You are here:
Home Jack Sarfatti's Blog E8 Gravity and the other "forces"

"One can construct the (compact form of the) E8 group as the automorphism group of the corresponding e8 Lie algebra. This algebra has a 120-dimensional subalgebra so(16) generated by Jij as well as 128 new generators Qa that transform as a Weyl–Majorana spinor of spin(16). These statements determine the commutators

as well as

while the remaining commutator (not anticommutator!) is defined as

It is then possible to check that the Jacobi identity is satisfied.

Geometry[edit source | editbeta]

The compact real form of E8 is the isometry group of the 128-dimensional exceptional compact Riemannian symmetric space EVIII (in Cartan's classification). It is known informally as the "octooctonionic projective plane" because it can be built using an algebra that is the tensor product of the octonions with themselves, and is also known as aRosenfeld projective plane, though it does not obey the usual axioms of a projective plane. This can be seen systematically using a construction known as the magic square, due to Hans Freudenthal and Jacques Tits (Landsberg & Manivel 2001).

Applications[edit source | editbeta]

The E8 Lie group has applications in theoretical physics, in particular in string theory and supergravity. E8×E8 is the gauge group of one of the two types of heterotic stringand is one of two anomaly-free gauge groups that can be coupled to the N = 1 supergravity in 10 dimensions. E8 is the U-duality group of supergravity on an eight-torus (in its split form).

One way to incorporate the standard model of particle physics into heterotic string theory is the symmetry breaking of E8 to its maximal subalgebra SU(3)×E6.

In 1982, Michael Freedman used the E8 lattice to construct an example of a topological 4-manifold, the E8 manifold, which has no smooth structure.

Antony Garrett Lisi's incomplete theory "An Exceptionally Simple Theory of Everything" attempts to describe all known fundamental interactions in physics as part of the E8Lie algebra.[6][7]

R. Coldea, D. A. Tennant, and E. M. Wheeler et al. (2010) reported that in an experiment with a cobalt-niobium crystal, under certain physical conditions the electron spins in it exhibited two of the 8 peaks related to E8 predicted by Zamolodchikov (1989) .[8] [9]

http://en.wikipedia.org/wiki/E8_(mathematics)

ask Saul-Paul Sirag & Tony Smith

The EM U1, weak SU2 & strong SU3 are LOCALLY gauged internal symmetry groups in the fiber space whose base is 4D space-time.

In contrast T4 is a symmetry group for the base 4D space-time.

In order to get a consistent gravity gauge theory we need to localize the Poincare symmetry group of Einstein's 1905 SR and this gives both curvature and torsion as independent dynamical fields. Einstein's 1915 plain vanilla GR ad hoc constrains the torsion to be zero.

Hagen Kleinert showed that torsion is a dislocation defect field in a world crystal lattice.

Curvature is the disinclination defect field.

Hammond et-al say that quantum spin generates dynamical torsion.

There is controversy over propagating torsion waves (e.g. Gennady Shipov in Moscow) as well as coupling of torsion with orbital angular momentum of matter fields as well as their quantum spin.

On Sep 18, 2013, at 6:21 PM, David Mathes <This email address is being protected from spambots. You need JavaScript enabled to view it.
//<!--
document.getElementById('cloak12754').innerHTML = '';
var prefix = 'ma' + 'il' + 'to';
var path = 'hr' + 'ef' + '=';
var addy12754 = 'davidmathes8' + '@';
addy12754 = addy12754 + 'yahoo' + '.' + 'com';
document.getElementById('cloak12754').innerHTML += '<a ' + path + '\'' + prefix + ':' + addy12754 + '\'>' + addy12754+'<\/a>';
//-->
> wrote:

T4 == U(1) X SU(2) X SU(3) for flat space...?

Extended with Higgs plus, one might even simplify it to

T4 = E8?

D

From: JACK SARFATTI <This email address is being protected from spambots. You need JavaScript enabled to view it.
//<!--
document.getElementById('cloak73527').innerHTML = '';
var prefix = 'ma' + 'il' + 'to';
var path = 'hr' + 'ef' + '=';
var addy73527 = 'jacksarfatti' + '@';
addy73527 = addy73527 + 'icloud' + '.' + 'com';
document.getElementById('cloak73527').innerHTML += '<a ' + path + '\'' + prefix + ':' + addy73527 + '\'>' + addy73527+'<\/a>';
//-->
>

To: art wagner <This email address is being protected from spambots. You need JavaScript enabled to view it.
//<!--
document.getElementById('cloak32247').innerHTML = '';
var prefix = 'ma' + 'il' + 'to';
var path = 'hr' + 'ef' + '=';
var addy32247 = 'wagnerart' + '@';
addy32247 = addy32247 + 'hotmail' + '.' + 'com';
document.getElementById('cloak32247').innerHTML += '<a ' + path + '\'' + prefix + ':' + addy32247 + '\'>' + addy32247+'<\/a>';
//-->
>

Sent: Wednesday, September 18, 2013 6:12 PM

Subject: Re: Chromogravity & An Important Experiment

"Gravitational field is the manifestation of space-time translational (T4) gauge symmetry, which enables gravitational interaction to be unified with the strong and the electroweak interactions. Such a total-unified model is based on a gen- eralized Yang-Mills framework in flat space-time."

I have said this for many years now.

