No.

All three algebras are isomorphic.

The complex quaternions are the correct mathematics to use, as they are the correct mathematics for describing transverse plane waves in 3D space (this space we all experience existing in!).

Hi Tony,

Simple = One substance, space, exists, infinite and eternal, and has transverse plane waves propagating through it in all directions.

Complex = There are four solutions where the transverse wave oscillations cancel forming scalar spherical (ellipsoidal) standing waves, the two spin states of the electron and opposite phase positron. And with a frequency of 10^20 Hz and around 10^40 of these potentially forming in a cubic meter of space, well its gets very complicated!!

I have read a bit of Hestene's work over the past month (thanks). His geometric algebra / spacetime algebra is equivalent to complex quaternions, and yes, as I explained in the essay the complex numbers i, j, k, are used to represent three orthogonal planes.

It is interesting that he makes the comment that it is surprising that the great physicists of early 20th century never realised the geometry inherent in the Dirac equation.

What is more surprising is that no one seems to realise why. My essay explains this, because intersecting complex plane waves in 3D space can form scalar spherical standing waves, the spherical (ellipsoidal) geometry of matter, and central to Einstein's relativity.

Cheers,

Geoff

Mr. Haselhurst,

a fine essay. Very upbeat and optimistic too. I especially appreciate this quote:

"What we call empty space is in fact full of waves, but the transverse wave components do not cancel so space vibrates in an infinite variety of patterns, what we now call the quantum field."

You also write, " Basically the terms on the left represent the phase of the complex / vector plane waves of background space that are fundamental to quantum physics, the four terms on the right represent the scalar product of this which is in the four dimensional space-time structure of matter in Einstein's relativity and Schrodinger's relativistic scalar wave equation. "

But do you realize that these vector plane waves live on a 3D surface of a 4D object? General relativity describes how this surface is curved in 4D by a mass. Geometrically, mass is a normal to this hypersurface (perpendicular simultaneously to its all 3 orthogonal planes). Can you describe this geometrical relationship? i.e. how exactly mass relates to light? I mean it in practical terms that go beyond the mass-energy equivalence.

About light you write, " The velocity of light is constant simply because we are dealing with a purely theoretical model of non-accelerated reference frames (which do not exist in reality, gravity exists everywhere) and as explained below all forces / acceleration are due to wave interactions caused by changing velocity of waves."

What changes the velocity of waves?

Also, light, being the property of the medium, its speed of propagation is dictated by the medium. That's what makes it a constant, which is slightly modified by local conditions in the medium. And you claim that non-accelerated reference frames do not exist (!) I like it. I like it far more than an idea of a stationary frame (to the structure of space, as an absolute reference frame) as some here have proposed. But you're saying, neither a non-accelerated reference frame exists. -? I gotta think it over. Never-ever?

Then you say, " Einstein is close to the truth, he was correct that there are no discrete and separate particles, his error was to represent matter as continuous fields in space-time, rather than real waves in continuous space that cause both matter and time."

Cause time? And *where* do they cause matter? According to my geometrical model, the waves you describe live in 3D, on the hypersurface and "cause" matter appear on this surface in the 4th dimension. Perhaps that's how you meant it?

Otherwise, what is time and how is it caused? In my thread I show that Minkowski spacetime is all about 4 spatial dimensions, because time is simply aligned with one of the spatial dimensions, just like we do it in a graph that plots the trajectory of a cannonball. The fact that the time dimension is aligned with one of the spatial dimensions does not make that dimension any less spatial. There is no time dimension separate from 4D space in Minkowski model.

Then you say, " Further, and few people seem to know this, in general relativity the velocity of light depends on the energy density of space, which is correct."

Again, the speed of light is the property of the medium.

You say, " It is correct that matter is a wave structure and can only exist in discrete wave patterns in the atom,.."

What is an atom according to you?

You conclude, "... wave theory of matter is based on the most simple science foundation for describing physical reality and correctly deduces the laws of Nature."

Again, can you describe how exactly energy of waves relate to the curvature of the surface they propagate in? Like here you are saying:

"This slower wave velocity changes the shape of the surface of the plane waves into a curved surface, what is known as the curvature of the four dimensional space time continuum."

-? are you implying that light curves spacetime? If you can show it mathematically so that we could apply it in practice, this would cause a revolution beyond anything we have ever known. Can you?

