Ξ* Hypotethis (𐤎* Hypotethis)

Sypnosis :

The seed / root of this hypothesis lies with an attempt to providing a possible explanation to the Quantum Entanglement phenomenon (or in Einstein's words : Spooky Actions at a Distance), whilst at the same time not violating the Rules of Causality.

𐤎* Hypotethis  ( Ξ* Hypotethis )   (Take 1 / Revision 1.0)

𐤎* Hypotethis Postulate I:

Einstein's Laws of Relativity, Lorentz  Transformations, Maxwels Equations, Neutonian Mechanics etc. etc. all applies to the Realms & Phenomenons of the / confined to the / bounded by / to the Four Dimensional Space Time [xyz-t]. 

Thus the statement that nothing can move faster than the speed of light c, is a valid statement, for all phenomenon inside the confines of the Four Dimensional Space Time [xyz-t].

𐤎* Hypotethis Postulate II:,

There could be phenomenon in nature that falls beyond the confines / not bounded by the Four Dimensional Space Time [xyz-t]. 

For example certain phenomenon that occurs / takes place at higher dimensions, may not need to adhere / be confined by / be bounded to all or some laws of the Four Dimensional Space Time [xyz-t].

Thus if one assumes, that the building blocks that forms the Basic Particles of the Standard Model are [S~]. 

(What constitutes / is denoted by [S~] does not matter / is not important for this discussion. All we will need to care for the purpose of the discussion of this Postulate is that... )

The macro / meta objects formed by the combination of  [S~], when interacting via the physics of Four Dimensional Space Time [xyz-t], whould have to obey/ follow the constraints / confines of the physics of the Four Dimensional Space Time [xyz-t] realm. 

Thus no macro/ meta object will be able to move faster than the speed of light, for such whould have to occur through / via the confines of [xyz-t].

BUT

If say when [S~] decays into the Quantum Vacuum and Regenerates from the Quantum Vacuum (probably millions or ... of times each second), if such occurs at / via higher dimensions than [xyz-t], then such phenomenon does not nessearily have to be confined / bounded by the "physics, statics and dynamics" of the [xyz-t] realms.

Then / next the question arrises as to whether phenomenon the likes of near instantaneous communication between entangled particles, occurs via [xyz-t] or via higher dimensions? 

(This article / author, is a proponent / in favor of the results of the Bell Inequality Tests, which points to invalidate "the local variable" notions and opens the possibility to faster than light phenomenon, as a viable  solutions / path worth investigating...)

Thus 𐤎* Hypotethises, that "Spooky Action At a Distance" of entangled particles occurs via some phenomenon / interaction via higher dimensions than the [xyz-t].

And thus probably certain phenomenon, observed / described under Quantum Mechanics as well  may / might occur via the involvement of higher dimensions than the [xyz-t].

Thus for example, certain laboratory experimental results confirming /  pointing out that certain Quantum Tunneling particles to be travelling  faster than light (through the barrier), whould be attributed in 𐤎*, to phenomenon beyond the confines of [xyz-t] ... aka to Phenomenons of higher dimensions.

Next...

Let's take another look at the Lorentz Factor, which we constantly come across in the special theory of relativity...

γ = 1 /  (1 - v2/c2) 1/2

Now immediately one observes that for the Lorentz Factor to have Real  values (ℝ) : 

(1 - v2/c2) > 0

Thus implying:

1 > v2 / c2

Thus v < c

Thus confirming the fact Special Theory reiterates : viz that no object / entity in the real world can have a velocity v, greater than that of light c.

But then what about, if we decide to dwell into the Complex plane. Now observe that in the Complex number domain / Complex Realm, we are entering into a realm of a higher dimension (for if Real numbers are represented by the x axis / dimension, then the i axis whould be the equivalence of introduction of / entering into an additional dimension).

Thus if we introduce Ξ* = √ -1, the Lorentz Factor becomes :

γ = 1 /  (1 + (Ξ*.v)2/c2) 1/2

Thus now observe that in the Complex dimension (Higher Dimension), we no longer have any constrains on the maximum value of v (because now the negative sign is not there any more, thus...)

Thus what could this imply...? 🤔

In Higher Dimensions... there is no upper limit for velocity v ?

(Note : In above, we have made yet another assumption / hypothesis that, Lorentz Factor holds true in Higher Dimensions as well...)

