Hi Brent, I recall reading a few papers that discussed this question. I think that one can only obtain Hermiticity <http://en.wiktionary.org/wiki/Hermitian> with complex valued amplitudes. Self-adjointness does not obtain very easily....
On Mon, Oct 27, 2014 at 4:08 PM, meekerdb <[email protected]> wrote: > On 10/27/2014 9:53 AM, Bruno Marchal wrote: > > What remains amazing is the negative amplitude of probability, but then > that is what I show being still possible thanks to the presence of an > arithmetical quantization in arithmetic, at the place we need the > probabilities. > > > I don't recall you having shown that. Can you repeat it. Do you show > that the Hilbert space of QM must be over the complex numbers? Or does > your proof allow quaternion or octonion QM? > > Brent > > -- > You received this message because you are subscribed to a topic in the > Google Groups "Everything List" group. > To unsubscribe from this topic, visit > https://groups.google.com/d/topic/everything-list/uxC9vWWQ0Ss/unsubscribe. > To unsubscribe from this group and all its topics, send an email to > [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/everything-list. > For more options, visit https://groups.google.com/d/optout. > -- Kindest Regards, Stephen Paul King Senior Researcher Mobile: (864) 567-3099 [email protected] http://www.provensecure.us/ “This message (including any attachments) is intended only for the use of the individual or entity to which it is addressed, and may contain information that is non-public, proprietary, privileged, confidential and exempt from disclosure under applicable law or may be constituted as attorney work product. If you are not the intended recipient, you are hereby notified that any use, dissemination, distribution, or copying of this communication is strictly prohibited. If you have received this message in error, notify sender immediately and delete this message immediately.” -- 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 post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/d/optout.