  • [deleted]

Sergey G Fedosin is bombing entrants' boards with the same "why your rating has dropped" message. They are all dated Oct. 4... same message.

WTH? I've seen one fine essay drop 89 (eighty-nine) positions, in "Community Rating" in the past 24 hours, and "Sergey's note" came BEFORE it plummeted. Hmm.

The vote/scaling of this contest is quite nebulous.

"Hackers Rule!", I suppose!

Well??? What else is one to think? The General Public is... Watching...

  • [deleted]

Dear Geoff

"What we call empty space is in fact full of waves..."

If one want to understand nature one has to understand the fabric of space.

You have helped to get closer to understanding this mystery. Thanks.

Sincerely Karoly

  • [deleted]

Can you market this as proof potentially all religions are correct because of the fact the stories are a human construct and therefore there could be vibrational space existent formulated by the patterns of belief placed? It would be great to say physics says that, so people can act like little quaternions, and be conscious of the waves they are spreading.

I use "actually it's a physics thing, kinda" in my stories, when I explain my whole idea of waves and frequencies and patterns and paths to other people, and they then believe me. 95% more success in people accepting what I have to say, because they believe in physics. I bet you'd get a crazy large percent more people believing you, if you gave faith a nod, plus it would moot a lot of flames of hate. I'd really like physics to pump this whole idea so we could remove religion out of politics and socio-everything, and place it strictly in culture, and get along like little quaternions do, and figure stuff out like that. That, would be a real great way to solve some current global problems.

I don't know how to write that in math. I wish a physics person would do it. Nobody knows whats inside a black hole after the hole, or where the photon dissappears to? I don't know. I imagine I understand, but I may not.

  • [deleted]

I mean place, when I say quaternion. Each moment, capable of complete change in pathway, infinite. Like a potential. I see potential in this.

15 days later
  • [deleted]

Dear Geoff,

I find your essay refreshing and very interesting. I have passed it on to a retired colleague of mine, Jan Boeyens, who I'm sure will also take great delight in the fact that there are other truth seekers out there. He has written several books, too expensive to buy, but you can find them on some Russian and Chinese sites for free ( :-) I did not tell you). One you might enjoy is Chemical Cosmology. He is also just completing an invited chapter entitled Debunking the Big Bang.

Regards,

Demi

(demetrius.levendis@wits.ac.za)

    8 days later

    Thanks Demi,

    Yep, truth seekers are rare creatures!

    I look forward to reading his work on debunking the big bang. According to the wave structure of matter (WSM) space is necessarily infinite and eternal (as only one substance space exists, it cannot be bounded by or created by a second substance).

    Thanks for posting.

    Cheers,

    Geoff

    2 months later
    • [deleted]

    What kind of films?

    a month later
    • [deleted]

    I think part of Geoffreys point is that it has been an obvious solution for some time.

    3 months later
    • [deleted]

    bla bla can one of you brainy guys please come up with a way of extracting energy/heat from the sea,solving two problems at once please

    a month later
    • [deleted]

    I have been looking for clues in sacred geometry and prime numbers. The series of prime numbers hints at 8 dimensions. Time is not 1/2 a dimension. 1/2 a dimension of time is what we perceive. Time is moving in a wave like pattern through the other dimensions at very specific frequencies and at various amplitudes. The frequencies change depending on the fields or energy at that location. The amplitude becomes very important in the case of a singularity at the center of a black hole. In the singularity of the big bang the amplitude for time would become infinite. There may be clues in something called cymatic cellular automata. Jim Gates has found clues that error correcting codes are written into the fabric of space/time. Symbols of power, Adinkras

      • [deleted]

      Beyond

      I do not own my heart

      But I have no-one to blame when it wanders

      I did not chose my name

      And I'll have nothing to claim when it's gone

      Even if the whole world flinches

      Straining to relieve the pressure

      Some approximation bares a striking resemblance to dawn

      I cannot find my way

      But I have nothing to lose at this moment

      I do not think it's strange

      That I'm not required to know or respond

      Even if the whole thing hinges

      On our vision of the future

      Most would fail to find the flaws neatly nested in the chaos beyond

      We have forgotten how light pierces the darkness and is consumed

      Nor have we considered that life is a hollow vessel, filled and then poured out again

      If gravity should win

      And everything is pulled apart as it tumbles

      All the information lost

      And nothing remains when it's done

      Even if we can't preserve life

      Or find a way to save our memories

      Some illusionary moment shared the only treasure we have won

      Perhaps at the event horizon

      Time dilated, we appear to freeze

      We're smeared upon its rippling surface

      Swirling vortex of a summer breeze

      Are we neither alive nor dead but echos from another life

      Our path enfolded so we only see

      Fields and fluctuations, vibrations, discord, harmony

      • [deleted]

      It appears that humans can perceive the future at very short intervals. This is why I am thinking that time behaves like a wave.

