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This examination is neither mystical or mathematical – even though it feels that way at times. It is an empirical exploration that began with a simple question, What is Truth? The observation that being near to an event increases our certainty of its veracity begs the question, How close can we get to events in space and time? It turns out there is a physical and mathematical limit physicists call the classical limit beyond which classical mechanics gives way to quantum mechanics. Quantum theory suggests that many or all possible events (or truths) exist and that act of observation resolves it into a single truth. In this series we take the road less traveled and postulate that the single truth does exist beyond the classical limit. So if it does, how does it exist there and how does it get here? In other words – What is Truth’s Trek? We answered both questions as follows:
Truth transitions from dimensionless information to the physical, temporal arrangement we call space-time. This transition takes place along a dimension not described in classical physics. When we observe matter at Planck constant scales, the properties of location and momentum become uncertain because we are viewing the edge of this transition – where Truth bends into our space-time Reality.
I arrived at this idea using raw logic - sans math and religion. But it turns out that there is a theory that aligns with these ideas. I found out about this theory while I was researching what I felt would be a perfect home for pure truth – the boundary of a black hole. I felt the boundary between the outside and the inside of a black hole would make a perfect home for dimensionless, timeless truth. Well it turns out that the Holographic Principle describes a similar concept. It postulates that our three-dimensional universe exists on a two-dimensional information structure ‘painted’ on the cosmological horizon. Combine this with my hypothesis that our entire universe exists inside of a black hole and we arrive this final thought:
There is one truth. It exists in pure form as dimensionless, timeless information at the boundary of the black hole within which our universe resides. This pure version of events is projected onto our space-time fabric via a dimensionless, timeless path not described by classical mechanics. And when we look close enough at our space-time fabric things get blurry because we are viewing the knee of this transition – where Truth bends into Reality.
Fortunately for you – you get to exit this ride. I am not so fortunate. While my jury duty has ended (hence forcing me to go back to my day job) my mind will not stop wrestling with these ideas. It turns out that his result provides a possible solution to other perplexing concepts. As fodder for future posts – here is some of what this theory has left for me to work out:
- A new interpretation of time that firmly points its arrow in the forward direction.
- Why the derivative of the Transfer Function = c (the speed of light).
- A broader definition for energy that possibly accounts for cosmological inflation.
- How irrational numbers are mathematical interpretations of forms that only exist at the black hole boundary.
If everything we experience exists in a dimensionless, timeless state inside the skin of a black hole – then some of these philosophical questions can also be addressed:
- Is there one ultimate truth?
- Is our fate predetermined?
- Where are we and why are we here?
I operate under the belief that our brain provides us with the machinery needed to figure these things out. These blogs are my attempt to do just that. Hopefully this wasn’t a waste of time for those reading it. To be continued…
As pointed out in the previous post, the true shape of things can be revealed when we tilt and view them from a different perspective. Our challenge is tilting Truth in a dimension not expressed in Einstein’s space-time fabric. The payoff however is that we would be able to view truth’s path (the Truth Function).
Of course – I don’t know the equation for the actual Truth Function. However, I do like the properties of the curved line we used in the Riddle of the Ray because it seems to mimic the two forms of truth. So lets assume the truth function is a curved line, asymptotically approaching the two forms: form-x and form-y.
As with the stacked coins in the image shown above, the section of the coin parallel to us has dimension. We can even read the inscribed words. The section of the coin perpendicular to us is dimensionless, however we know this is just a trick of perspective. The coin leaning up against the stack reveals its true shape – a circle – another kind of curve.
It is this perpendicular section of the curve – where dimension transitions to uncertainty – that is interesting. It is reminiscent of what happens at the classical limit. Whereas we can discern the order of the inscribed letters on the coin’s edge in the parallel section – those same letters on the perpendicular section appear to occupy the same space. Just as with the electron cloud, the position of the letters as measured on the edge of the coin are indeterminate. If we make very precise measurements, we may be able to calculate probabilities for the positions of the inscribed letters based on minute clues – however at the very edge – the letters all occupy the same space. They appear to be in multiple places at the same time.
So one possible solution to Truth’s Trek is:
Truth transitions from dimensionless information to a physical/temporal arrangement. This transition takes place along a dimension not described in classical physics. When we observe matter at Planck constant scales, the properties of location and momentum become uncertain because we are viewing the edge of this transition – where Truth bends into our space-time Reality.
