A Quantum World of Propensity Forms
Revisit: Hamiltonian Quantum Mechanics
- Energy operator generates the wave function,
- according to Schrödinger’s time-dependent equation
- Propensity wave generates the actual measurement
- according to Born’s Probability Rule for |y|2
- Actual measurements = selections of alternate histories
- ‘Energy’, ‘propensity waves’ are two kinds of propensity
Measurements are ‘Actual Selections’
- Actual measurements are selections of alternate histories
- Unphysical alternatives actually removed by some (undiscovered) dynamical
- This sets to zero any residual coherence between nearly-decoherent histories,
if a branch disappears.
- Different alternatives uioften summarised by an operator
A of which they are distinct eigenfunctions: Aui=ai
and labeled by some eigenvalues ai .
‘Nonlocal Hidden Variables’ in ordinary QM:
- ‘Energy’, ‘propensity’ and ‘actual events’ are all present, though hidden,
in a ‘generative’ sequence.
- Energy and propensity exist simultaneously, continuously and non-locally.
- Actual events are intermittent.
- Does this describe QM as we know it?
What does the wavefunction describe?
- The wavefunction describes dynamic substances, which are configuration-fields
of propensity for alternate histories.
- The wavefunction of an ‘individual particle’ Y(x,t)
describes the ‘isolated’ propensity for x-dependent decoherent alternatives
if these were initiated at time t.
Wholeness and Non-locality
- The propensity fields:
- extend over finite space regions and time intervals, so are non-local,
- act to select just one actual alternative,
- subsequent propensity fields develop from the actual alternative
- ‘whole’ substances, but:
- usually contain many ‘virtual substances’ (see later) in whole ‘unitary
- So express using configuration space, not in 3D.
We need further analysis of ‘quantum composition’.
- I hope that this is an accurate classification of the several ‘stages’
in nature, as seen in QM.
- Should help to understand quantum physics and what really goes on.
- We can find ‘what the wave function describes’, if we think carefully
and with imagination.