Theoretically (at least) you can now even go back in time, if the above is true... 😁 Well when one reflects on it, it does actually makes sense... Assume one has the capacity to enter into a Higher Dimension / Realm. Now in this Higher Dimensional realm, you are no longer constrained by the speed of light. You then "swish by" at v = Gwadzillion m/s. Then after going far enough, you exit from the Higher Dimension back into the Real domain, and "take a look back". Thus for example if you had had travelled 70 million light years -via / through the Higher Dimension- then when you take a look back, you will be coming across photons, that had had originated 70 million years ago... Thus if you had a "Telescope with a sufficient resolution", you will be able to see what happened 70 million years ago, at the location you just left... 

Thus, though you will not be able to physically go back in time and stop your great great great... grandfather from... and thus causing / unleashing  paradoxical conumdrums of domino effect chain reactions & ruptures in the fabrics of spacetime...  You will  nevertheless be able to see how he looked like, and what dinosaur species he kept as pets... (And no, you will also not be able to stop that meteor collision either... but you could have a front row seat if you so wished to... 😣)

Question: When you swish through a Higher Dimension at faster than the speed of c, will your biological age / clock start to go back in time? Aka when you come out of the Higher Dimension, back into the Real Dimension, will you have had reversed your age?

Answer: No, that will not happen.  Otherwise if you happened to travel a bit too long in a Higher Dimension (before coming back to the Real Dimension) imagine your horror, when you find yourself being just a strand of DNA floating in the Vacuum of Space... or Blob of Energy in a... 

Thus when / if you 100% enter into a Higher Dimension (100% Complex Axis) the concept / notion of Time whould most likely get undefinable / not applicable. The clock will only start to tick again, only when you come back into the Real Domain / Dimension. Aka you re-enter the [xyz-t] Domain.

But then what if, you enter a realm where there is a component of ℝeal + component of ℂomplex ... What whould happen to Time in such realms. 

𐤎* Hypotethis Postulate III:

𐤎* Hypotethises, that in "Hybrid / Transcitory" Realms, having both ℝeal + ℂomplex components, the passage of Time will be a function / depend on the magnitude of the ℝeal component (the % of the R ( ℝ ) in R + Ξ*). Thus in a realm with 0% ℝ &  100% Ξ*, Time should not pass / Time should be undefined.

Thus when certain Quantum Particles, undergoes Quantum Tunneling, at faster than the speed of light, and if such happens via Ξ* (or involvement of Ξ* components / factors), then such faster than light travel should not / whould not violate the rules of Causality (whould not cause / need time to go into reverse).

Here is another conundrum (to keep you awake at night...) How about / what whould happen, if you go back so much in time, when you come back into this Realm, the Universe is in the process of the Big-Bang! Will you hear the Bang of the... What happened...?!

Question: Then what about all those notions of the Twin Paradoxes etc one comes across when studying Special Relativity?

Answer: Let me answer that with another counter question. In those cases / examples, did they travel via Higher Dimensions or via [xyz-t] Dimensions? 

And also in the case of the Twin Paradoxes, they never reverse time, only slow down time (for the individual at motion, relative to the twin at rest). For in [xyz-t] Realm no entity can travel faster than c.

Thus one observes, that Special Relativity implies, that time should not pass / time should not tick, for a photon that is travelling at the speed of c.

Thus for a photon...

Δt' = γ . Δt

γ = 1 /  (1 - v2/c2) 1/2

γ = 1 /  (1 - c2/c2) 1/2

γ = 1 / 0

Thus : Δt'     = γ . Δt  
            Δt'     = 1/0 . Δt  
            Δt'. 0 = Δt . 1   -OR-  Δt'  = Δt . ∞

(Note: This same slowing down of time applies / is observed, to clocks in sattelites, that are moving at relatively high speeds. This is why GPS systems have to account for this slowing down of time, when making their calculations).

Here is something else to keep you busy / entertained... 

A: In the above, we hypothesised that most probably in the domain of Ξ* time would not pass.

B: Then via equations of Special Relativity we proved / deducted, that time does not pass in / to a photon.

Now the question : If so... Combining A and B above, is a photon (that is traveling at the speed of c) an entity of R ( ℝ ) or an entity of Ξ* ?

Then what about a photon, traveling at a relative speed of less than c (ex: in the confines of a gravitational field / in the presence of gravitons) ?

Have a Good Day... 🙂

Ly De Sandaru



Sketchpad.... 

ℝ

Α α, Β β, Γ γ, Δ δ, Ε ε, Ζ ζ, Η η, Θ θ, Ι ι, Κ κ, Λ λ, Μ μ, Ν ν, Ξ ξ, Ο ο, Π π, Ρ ρ, Σ σ/ς, Τ τ, Υ υ, Φ φ, Χ χ, Ψ ψ, Ω ω.

Δt' = γ . Δt

γ = 1 /  (1 - v2/c2) 1/2

γ = 1 /  (1 + (Ξ*.v)2/c2) 1/2

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