Axil, that was very well said but you still seem unwilling to turn the next page! You stop at the examples of observers accelerating toward or away from each other with an assumed baseline of zero velocity. We know that relativistic effects are difficult to produce this way because C and dV are in a Pythagorean relationship with each other which requires near C velocities to demonstrate time dilation or Lorentzian contraction. You do make a nice analogy between warm gases and the ether that IMHO extends down below assumed baseline of zero velocity when you further reduce vacuum density by virtue of Casimir suppression.. my contention is that these geometries provide a short cut method [although very small regions] where vacuum density can be as negative relative to zero velocity in open space as the stationary observer on earth is to his paradox twin approaching near C velocity or equivalent gravity well. I think we are side stepping the Pythagorean relationship and it is relativistic effects that Shawyer is exploiting in his impossible drive and we are also seeing in LENR where time dilation allows us to unbalance COE by trading time for space… could Mills hydrino and f/h really be just contracted hydrogen like we would see screaming out of the suns corona but without the velocity? The differential between vacuum pressures instead produced by the surrounding Casimir geometry? This would make zero velocity of open space equivalent to the near C paradox twin while the Casimir suppressed regions with “negative?” pressure would be equivalent to the stationary paradox twin on earth. My interpretation of Casimir effect and by extension catalytic action is simply changes in vacuum density proportional to changes in the surrounding nano geometry tapestry thru which the gas is randomly being pushed, all these different names for “small” hydrogen could just be Lorentzian contracted without motion.. modifying the ether instead of the speed of the object through it.
Fran From: Axil Axil [mailto:[email protected]] Fran Sent: Friday, October 30, 2015 5:01 PM To: vortex-l Subject: Re: [Vo]:Particles are relative Because Hawking radiation may be a part of LENR, the Unruh effect is something one must know to understand LENR fully. On Fri, Oct 30, 2015 at 4:53 PM, Axil Axil <[email protected]> wrote: <https://en.wikipedia.org/wiki/Unruh_effect> en.wikipedia.org/wiki/Unruh_effect Particles are relative Unruh demonstrated theoretically that the notion of vacuum depends on the path of the observer through spacetime. From the viewpoint of the accelerating observer, the vacuum of the inertial observer will look like a state containing many particles in thermal equilibrium—a warm gas. Although the Unruh effect would initially be perceived as counter-intuitive, it makes sense if the word vacuum is interpreted in a specific way. In modern terms, the concept of "vacuum" is not the same as "empty space": space is filled with the quantized fields that make up theuniverse. Vacuum is simply the lowest possible energy state of these fields. The energy states of any quantized field are defined by the Hamiltonian, based on local conditions, including the time coordinate. According to special relativity, two observers moving relative to each other must use different time coordinates. If those observers are accelerating, there may be no shared coordinate system. Hence, the observers will see different quantum states and thus different vacua. In some cases, the vacuum of one observer is not even in the space of quantum states of the other. In technical terms, this comes about because the two vacua lead to unitarily inequivalent representations of the quantum field canonical commutation relations. This is because two mutually accelerating observers may not be able to find a globally defined coordinate transformation relating their coordinate choices. An accelerating observer will perceive an apparent event horizon forming (see Rindler spacetime). The existence of Unruh radiation could be linked to this apparent event horizon, putting it in the same conceptual framework as Hawking radiation. On the other hand, the theory of the Unruh effect explains that the definition of what constitutes a "particle" depends on the state of motion of the observer. The free field needs to be decomposed into positive and negative frequency components before defining the creation and annihilation operators. This can only be done in spacetimes with a timelike Killing vector field. This decomposition happens to be different in Cartesianand Rindler coordinates (although the two are related by a Bogoliubov transformation). This explains why the "particle numbers", which are defined in terms of the creation and annihilation operators, are different in both coordinates. The Rindler spacetime has a horizon, and locally any non-extremal black hole horizon is Rindler. So the Rindler spacetime gives the local properties of black holes and cosmological horizons. The Unruh effect would then be the near-horizon form of the Hawking radiation.