On Sep 18, 2013, at 6:00 PM, art wagner <This email address is being protected from spambots. You need JavaScript enabled to view it.
//<!--
document.getElementById('cloak41494').innerHTML = '';
var prefix = 'ma' + 'il' + 'to';
var path = 'hr' + 'ef' + '=';
var addy41494 = 'wagnerart' + '@';
addy41494 = addy41494 + 'hotmail' + '.' + 'com';
document.getElementById('cloak41494').innerHTML += '<a ' + path + '\'' + prefix + ':' + addy41494 + '\'>' + addy41494+'<\/a>';
//-->
> wrote:

http://arxiv.org/pdf/1309.4445.pdf

as well as

while the remaining commutator (not anticommutator!) is defined as

It is then possible to check that the Jacobi identity is satisfied.

Geometry[edit source | editbeta]

The compact real form of E8 is the isometry group of the 128-dimensional exceptional compact Riemannian symmetric space EVIII (in Cartan's classification). It is known informally as the "octooctonionic projective plane" because it can be built using an algebra that is the tensor product of the octonions with themselves, and is also known as aRosenfeld projective plane, though it does not obey the usual axioms of a projective plane. This can be seen systematically using a construction known as the magic square, due to Hans Freudenthal and Jacques Tits (Landsberg & Manivel 2001).

Applications[edit source | editbeta]

The E8 Lie group has applications in theoretical physics, in particular in string theory and supergravity. E8×E8 is the gauge group of one of the two types of heterotic stringand is one of two anomaly-free gauge groups that can be coupled to the N = 1 supergravity in 10 dimensions. E8 is the U-duality group of supergravity on an eight-torus (in its split form).

One way to incorporate the standard model of particle physics into heterotic string theory is the symmetry breaking of E8 to its maximal subalgebra SU(3)×E6.

In 1982, Michael Freedman used the E8 lattice to construct an example of a topological 4-manifold, the E8 manifold, which has no smooth structure.

Antony Garrett Lisi's incomplete theory "An Exceptionally Simple Theory of Everything" attempts to describe all known fundamental interactions in physics as part of the E8Lie algebra.[6][7]

R. Coldea, D. A. Tennant, and E. M. Wheeler et al. (2010) reported that in an experiment with a cobalt-niobium crystal, under certain physical conditions the electron spins in it exhibited two of the 8 peaks related to E8 predicted by Zamolodchikov (1989) .[8] [9]

http://en.wikipedia.org/wiki/E8_(mathematics)

ask Saul-Paul Sirag & Tony Smith

The EM U1, weak SU2 & strong SU3 are LOCALLY gauged internal symmetry groups in the fiber space whose base is 4D space-time.

In contrast T4 is a symmetry group for the base 4D space-time.

In order to get a consistent gravity gauge theory we need to localize the Poincare symmetry group of Einstein's 1905 SR and this gives both curvature and torsion as independent dynamical fields. Einstein's 1915 plain vanilla GR ad hoc constrains the torsion to be zero.

Hagen Kleinert showed that torsion is a dislocation defect field in a world crystal lattice.

Curvature is the disinclination defect field.

Hammond et-al say that quantum spin generates dynamical torsion.

There is controversy over propagating torsion waves (e.g. Gennady Shipov in Moscow) as well as coupling of torsion with orbital angular momentum of matter fields as well as their quantum spin.

On Sep 18, 2013, at 6:21 PM, David Mathes <This email address is being protected from spambots. You need JavaScript enabled to view it.

T4 == U(1) X SU(2) X SU(3) for flat space...?

Extended with Higgs plus, one might even simplify it to

T4 = E8?

D

From: JACK SARFATTI <This email address is being protected from spambots. You need JavaScript enabled to view it.

To: art wagner <This email address is being protected from spambots. You need JavaScript enabled to view it.

Sent: Wednesday, September 18, 2013 6:12 PM

Subject: Re: Chromogravity & An Important Experiment

"Gravitational field is the manifestation of space-time translational (T4) gauge symmetry, which enables gravitational interaction to be unified with the strong and the electroweak interactions. Such a total-unified model is based on a gen- eralized Yang-Mills framework in flat space-time."

I have said this for many years now.

On Sep 18, 2013, at 6:00 PM, art wagner <This email address is being protected from spambots. You need JavaScript enabled to view it.

http://arxiv.org/pdf/1309.4445.pdf

E8 (mathematics) - Wikipedia, the free encyclopedia

en.wikipedia.org

In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding root lattic

Category: MyBlog

Written by Jack Sarfatti

Published on Wednesday, 18 September 2013 19:32

'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

- November 2015(1)
- January 2015(1)
- December 2014(1)
- August 2014(2)
- July 2014(2)
- June 2014(2)
- May 2014(1)
- April 2014(6)
- March 2014(6)
- February 2014(1)
- January 2014(3)
- December 2013(5)
- November 2013(8)
- October 2013(13)
- September 2013(8)
- August 2013(12)
- July 2013(3)
- June 2013(32)
- May 2013(3)
- April 2013(6)
- March 2013(6)
- February 2013(15)
- January 2013(5)
- December 2012(15)
- November 2012(15)
- October 2012(18)
- September 2012(12)
- August 2012(15)
- July 2012(30)
- June 2012(13)
- May 2012(18)
- April 2012(12)
- March 2012(28)
- February 2012(15)
- January 2012(25)
- December 2011(29)
- November 2011(30)
- October 2011(39)
- September 2011(22)
- August 2011(41)
- July 2011(42)
- June 2011(24)
- May 2011(13)
- April 2011(13)
- March 2011(15)
- February 2011(17)
- January 2011(31)
- December 2010(19)
- November 2010(22)
- October 2010(31)
- September 2010(41)
- August 2010(30)
- July 2010(27)
- June 2010(12)
- May 2010(20)
- April 2010(19)
- March 2010(27)
- February 2010(34)