On Saturday, October 5, 2019 at 10:17:20 AM UTC-5, Brent wrote: > > > > On 10/4/2019 11:31 PM, Philip Thrift wrote: > > > > On Friday, October 4, 2019 at 6:22:07 PM UTC-5, Brent wrote: >> >> >> You can't deny >> Hilbert space and keep MWI. >> >> >> Brent >> >> > > > QMT is neither (defined by) Hilbert space nor (MWI) many worlds. > > > https://arxiv.org/pdf/1809.10427.pdf : > > Quantum Measure Theory (QMT) , at its basis, takes probability measure > theory and weakly extends it to accommodate quantum interference. Whilst > the usual “Hilbert space, operators and wavefunctions” formulation of > quantum mechanics will predict probabilities, they are restricted to > “operator at some time”-based events, and the theory is thus unable to > answer inherently spacetime questions and lacks a description without > observers. > > In contrast [to Hilbert space, operators and wavefunctions], QMT, which > was constructed with the spacetime model of causal sets in mind, uses > spacetime objects – histories – as the basis of its theory, and does not > feature any observer dependence or any collapse mechanic. The use of > histories also allows us to treat quantum and classical objects similarly, > keeping the theory general and applicable to many systems. What a history > exactly is depends > on the system being studied, but in general it will be a full (spacetime) > description of a system’s evolution. ... In addition, whilst Hilbert space > quantum mechanics uses the Hamiltonian and collapse for its dynamics, in > QMT we use the quantum measure, which measures the sum of quantum > interferences between pairs of histories in an event. > > @philipthrift > > > Calculate the energy levels of the hydrogen atom. > > > Brent >
QMT probabilities (quababilities) are calculated via path integrals. https://arxiv.org/pdf/gr-qc/9401003.pdf @philipthrift -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/aaceea72-62b3-4076-96d2-f3a6f985f6d4%40googlegroups.com.
