Phase space geometry for a deterministic quantum mechanics

In summary, this theory suggests that within the quantum realm there is a direct correlation between the global phase point and its twin, accessible locally by measurement. This allows for the determination of QM, manifesting as a one-to-one correspondence between a global phase point and its twin. However, this theory is not deterministic and is instead reliant on the principle of mirror symmetry.
  • #1
Loren Booda
3,125
4
Construct a phase space where every point is center to a circle of radius h, Planck's constant. Particular to such a given point, outside its radius lies conventional phase space and inside, conventional phase space inverted through h - together potentially doubling the effective dimensionality. Their mirror symmetry enables quantum measurement to compactify microscopically the entire range of macroscopic phase space.

Quantum mechanics is thus determinable, manifesting as a one-to-one correspondence between a global phase point and its twin, accessible locally by measurement. Concealed within the quantum scale resides the correlate to uncertainty, reciprocal through h: classical dynamics. Inverted phase space and its corresponding wavefunction that predicts a spectrum of virtual particles are direct consequences of the conventional quantum wavefunction, de Broglie's and Einstein's postulates, and the linearity of Schroedinger's equation (http://www.quantumdream.net). The dual wavefunctions interfere to generate familiar particles and complete the phase space landscape with the extra information needed to coincide quantum with classical causality.
 
Last edited by a moderator:
Physics news on Phys.org
  • #2
Mmm... I don't really understand much of this stuff, but it sounds really interesting!
 
  • #3
Wow sounds pretty deep !.

"Construct a phase space where every point is center to a circle of radius h, Planck's constant."

Isn't Planck's constant a measure of E and not of space? Perhaps you meant Planck length ?

"Particular to such a given point, outside its radius lies conventional phase space and inside, conventional phase space inverted through h - together potentially doubling the effective dimensionality."

Hmm do you have the maths to explain this better? Doubling the dimensions in relation to...? How does it double?

"Their mirror symmetry enables quantum measurement to compactify microscopically the entire range of macroscopic phase space.

How so ? I've always been taught that QM doesn't lend itself to principles that determine interaction at larger then at the molecular level ( with exceptions -QED)..eh damn American education system.

"Quantum mechanics is thus determinable....."

I'm sorry but QM is anything but deterministic. Perhaps I have misunderstood your post . Sorry if I'm a dullard but if you could walk us through the finer points of your proposal I'm sure we'd all appreciate it .
 

1. What is phase space geometry in the context of deterministic quantum mechanics?

Phase space geometry is a mathematical framework used to describe the behavior of a deterministic quantum mechanical system. It involves representing the state of a system as a point in a multi-dimensional space, with each dimension corresponding to a different physical property of the system.

2. How is phase space geometry different from traditional quantum mechanics?

In traditional quantum mechanics, the state of a system is described by a wave function, which contains all the information about the system. In phase space geometry, the state is represented as a point in a multi-dimensional space, making it easier to analyze the system's behavior and predict its future evolution.

3. Can phase space geometry be applied to all quantum mechanical systems?

Yes, phase space geometry can be applied to all deterministic quantum mechanical systems, as it provides a universal mathematical framework for describing their behavior. However, it is not applicable to non-deterministic systems, such as those described by the Copenhagen interpretation of quantum mechanics.

4. How does phase space geometry help in understanding the dynamics of a quantum mechanical system?

Phase space geometry allows us to visualize the evolution of a quantum mechanical system over time, as the state of the system moves through the multi-dimensional space. This can provide valuable insights into the behavior of the system and help predict its future state.

5. Are there any practical applications of phase space geometry in quantum mechanics?

Yes, phase space geometry has practical applications in areas such as quantum computing and quantum communication, where understanding the dynamics of quantum systems is crucial. It can also be useful in studying the behavior of complex quantum systems, such as molecules and chemical reactions.

Similar threads

Replies
7
Views
900
  • Quantum Interpretations and Foundations
7
Replies
218
Views
12K
Replies
55
Views
4K
  • Quantum Physics
Replies
1
Views
622
Replies
1
Views
879
  • Beyond the Standard Models
Replies
26
Views
684
Replies
1
Views
916
  • Quantum Physics
Replies
16
Views
1K
Back
Top