New Quaternion Math Leads to New Reasons Why Physics Work

This is the talk I will present to the 8th International Conference on Clifford Algebras in Campinas, Brazil. The new two limit quaternion derivative definition has a real directional derivative for classical physics, and the norm of a derivative for quantum mechanics.

Category:

Science & Technology

Tags:

• Clifford
• Algebra
• Quaternions
• Derivative
• Standard
• Model
• Quantum
• Mechanics
• GEM
• Unified
• Field
• Theory

[QuaternionEM]

Doug,

I always believed that the quaternion was appropriate for modelling

spacetime , but I felt the imaginary 3-vector should represent space, and the real part time. What you may have here is watershed event that makes the quaternion palatable for all calculations.

However the space-like interpretation relates to the very small

instead of the very large as one might expect..?

This means events in the quantum realm can only be linked to the classical realm by traveling faster than light???

[sweetser]

@QuaternionEM Quaternions can do much, but I got stuck trying to reach out to gravity. That required hypercomplex multiplication, which is like quaternions except there are no minus signs anywhere.

Travelling faster than light is NEVER allowed. One can do math with spacelike events without travelling faster than light. Straight old calculus doesn't work, but you can take the norms of derivatives - the average amount of change - that can be known.

[StillOnMars]

Why bother with all this? All you need in life is Jesus!

[sweetser]

@StillOnMars Praise be Martian, speak the truth! I should spend more time reading the good book and sniffing glue, but neither is part of the scientific method.

[avrilinblood]

My question to you is:

Can quaternion math explain quantum mechanic predictions? I have a very serious issue going for the present day approach of QM - "it works because it works" - QM predictions have been verified experimentally but with hardly any logical insight of WHY and HOW. I think the incompatibility of QM with classical physics is due to the wrong direction physics has been taking the last century, and that there should indeed be a simple, logical unity between classical and quantum

[sweetser]

@avrilinblood My hope is doing calculus correctly in spacetime may explain why classical physics - ordered in time - is different from quantum physics - cannot be order in time. My dream is to have animations the correspond to every equation in physics, whether it be classical or quantum mechanics. Our minds would be happier if the visual processor could be fed QM animations.

[sweetser]

@david0aloha Best of luck in your transfer. The only way I figured out this stuff was practice, practice, practice. Feel free to email me outside of YouTube (sweetser@alum.mit.edu) with any questions.

I am doing the post production work on comparing my proposal for gravity with the linear perturbation of general relativity. Turns out that exactly half the terms flip signs, nice.

[tjakal]

Stumbled across this wanting to know more about quaternions from a background of artistic computer animation. *Mind = blown* The specs on my brain do not allow for this. Must be real interesting solving natures deep mysteries, truly admirable work.

[avrilinblood]

Thank you so much for this video. I am still to dumb to get it all, but unlike most theoretical science this kind of complexity doesn't provoke subconscious unease, I have a very strong intuition even when it comes to areas I fail to understand. I have stumbled onto quaternions trying to figure out where did science went wrong, seems like Maxwell's Aetheric universe and quaternions equations were the last true path before his equations got vectorized, simplified and so on...

[allseevid]

Campinas is the Brazilian capital of queers

[Kcmasterpiece347]

@MegaAstrodude YUP