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**VottCetaVeivE** · 09-09-2012, 09:23 AM

In effect I think I am trying to force the mathematics describing a hilbert space to occupy a 3D and 1T universe by virtue of the requirement that you are forced to take into account the geometrical properties of each grid of the spacetime fabric in defining a global wavefunction......if that makes any sense........*gack*....(probably doesn't)

A bit of background from here

Why do we need space-time descriptions? Well, quantum states are basic
elements of abstract Hilbert space and as such they do not have space-time
localization. Abstract quantum mechanics provides a general framework that
would cover all possibilities a system may show up; it is a foundational construct
but one does not get hints to construct actual models for most operators. The only
thing one can require in abstract space is existence that is ensured by endowing
the framework with a definite mathematical structure. But the world of laboratory
experiments imposes space-time frameworks.
Real space descriptions require concepts of spatiality and temporality lying
down foundational elements supporting space and time approaches construction.
But its mathematical structure cannot be induced from experiments reflecting
quantum phenomena in laboratory (real) space. While these levels are
incommensurate mappings bridging both would do the job.
Because abstract Hilbert space is a pure mathematical structure, the task
(problem) is to relate the abstract level to the laboratory world via a quantum
theory incorporating aspects of space-time physics. To delineate these mappings
the concept of Fence helps “interfacing” pure mathematics to real space
representations; they point to selected measurable responses in laboratory world.
Laboratory benches are placed in real world space; experiments are performed
at particular moments and locations; electromagnetic energy (photons) serves
communication purposes; interaction outcomes have a character of events that
can be recorded, read and/or used to set up further experiments; all these elements
use a space-time framework. In the space separating/relating these realms (Fence)
the formalism is cast in terms of elements allowing for a bridge linking real to
quantum levels. Inertial frames play such a role.

09-09-2012, 09:23 AM	#2
VottCetaVeivE Join Date Oct 2005 Posts 518 Senior Member	In effect I think I am trying to force the mathematics describing a hilbert space to occupy a 3D and 1T universe by virtue of the requirement that you are forced to take into account the geometrical properties of each grid of the spacetime fabric in defining a global wavefunction......if that makes any sense........gack....(probably doesn't) A bit of background from here Why do we need space-time descriptions? Well, quantum states are basic elements of abstract Hilbert space and as such they do not have space-time localization. Abstract quantum mechanics provides a general framework that would cover all possibilities a system may show up; it is a foundational construct but one does not get hints to construct actual models for most operators. The only thing one can require in abstract space is existence that is ensured by endowing the framework with a definite mathematical structure. But the world of laboratory experiments imposes space-time frameworks. Real space descriptions require concepts of spatiality and temporality lying down foundational elements supporting space and time approaches construction. But its mathematical structure cannot be induced from experiments reflecting quantum phenomena in laboratory (real) space. While these levels are incommensurate mappings bridging both would do the job. Because abstract Hilbert space is a pure mathematical structure, the task (problem) is to relate the abstract level to the laboratory world via a quantum theory incorporating aspects of space-time physics. To delineate these mappings the concept of Fence helps “interfacing” pure mathematics to real space representations; they point to selected measurable responses in laboratory world. Laboratory benches are placed in real world space; experiments are performed at particular moments and locations; electromagnetic energy (photons) serves communication purposes; interaction outcomes have a character of events that can be recorded, read and/or used to set up further experiments; all these elements use a space-time framework. In the space separating/relating these realms (Fence) the formalism is cast in terms of elements allowing for a bridge linking real to quantum levels. Inertial frames play such a role.
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