So if this hypothesis is correct we have to find a home for dimensionless, timeless truth. Well it turns out I know of a good candidate. To be continued…
In the previous post I defined two possible forms of Truth. The first form (form-x) is how Truth exists at the beginning of its trek – imperceptible, timeless, dimensionless – and the second form (form-y) is how it exists at the end of its trek – where we interact with it and where it behaves according to the classical laws of physics.
Notice these two forms in the picture of the train. The part of the train headed directly towards us (right side) is nearly dimensionless in length (form-x). Contrast this with the back of the train traveling perpendicular to us (form-y). Are the train’s cars changing length? Well, if (as with the Riddle of the Ray) we view the train from a different perspective, aerially, the answer is revealed. This new perspective not only allows us to view the true shape of the train, it also allows us to view its path. This should be the case for Truth’s path – which I will call the Truth Function. Below I have listed these three concepts:
Truth (form-x): dimensionless, timeless information.
Truth Function: transition (not in space-time)
Truth (form-y): three-dimensional
In the next post we will take a closer look at truth’s path – or the Truth Function.
The Riddle of the Ray allows us to experience the concept of limited perspective. What appears to be a ray from one angle is really a bent line from another perspective. We also experienced how this change in perspective provides answers to seemingly paradoxical phenomena such as – how can the length of one ray be the same as two.
So armed with this ‘experience’ I believe we are better equipped to grasp what may be happening at and beyond the quantum horizon. I am going to describe two forms of Truth. The first form (form-x) is how Truth exists at the beginning of its trek and the second form (form-y) is how it exists at the end of its trek – where it behaves according to classical physics.
One more thing – I need you to suspend your notion of time. These two forms do not exist in time. They do not happen one after another. Just as with the Riddle of the Ray – Truth’s Trek moves along a path we cannot discern. Got it? OK here we go:
Truth (form-x): Truth is dimensionless, timeless information.
Truth (form-y): Truth is arranged in physical and temporal dimensions.
Let this sink in. Remember – these two forms of truth are not separated by space and time. However, just as a caterpillar morphs into a butterfly – truth morphs from form-x to form-y. The metamorphosis of truth is not a time sequenced event. It is a transformation that takes place along a dimension we cannot discern. The good news is that – armed with the Riddle of the Ray – we will be able to mentally tilt this metamorphosis and examine it. For me – this is where it gets interesting.
So how does the solution to the Riddle of the Ray apply to our perception of reality near the quantum horizon?
Well, the answer lies in this statement – which holds true for both:
Some things cannot be discerned when viewed from a certain perspective.
A bent line when viewed on edge CAN appear to be a ray. And matter, when viewed from three-dimensional space CAN appear to take on uncertain states.
Put another way:
Einstein’s space-time fabric may not provide us with a vantage point from which to view physical phenomena as it exists in all of its forms.
Just as we are unable to discern one side of the bending ray when viewed on edge – we may not be able to discern the true state of matter at very small scales near the Planck constant. Artists understand this concept well. Take a look at the path in Van Gogh’s painting, Wheat Field with Crows, displayed in this post. The path becomes dimensionless at the horizon, just as our reality becomes dimensionless at the quantum horizon.
So what is actually happening at and beyond the quantum horizon? What form does the Truth exist in prior to its expression in our space-time realm? In order to comprehend a possible answer we need to be armed with the concept exemplified in the Riddle of the Ray – the concept that:
Some things cannot be discerned when viewed from a certain perspective.
Question: When does a ray contain the same number of points as a line?
Answer: When it IS a line.
If a ray is, in actuality, a complete line stretching out forever in both directions the step-wise counting paradox is solved. So when is a ray a line? The answer is revealed when you change your perspective. Take a look at the image shown below. This is a graph of the function 1/x.
Now imagine this function (shown above) graphed on a sheet of paper. Go ahead and tilt this paper and view the two lines on edge. You view what appears to be two rays. In the graph (above) the origin is at the same location as Point B in the image below.
By the way – now you can see why the tallies we compiled in the previous post were off by one. While the common end point B appears to be the same point when viewed on edge – we can clearly see that there is nothing at this location – it is the asymptotic line both bent lines (rays) approach but never reach. You can see from the table below that our intuition is correct – the single ray contains exactly half the number of ‘counted’ points as the two rays which form the ‘apparent’ line AC. I say ‘apparent’ because on very close inspection, one point (Point B) is missing.
OK – let me leave you to ponder this for a while. If you hypothesize that a ray is a bent line viewed on edge – asymptotically approaching its endpoint – then ‘a’ solution to the riddle of the ray is provided.
Now lets use this technique to view Truth’s Trek from a different perspective and see where that leads…