Text Size
Facebook Twitter More...

Bohm's Hidden Variables HV in orthodox quantum theory are "test particles" in a similar sense to Einstein's GR test particles. The paths of HV are piloted by the quantum potential Q(nonlocal configuration space for entangled systems) without any direct influence of HV back on Q just like geodesic GR test particles are piloted by the local curvature tensor Ruvwl without being included in Tuv(source).  The lack of direct back reaction in the quantum case corresponds to Valentini's "sub-quantal thermal equilibrium" with Shimony's "passion at a distance" and the no-cloning a quantum theorem.

"Now, in special relativity we can think of an inertial coordinate system, or
`inertial frame', as being dened by a field of clocks, all at rest relative to each
other. In general relativity this makes no sense, since we can only unambiguously
dene the relative velocity of two clocks if they are at the same location. Thus
the concept of inertial frame, so important in special relativity, is banned from
general relativity!"

Baez means Global Inertial Frame (GIF) above. GR replaces GIF with LIF as he points out below.

"If we are willing to put up with limited accuracy, we can still talk about the
relative velocity of two particles in the limit where they are very close, since
curvature eects will then be very small. In this approximate sense, we can talk
about a `local' inertial coordinate system. However, we must remember that
this notion makes perfect sense only in the limit where the region of spacetime
covered by the coordinate system goes to zero in size. ...

Einstein's equation can be expressed as a statement about the relative acceleration
of very close test particles in free fall. Let us clarify these terms a
bit. A `test particle' is an idealized point particle with energy and momentum
so small that its effects on spacetime curvature are negligible." A particle is said
to be in `free fall' when its motion is affected by no forces except gravity. In
general relativity, a test particle in free fall will trace out a `geodesic'. This
means that its velocity vector is parallel transported along the curve it traces
out in spacetime. A geodesic is the closest thing there is to a straight line in
curved spacetime. ...

in general relativity gravity is not really a `force', but just a manifestation
of the curvature of spacetime. ...

To state Einstein's equation in simple English, we need to consider a round ball
of test particles that are all initially at rest relative to each other. As we have
seen, this is a sensible notion only in the limit where the ball is very small. If
we start with such a ball of particles, it will, to second order in time, become
an ellipsoid as time passes. This should not be too surprising, because any
linear transformation applied to a ball gives an ellipsoid, and as the saying goes,
'everything is linear to first order'. Here we get a bit more: the relative velocity
of the particles starts out being zero, so to first order in time the ball does not
change shape at all: the change is a second-order effect.

Let V(t) be the volume of the ball after a proper time t has elapsed, as
measured by the particle at the center of the ball. Then Einstein's equation
says:

V^-1d^2V/dt^2 ~ -(1/2)(Ttt + Txx + Tyy + Tzz)

where these flows are measured at the center of the ball at time zero, using local
inertial coordinates. These flows are the diagonal components of a 4x4 matrix
T called the `stress-energy tensor'."

I add here that for random virtual quanta (zero point vacuum fluctuations) in the isotropic case, Lorentz invariance + equivalence principle demand

w = (Pressure per space dimension)/(energy density) = -1

Ttt = - Txx = - Tyy = - Tzz = - P

Therefore the RHS of (2) reduces to - P

If there are anisotropic Casimir effect boundaries this result will change.

Free virtual bosons have P < 0 causing anti-gravity repulsion dark energy

Free closed virtual fermion loops have P > 0 causing gravity attraction dark matter that mimics w = 0 CDM.

Category: MyBlog

Categories ...