      2 years later

      Hi Geoffrey,

      I read your article in order to 1) compare it to the Rotating Wave (soliton) which I think is the basic form of fermion (eg electron) matter and 2) to see if I could find any enlightenment on quaternions, spin and Dirac Equation relating to the Rotating Wave.

      To me wave particle duality does not necessarily mean that there is a particle there guided by a piloting wave. "Wave particle duality" refers to particle like phenomenae exhibited by a wave packet. I agree that the basic form of matter is a localized wave. I think that is what Louis de Broglie suggested in the first place. Furthermore, I think physicists have for many years considered matter as possibly a purely localized wave function, but the math of Relativistic QM best describes what is happening between the observer and the observed.

      Your assertion that no one has understood the real "solution" for Dirac's wave equation for the past 80 years is not quite correct. From de Broglie to Dirac in the 1920's attempts were made to made to represent the waves in ordinary 3d space. The pilot wave was an alternate. Back in 1979, I had discussions with physicists and they were quite aware of the possible full wave mechanics for particles. That is when I realized that as per Dirac, the rotating wave might be the solution. Dirac put relativity into wave mechanics and got spin. Conversely if one puts classical spin into a wave function, you get relativity. I think some physicists may have even considered that relativity like QM both came from spin.

      Even Dirac knew there was something profound about the spinor matrices since they involve only constants:

      "They must therefore denote some quite new dynamical variables, which may be pictured as describing some internal motion in the electron. We shall see later that they just describe the spin of the electron." - Paul A.M. Dirac

      I think I understand your "in and out" wave action and that you emphasize "metaphysics" plus Occam's Raor requires the simplest action. When I was trying to see what kind of wave mechanics could create a localized wave that exhibits relativity, I first considered waves bouncing back and forth in a shell or waves just interfering in space. However it didn't exhibit spin, so then I realized it might be just a classically rotating wave which in accordance with electromagnetism appears to exhibit relativity and quantum (wave) mechanics. As the light wave is bent around the sun, perhaps it could also be brought into a full rotation by some kind of "binding energy" and maintained.

      I can't see how an "in and out" wave would create rotation. I can only say that chances of a straight on collison of waves would be rare and thus a rotation would somehow follow. If that is what you are suggesting, then diagrams and math would help. Definitely, rotation seems predominant in the universe from micro to macro.

      Of course one wonders what is at the base of all this aether/space stratum and what more lies underneath this stratum that we are aware of.

      I understand that you say the quaternions explain the spin in QM, but I don't see how that translates into a physical description of spin within your "in and out" wave. To me the quaternions substitutes for the vector addition. Vectorially, the Rotating Wave has vectors: Cbar = Vvbar Vrbar in special relativity. Vectors have "bar" after them. Squaring you get: C2 = Vv2 Vr2. Vrbar is the rotational vector and reflects the time cycle of the rotating wave. The fact that one can get and energy from the same vector addition by simply multiplying by mass (mC2 = mVv2 mVr2; mCbar = mVvbar mVrbar), implies that these vectors are indeed at right angles to each other and thus Vrbar is indeed about rotation.

      I think the binding energy that keeps the rotating wave in rotation is likely the source of dark energy. The rotation of one wave will affect another and hence gravity, expansion, and general slowing of time. In a free falling universally accelerating reference frame, the relativistic equation of a Rotating Wave then becomes: Cbar = Vvbar Vrbar Vtbar where Vtbar is a radial velocity (outward or inward). The light line where C is constant spirals outward (time slows down) or inward (time speeds up). At the macro level this stug of war with interacting waves generally gives up binding energy. Astrophysicists might well have considered that already.

      I gotta get and learn Latex,

      Bill Christie

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