Recent content by AllanGoff
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Graduate Pauli Matrices in higher dimensions
The Dirac matrices do not answer the question, they are for Minkowski space, 3 dimensions of space and 1 of time, not the 4 spatial dimensions that are at issue. The question is a deeper one than it appears. For position and momentum only 2 conjugate bases are assumed, connected by a Fourier...- AllanGoff
- Post #3
- Forum: Quantum Physics
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Graduate Thought experiment concerning worldlines
When we last left our heroes... Now let's consider two photons, 1 & 2, both in an equally weighted superposition of polarization. Their states are \Psi_1=\frac{1}{\sqrt2}\{|H>_1+|V>_1\} and \Psi_2=\frac{1}{\sqrt2}\{|H>_2+|V>_2\} When the two particles are independent, when a measurement...- AllanGoff
- Post #15
- Forum: Special and General Relativity
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Graduate Thought experiment concerning worldlines
Thanks. \Psi^{P60}_1=\frac{1}{\sqrt2}\{|h\uparrow>+|v\downarrow>\} B=\left[\begin{array}{cc}1&0\\0&1\end{array}\right] OK, that should get us started. The current topic of this thread is whether or not the wave function collapses. Let's start with the simpler question of whether it changes...- AllanGoff
- Post #14
- Forum: Special and General Relativity
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Graduate Thought experiment concerning worldlines
This has been a fun thread but it occurs to me that our discussion is handicapped by our notation, plain English text. Does the physics forum support equations? We could then give clear examples in Dirac notation of the various superposition, entangled & collapsed states. Does anyone know how...- AllanGoff
- Post #11
- Forum: Special and General Relativity
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Graduate Thought experiment concerning worldlines
Actually, this is exactly what physics claims. The implication of Bell's inequality is that collapse not only happens but that no common cause can account for it. The challenge in spacelike separated entanglements is to explain the correlations. Consider a series of experiments where a...- AllanGoff
- Post #7
- Forum: Special and General Relativity
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Graduate Why does quantum entanglement not allow ftl communication
The Structure of Scientific Revolutions Read Kuhn.- AllanGoff
- Post #50
- Forum: Quantum Physics
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Graduate Why does quantum entanglement not allow ftl communication
QTP - The Anomalies in CQM In my first post I presented several lines of evidence that spacelike causality may be allowed in physics. Each was presented, briefly, and without justification. Ken G took issue with item number 3, the 5 anomalies of classical quantum mechanics (CQM), so I'll...- AllanGoff
- Post #48
- Forum: Quantum Physics
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Graduate Why does quantum entanglement not allow ftl communication
To Ken G. Thank you for taking the time to comment. It is a little late here, so I'll respond in full to selected comments tomorrow. This blog prevents posting URL's until at least 15 posts have been made, a rule I presume exists to keep spam to a minimum, but you should have no trouble finding...- AllanGoff
- Post #45
- Forum: Quantum Physics
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Graduate Why does quantum entanglement not allow ftl communication
Quantum Temporal Paradox There are indications that despite the Grandfather Paradox and Eberhard's proof to the contrary, quantum nonlocality may in fact support FTL. The lines of evidence are as follows; 1. Teleportation does in fact transmit information, since the state of the particle...- AllanGoff
- Post #41
- Forum: Quantum Physics