't Hooft 100 Year Star Ship Abner Shimony accelerometers action-reaction principle Aephraim Sternberg Alan Turing Albert Einstein Alpha Magnetic Spectrometer American Institute of Physics Andrija Puharich Anthony Valentin Anton Zeilinger Antony Valentini anyon Apple Computer Artificial Intelligence Asher Peres Back From The Future Basil Hiley Bell's theorem Ben Affleck Ben Libet Bernard Carr Bill Clinton black body radiation Black Hole black hole firewall black hole information paradox black holes Bohm brain waves Brian Josephson Broadwell Cambridge University Carnot Heat Engine Central Intelligence Agency CIA Clive Prince closed time like curves coherent quantum state Consciousness conservation laws Cosmic Landscape Cosmological Constant cosmology CTC cyber-bullying Dancing Wu Li Masters Dark Energy Dark Matter DARPA Daryl Bem David Bohm David Deutsch David Gross David Kaiser David Neyland David Tong de Sitter horizon Dean Radin Deepak Chopra delayed choice Demetrios A. Kalamidas Demetrios Kalamidas Dennis Sciama Destiny Matrix Dick Bierman Doppler radars E8 group Einstein's curved spacetime gravity Einstein's happiest thought electromagnetism Eli Cartan EMP Nuclear Attack entanglement signals ER=EPR Eric Davis Ernst Mach ET Eternal Chaotic Inflation evaporating black holes Facebook Faster-Than-Light Signals? fictitious force firewall paradox flying saucers FQXi Frank Tipler Frank Wilczek Fred Alan Wolf Free Will G.'t Hooft Garrett Moddel Gary Zukav gauge theory general relativity Geometrodynamics Gerard 't Hooft Giancarlo Ghirardi God Goldstone theorem gravimagnetism gravity Gravity - the movie gravity gradiometers gravity tetrads Gravity Waves Gregory Corso gyroscopes hacking quantum cryptographs Hagen Kleinert Hal Puthoff Hawking radiation Heisenberg Henry Stapp Herbert Gold Higgs boson Higgs field hologram universe Horizon How the Hippies Saved Physics I.J. Good ICBMs Igor Novikov inertial forces inertial navigation Inquisition Internet Iphone Iran Isaac Newton Israel Jack Sarfatti Jacques Vallee James F. Woodward James Woodward JASON Dept of Defense Jeffrey Bub Jesse Ventura Jim Woodward John Archibald Wheeler John Baez John Cramer John S. Bell Ken Peacock Kip Thorne Kornel Lanczos La Boheme Laputa Large Hadron Collider Lenny Susskind Leonard Susskind Levi-Civita connection LHC CERN libel Louis de Broglie Lubos Motl LUX Lynn Picknett M-Theory Mach's Principle Mae Jemison Making Starships and Star Gates Martin Rees Mathematical Mind MATRIX Matter-AntiMatter Asymmetry Max Tegmark Menas Kafatos Michael Persinger Michael Towler microtubules Milky way MIT MOSSAD multiverse NASA Nick Bostrum Nick Herbert Nobel Prize nonlocality Obama organized-stalking Origin of Inertia P. A. M. Dirac P.K.Dick P.W. Anderson Paranormal parapsychology Paul Werbos Perimeter Institute Petraeus Physical Review Letters Physics Today Post-Quantum Physics pre-Big Bang precognition presponse PSI WARS Psychic Repression qualia Quantum Chromodynamics quantum computers quantum entanglement quantum field theory quantum gravity Quantum Information Theory Quantum Theory RAF Spitfires Ray Chiao Red Chinese Remote Viewing retrocausality Reviews of Modern Physics Richard Feynman Richard P. Feynman Rindler effect Robert Anton Wilson Robert Bigelow Roger Penrose rotating black holes Roy Glauber Rupert Sheldrake Russell Targ Ruth Elinor Kastner S-Matrix Sagnac effect Sam Ting Sanford Underground Research Facility Sarfatti Lectures in Physics Scientific American Second Law of Thermodynamics Seth Lloyd signal nonlocality Skinwalker Ranch social networks space drive space-time crystal SPECTRA - UFO COMPUTER spontaneous broken symmetry SRI Remote Viewing Experiments Stanford Physics Stanford Research Institute Star Gate Star Ship Star Trek Q Stargate Starship Stephen Hawking Steven Weinberg stretched membrane string theory strong force gluons Stuart Hameroff superconducting meta-material supersymmetry symmetries telepathy Templeton The Guardian Thought Police time crystal time travel topological computers Topological Computing torsion UFO Unitarity unitary S-Matrix false? Unruh effect Uri Geller VALIS virtual particle Virtual Reality Warp Drive weak force Wheeler-Feynman WIMP WMAP WMD world crystal lattice wormhole Yakir Aharonov Yuri Milner