H and EΨ

Quantum theory and mortals.

 

Ian E. Consterdine[1]

 &

 Ian G. Cook

Holwick

UK

 

August 2005

 

 

H, the Hamiltonian is the total energy in thermodynamic system, S, and could be a gravitino[2], photon, Richard Feynman, the observable universe (OU) or the universe, for example.

 

E is the current state (material, luminous, dark, spiritual, shiny or whatever) of that energy. E is an observed quantity or real property of the local spacetime: it is modelled accurately by Minkowski (1864-1909) in 3 dimensions of space plus 1 of ever increasing time: more than one time dimension remains unobserved in reality although imaginary time[3] is probably as real as anything else.

 

Ψ is the state vector or signpost to the future and twisted[4] configuration.

 

These three combine in Schrödinger’s equation, H = E Ψ, that is but a part of supersymmetric unitary group theory, SU(N), where N, the number of dimensions, → ∞. There is nothing = 0 = e^iπ + 1 (Fourier, 1768-1830) other than the universe of SU(N) yet there is more to it than light helps mortals sense (nothing new here, then). The current view[5] at Cambridge and Oxford Universities, UK, from the shoulders of many giants[6] suggests the framework of reality is 4x space plus 1x time dimensions within which material, radiation and dark energy co-exist.

 

The Great Telescopes (COBE, WMAP &c) are at limits through which they will probably not see. The limits are those of the OU since its clock began to tick. Anything beyond the OU is theoretical and sometimes quite speculative - Lee Smolin versus Leonard Susskind, et al. However, other telescopes have shown anomalous behaviour at large scales within the OU to demonstrate that cold dark matter and accelerated universal expansion (‘dark energy’) are separate issues.

 

On the other hand, the Grid around planet Earth is real, finite and positive definite in U(3) and it behaves chaotically (Edward Lorenz, 1960s) - just like ourselves, sometimes. This state may continue ‘til t is up (Stephen Hawking, again) and/or the next cyclic bounce (Paul J. Steinhardt & Neil Turok, 2004) some 10¹²³ years on.

 

With regard to the ongoing global ‘energy crisis’, analysis shows intermittent micro-hydroelectric power for community use is correct. If the techniques of object-orientation are applied to the design, development and implementation of renewable-resource energy schemes (solar, geothermal, wind-, water- and tidal flow) there is no doubt our species’ (and certainly UK dwellers’) domestic energy requirements can be fulfilled without further spoiling the nest with fossil waste. Coal, oil, nuclear, gas and other resources are too valued to (have these fossil generators of the electric) burn them to toxic gas in internal combustion chambers.

 

ian e consterdine, f.r.met.s.

ian g cook, m.inst.chem&eng.

 

Examples of reality, finity/finitude and ‘positive definite’ (yes, we are sure) exist in “The Road to Reality”, Roger Penrose, 2004, Oxford, UK and elsewhere on the grid.

 

See also, “CHAOS”, James Gleick, Viking Press, New York City, USA, 1987.

 

Nothing without: i, 2, 3, π, a, AA, The AA, Buzz Aldrin, Lance Armstrong, Louis Armstrong, Neil Armstrong, Aristotle, Johanne S. Bach, bbc.co.uk, Alan Bell, John Trevor Bell, Neils Bhor, Alan Blyth, John Bonsal, Ray Bottley, Peter X. Brewer, Jacob Bronowski, Steve Buscemi, Karen Byrom, Alan Calverd, Ted Cambridge, Can, Carlton, Angela Carter, cats, Tom Choularton, Peter Chỳlek, Neil Cleminson, Ian S. Connell, Neville & Connie Consterdine, Richard Dawkins, Durham County Health Authority, P. A. M. Dirac, Joy Division, Tymon Dogg, Albert Einstein, M.C. Escher, Hillary J. Exton, Homer, Michael Faraday, Jasper Fford, Ian Foster, J. B. J. Fourier, Martin W. Gallagher, George Gamow, Gardening, Barry A. Gardiner, Michael J. Gay, Kurt Gödel, Samantha Dianne Hallimond, Andie M. Harris, Janet Harris, Stephen Hawking, Martin K. Hill, Melodee L. Hill, Douglas Hofstadter, David Howard, Anthony J. Illingworth, Gerard S. Jennings, Kerfuffle, Margaret Kilvington, Pete Kinsey, John Latham, Patty Lou, Morgan Lynch & son, John Mason, J. C. Maxwell, Colin S. Mill, Tamla Mo’town, Isaac Newton, Colin O’Dowd, Nathan Paldor, Pauline M. Park, John Peel, Roger Penrose, Margaret Pentland, The Sex Pistols, Max. Planck, Plato, Philip Pullman, Pythagorus, qat, questions, The Quarterly Journal of the Royal Meteorological Society, Jason Quiggley, Keith & Hazel Robertshaw, Andrew & Julie Robinson, Joe Robson, David Rooney, A. C. Rose-Innes, Erwin Schrödinger, Alan Sheppard, Homer J. Simpson, Mark E. Smith, Michael H. Smith, Paul J. Steinhardt, Graham Stevens, Lucy Strevens, Bernard Sumner, Stoke-Mandeville ICU et al, Ian M. Stromberg, Jock Tamson’s Bairn, Peter K. Taylor, Keith Townsend, Neil Turok, Pere Ubu, Tom Verlaine, Tom Waites, Johnnie Walker, Weather, David & Diane Wesson, wikipedia, Robin Williams (x2), Winnie-the-proot, xebec, X-Ray Specs., Margaret Yelland, Neil Young, Frank Zappa, Robert Zimmerman, ZZ-top and other pragmatic als.

 

Onwards, upwards, orbit an Ouroboros.

 

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