On 10/5/2019 11:16 AM, Philip Thrift wrote:
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 <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. @philipthriftCalculate 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
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