# Phase space geometry for a deterministic quantum mechanics

1. Aug 16, 2004

### Loren Booda

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: Apr 21, 2017
2. Aug 17, 2004

### Entropy

Mmm... I don't really understand much of this stuff, but it sounds really interesting!

3. Aug 18, 2004

### TillEulenspiegel

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 .