continues from that definite state.

Questions

- Why cannot we predict precise results for measurements, but only probabilities?
- How can we establish a correspondence between quantum and classical reality?
- How are the probabilities converted into an actual, sharply well-defined classical outcome?

Idea:

- A particle is, of itself, not an observed, but rather an observer. It observes possibilities - it lives in the world of complex numbers. It only collapses when it comes into contact with a second system.
- The Lie algebras give the ways of having a distinct system (An) or having two systems related (in three possible ways (geometries - choice frameworks): gluing, fusing, and folding). This happens to a Or systems
- Observer does not distinguish a particular state. Rather, observer gets entangled with a particular state. Thus the observer is growing a particular reality. How do different observers avoid contradicting each other? The entire system of an observed can be flipped over.

A federation of observers.

**Mintys**

Coordinate systems symmetry group is not the alternating group but the subgroup of the hyperoctahedral group. And this subgroup can arise only if we replace each dimension with a bipolar axis. Which is the point of the intermediate structures.

Conclusion: Penrose's trinity "three forms of existence" 1.4, pages 17-21 - physical world, Platonic mathematical world, mental world - theoretical physics, theoretical math, theoretical cognition

The meaning of numbers: complex, real, quaternionic.

Is the system symmetric or not. If it is a subsystem, then it is symmetric, and so there is a degeneracy (dividing by 2). If it is not a subsystem, then it is not symmetric.

**Žodynėlis**

- Bangos funkcija, bangos lygtis
- Kvantinė mechanika
- Hamiltonianas

**References**

- Penrose, "Road to Reality"
- Corfield
- Arnold

**Skaitiniai**

Parsiųstas iš http://www.ms.lt/sodas/Mintys/20191003Fizika

Puslapis paskutinį kartą pakeistas 2019 liepos 06 d., 17:11