1) . I intuited the connection between the Einstein-Rosen (ER) wormhole and Einstein-Podolsky-Rosen (EPR) quantum entanglement back in 1973 when I was with Abdus Salam at the International Centre of Theoretical Physics in Trieste, Italy. This idea was published in the wacky book “Space-Time and Beyond” (Dutton, 1975) described by MIT physics historian David Kaiser in his book “How the Hippies Saved Physics.” Lenny Susskind, who I worked with at Cornell 1963-4, rediscovered this ER = EPR connection in the black hole “firewall” paradox. Lenny envisions a multi-mouthed wormhole network connecting the Hawking radiation particles their entangled twins behind the evaporating event horizon. “each escaping particle remains connected to the black hole through a wormhole” Dennis Overbye, Einstein and the Black Hole, New York Times August 13, 2013. The no-signaling theorem corresponds to the wormhole pinching off before a light speed limited signal can pass through one mouth to the other. Now we know that traversable wormhole stargates are possible using amplified anti-gravity dark energy. This corresponds to signal-nonlocality in post-quantum theory violating orthodox quantum theory.
1) Localizing global symmetries requires the addition of compensating gauge connections in a fiber bundle picture of the universe. Indeed, the original global symmetry group is a smaller subgroup of the local symmetry group. The gauge connections define parallel transport of tensor/spinor fields. They correspond to the interactions between the several kinds of charges of the above symmetries. I shall go into more details of this elsewhere. Indeed localizing the above spacetime symmetries corresponds to generalizations of Einstein’s General Relativity as a local gauge theory.[i] For example, localizing the space and time global translational symmetries means that the Lie group transformations at different events (places and times) in the universe are independent of each other. If one believes in the classical special relativity postulate of locality that there are no faster-than-light actions at a distance, then the transformations must certainly be independent of each other between pairs of spacelike separated events that cannot be connected by a light signal. However, the local gauge principle is much stronger, because it applies to pairs of events that can be connected not only by a light signal, but also by slower-than-light timelike signals. This poses a paradox when we add quantum entanglement. Aspect’s experiment and others since then, show that faster-than-light influences do in fact exist in the conditional probabilities (aka correlations) connecting observed eigenvalues of quantum observable operators independently chosen by Alice and Bob when spacelike separated. I shall return to this in more detail elsewhere. However, the no entanglement-signaling postulate is thought by many mainstream theoretical physicists to define orthodox quantum theory. It’s believed that its violation would also violate the Second Law of Thermodynamics. Note that the entanglement signal need not be faster-than-light over a spacelike separation between sender and receiver. It could be lightlike or timelike separated as well. Indeed it can even be retrocausal with the message sent back-from-the-future. John Archibald Wheeler’s “delayed choice experiment” is actually consistent with orthodox quantum theory’s no-signaling premise. The point is, that one cannot decode the message encoded in the pattern of entanglement until one has a classical signal key that only propagates forward in time. What one sees before the classical key arrives and a correlation analysis is computed is only local random white noise. However, data on precognitive remote viewing as well as brain presponse data suggests that no-entanglement signaling is only true for dead matter. Nobel Prize physicist, Brian Josephson first published on this. I have also suggested it using Bohm’s ontological interpretation (Lecture 8 of Michael Towler’s Cambridge University Lectures on Bohm’s Pilot Wave). Antony Valentini has further developed this idea in several papers. Post-quantum “signal nonlocality” dispenses with the need to wait for the light-speed limited retarded signal key propagating from past to future. Local non-random noise will be seen in violation of the S-Matrix unitarity “conservation of information” postulate of G. ‘t Hooft, L. Susskind et-al. Indeed the distinguishable non-orthogonality of entangled Glauber macro-quantum coherent states seems to be the way to get signal nonlocality. This gets us to the “Black Hole War” between Susskind and Hawking about information loss down evaporating black holes. It seems that Hawking caved in too fast to Susskind back in Dublin in 2004. I intuited the connection between the Einstein-Rosen (ER) wormhole and Einstein-Podolsky-Rosen (EPR) quantum entanglement back in 1973 when I was with Abdus Salam at the International Centre of Theoretical Physics in Trieste, Italy. This idea was published in the wacky book “Space-Time and Beyond” (Dutton, 1975) described by MIT physics historian David Kaiser in his book “How the Hippies Saved Physics.” Lenny Susskind, who I worked with at Cornell 1963-4, rediscovered this ER = EPR connection in the black hole “firewall” paradox.
[i] Localizing the four space and time translations corresponds to Einstein’s general coordinate transformations that are now gauge transformations defining an equivalence class of physically identical representations of the same curvature tensor field. However, the compensating gauge connection there corresponds to torsion fields not curvature fields. The curvature field corresponds to localizing the three space-space rotations and the three space-time Lorentz boost rotations together. Einstein’s General Relativity in final form (1916) has zero torsion with non-zero curvature. However, T.W.B. Kibble from Imperial College, London in 1961 showed how to get the Einstein-Cartan torsion + curvature extension of Einstein’s 1916 curvature-only model by localizing the full 10-parameter Poincare symmetry Lie group of Einstein’s 1905 Special Relativity. The natural geometric objects to use are the four Cartan tetrads that correspond to Local Inertial Frame (LIF) detector/observers that are not rotating about their Centers of Mass (COM) that are on weightless zero g-force timelike geodesics. Zero torsion is then imposed as an ad-hoc constraint to regain Einstein’s 1916 model as a limiting case. The ten parameter Poincare Lie group is subgroup of the fifteen parameter conformal group that adds four constant proper acceleration hyperbolic Wolfgang Rindler horizon boosts and one dilation scale transformation that corresponds to Herman Weyl’s original failed attempt to unify gravity with electromagnetism. The spinor Dirac square roots of the conformal group correspond to Roger Penrose’s “twistors.”