So his work reminds me of the book I cited in my master's thesis: From Pythagoras to Einstein.
And I quote:
Then what did Minkowski really do by creating the concept of Space-Time?Of course it was not "really" from Pythagoras - but rather from Plato and Archytas to Einstein. But this book goes beyond! It reveals the same secret that I discovered - also from studying continued proportions.
He served us, reheated ...the Pythagorean Theorem!
And so this researcher makes the bold claim that because we observe the world through light, which has a finite speed, then at relativity we choose to use projective geometry as our spacetime coordinates but that is not the same as the objective geometric reality itself. So this creates Plato's Shadow of relativity where we actually see 2 objects being bent by spacetime due to the speed limit of light in the vacuum. Only the perceptible space (of light) is objective.
But he says this is all explained by Harmonic cross-ratios - and also the paradoxes of relativity then also explain quantum physics paradoxes. He is stating that in fact matter, information and energy can be faster than the speed of light! This is similar to what de Broglie's Law of Phase Harmony was also arguing. Dionysios G Raftopoulos says despite Plato's Shadow - he follows Aristotle's view of harmony as Unity in Diversity. So he points out that for Special Relativity if the velocity is superluminal then it becomes an imaginary number, but since Einstein did not believe in superluminal speed then it must not have meaning. He states Einstein limited himself to a linear view of special relativity and did not consider nonlinear examples. Einstein limited himself to the "foot of the perpendicular" in terms of the projective geometric analysis of continued proportion harmonics!
So when we study his projective geometry based on conics - he argues for relative motion in two different directions that are not symmetric!
Here we have forfeited symmetry. We have however discovered something else: Harmony....I don't believe that Nature is governed by symmetry but rather by Harmony and Harmony is certainly not synonymous with symmetry....In Projective Space you can go from A to B, not in one, but in two ways....the reverse one...via the plane at infinity. Light would precisely follow this reverse path, if we were to move at speeds greater than its own, so that it would always stay "ahead" of us....meaning we "will capture" light coming from spaces we have not yet reached....This is de Broglie's Pilot Wave explained through Ancient Greek Projective Geometry! Awesome! He says it is Angels (in bodies and also out of body) who have this instantaneous information ability! Yes indeed - the spiritual masters! And so this "infinite plane" is nothing less than the 5th dimension as noncommutative phase!! Dionysios G Raftopoulos says the problem was Einstein did not take into account the "phase-difference angle between cause and effect."
So Dionysios relies on the "point of infinity" from Gerard Desargues - whom I quote in my 2012 "Alchemy of Rainbow Heart Music" pdf and I quote from my book:
Indeed a harmonic set of four points, when one of the four is at infinity, reduces to three points, one of which is the midpoint of the line segment joining the other two.
Then I comment:
Even Desargues' Theorem remains unproven for a plane but proven for higher dimensions.He uses the exact same equation that I just derived in my recent blog post comparing Juliana Mortenson and Fred Alan Wolf with de Broglie's Law of Phase Harmony!
Thus, in this section of the material's point path, Gravity is repulsive....The fact that speed is a quantum concept, lends in turn a "quantum undertone" to the gravity concept of force...to which it appears inversely proportional....Hence there exists a fundamental texture difference between the closed surface of the sphere and that of the Projective Plane....the Projective Plane is a non-orientable surface....a very good visual representation of a unilateral [non-orientable] surface is provided by the well-known "Moebius Strip."So then he sets up a continued proportion equation that has the special relativity as inverse ratios such that the solution is negative 1 as unity (meaning he has solved the imaginary number, the square root of negative 1, using projective geometry!). Physics discussion states:
Where ћ/2 is the same as h/4π which is related "reciprocally/inversely" to Planck's Constant (h) which is the "quantum of action" of the surface area of an enclosing sphere... 4πR2. So why this?So he then says this projective geometry, although not objective reality, is a Harmonic Bundle and therefore not an accident.
So we can see in his talk - he literally just uses Platonic geometry to describe why we don't see dark matter!
New Approach to Quantum Entanglement - Harmonicity of Field of Light -Dionysios G Raftopoulos 2014
So he is nice enough to provide his book as a free pdf download on his website.
So by searching "objective" - we find he says the Twin Paradox is exposed by having a Triplet Paradox - with 2 people leaving the planet in the space ship and returning - but now their age differences are relative to not just the planet but also to each other!
We can also consider Gerard t'Hooft's paper When Light is Heavy - stating that all matter is really made of light interacting with general relativity!
So Dionysios G Raftopoulos calls this the "Unified Field of Light" and says by following the "Spirit of Ancient Greek Geometry" he has confirmed relativity.
So this is similar to what Costa de Beauregard argued - and now Hew Price still argues and Jack Sarfatti - as "retrocausality." Which means that quantum entanglement is literally just different relativistic "light cones" that cause us to perceive instantaneous exchange - when in fact time is inherently asymmetric.
Dear Dionysios G Raftopoulos: I
am very thankful for your amazing analysis of projective geometry as
harmonics. I grew up studying music from a young age and I sensed
something was wrong with the normal music tuning - the logic of the math
was wrong. I ended up doing a master's thesis on "sound-current
nondualism." Since high school I have been secretly obsessed about real
Pythagorean harmonics. Finally I discovered the secret is
"noncommutative phase." So what I discovered is very simple but it
completely corroborates your claim. I even corresponded with math
professors about ancient Greek continued proportions as harmonics and
one math professor wanted me to submit my research - it was rejected
without comment. haha. So the thing is I was talking about quantum
entanglement while critiquing Western math from the perspective of music
theory! haha. But I discovered a great scandal - and math professor
Luigi Borzacchini corroborated this for me - his 2007 paper on music
theory and incommensurability. But the key secret is that for Archytas
to use his equation (arithmetic mean x harmonic mean = geometric mean
squared) he could not use the asymmetric undertone harmonic!! So this
was covered up and lost to Western science! Not until Louis de Broglie
realized that relativity violated Pythagorean principle of frequency
inverse to time - and so there must be time from the future as a pilot
wave! O.K. so in music theory what I pondered in high school was this -
if the root tonic is 1 as C and the octave is 2 as C then 3 is G as the
Perfect Fifth but 3 is also F as the Perfect Fifth at the same time!
G=3=F at the same time as noncommutative phase! But Archytas covered
this up so that C to G is 3/2 as the arithmetic mean and then C to F is
4/3 as the Harmonic mean. Philolaus called it the "subcontrary mean" but
Archytas changed the terminology to "harmonic mean" as the bait and
switch!!
As you state
Here we have forfeited symmetry. We have however discovered something else: Harmony....I don't believe that Nature is governed by symmetry but rather by Harmony and Harmony is certainly not synonymous with symmetry....In Projective Space you can go from A to B, not in one, but in two ways....the reverse one...via the plane at infinity. Light would precisely follow this reverse path, if we were to move at speeds greater than its own, so that it would always stay "ahead" of us....meaning we "will capture" light coming from spaces we have not yet reached....
This
is the great secret of real projective geometry - as you have so
eloquently analyzed! And so Basil J. Hiley, the quantum physicist,
states that noncommutative phase is the nonlocal origin of reality, so
to does Roger S. Penrose, and Alain Connes, the mathematician, even
realizes that music is noncommutative and so is a universal scaling
system with a geometric dimension of zero that unifies relativity and
quantum physics!
Thank you again and please let me know any comments or questions,
drew hempel
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