Phase space geometry for a deterministic quantum mechanics

Click For Summary
SUMMARY

This discussion centers on the construction of a phase space in deterministic quantum mechanics, where each point is the center of a circle with a radius equal to Planck's constant (h). The proposal suggests that outside this radius lies conventional phase space, while inside contains an inverted phase space, potentially doubling the effective dimensionality. The dual wavefunctions derived from this model are said to interfere, generating familiar particles and aligning quantum mechanics with classical causality. Key references include de Broglie's and Einstein's postulates, as well as the linearity of Schrödinger's equation.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly wavefunctions
  • Familiarity with Planck's constant and its implications in quantum theory
  • Knowledge of Schrödinger's equation and its linearity
  • Basic concepts of phase space in classical and quantum contexts
NEXT STEPS
  • Explore the implications of Planck's constant in quantum mechanics
  • Study the mathematical foundations of phase space and its dimensionality
  • Investigate the relationship between quantum mechanics and classical dynamics
  • Learn about the interference of wavefunctions and its effects on particle generation
USEFUL FOR

This discussion is beneficial for theoretical physicists, quantum mechanics researchers, and students interested in the intersection of quantum theory and classical physics.

Loren Booda
Messages
3,115
Reaction score
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
Mmm... I don't really understand much of this stuff, but it sounds really interesting!
 
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 .
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 218 ·
8
Replies
218
Views
18K
  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 55 ·
2
Replies
55
Views
6K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
8K