[deleted]
Thank you for your reply. I do appreciate that you must be very busy reading all of the posts on your thread.
I should explain a misunderstanding of the Prime Quaternion model.
Dr. E said "Are these truly three different dimensions? Or are they simply the same dimension, but related via linear, non-linear, or quantum relations? Personally, IF there was another time dimension, I would expect it to involve complex numbers (imaginary time). Also, a true Quaternion is four dimensional, and is not large enough to contain extra time dimensions - if you have manipulated equations to say something different, then those equations defy common sense."
I am not saying that there is another time dimension. I am saying that there are 3 vector spatio-energetic dimensions and one scalar spatio-energetic dimension.That is all.This is the quaternion space.Motion along the 4th spatio-energetic dimension gives subjective time, as a continuous motion observed in 3D vector space is related to an assumed continuous change in time.
There are 3 different mental constructs and abstract mathematical time, all recognised as ways that time is interpreted but not actually existing in objective reality. These are not part of the objective reality of quaternion space but the way it is interpreted to form subjective reality. For example Historical time which is past, present and future spread along a time line. These are all imaginary concepts formed by the mind to deal with sequential spatial change. The grandfather paradox and other time travel paradoxes occur because historical time is not objective physical reality.Subjective time is another assumption already explained above. Positional time imagines the 4th dimension as a time dimension along which matter progresses.This works as an approximation for motion of macroscopic objects but not sub atomic particles which move differently.
Afore and aft along the 4th dimension is more 3 dimensional space (not time). This is because it is not a time dimension but another spatio-energetic dimension. This "other space" on either side of visible 3D space does not form a part of that visible 3D space until the matter of the universe passes through it. Here are the extra degrees of freedom available to sub atomic particles.
A sub atomic particle oscillates into afore space and back to visible space. From our 3D perspective the afore space exists within the particle.If 3D space is flattened so that the 4th dimension can be visualised, the particle is leaving the plane of visible 3D space and entering space outside of that 3D space and then returning.Materialising and de-materializing in visible 3D space.
I think that this alternative model also is able to explain many fundamental questions but has some very significant differences from your own. The objections I have read to it so far on this web site seem to be based on misunderstanding of the model (perhaps due to my inadequate explanation) rather than to inadequacy the model itself.
We both see the 4th dimension and its understanding as a crucial element. We both involve motion with that dimension.You suggesting that the dimension itself is expanding carrying matter and light with it and I am suggesting that matter and light are passing along the static dimension.I think that we are both correct in identifying that lack of adequate comprehension of that dimension is the cause of current misunderstandings in physics. Also in identifying that motion of all matter and light is intimately involved with that dimension. I think it is significant that we have independently come to these conclusions.Obviously whether the universe is expanding or contracting are big differences of opinion that will not be easily changed since they are integral to our own models. Therefore I do not see these as rival models but belong to very different theoretical scenarios explaining the universe.The similarity between them, pointed out previously, is however interesting and I think significant.