Quantum Mechanics and General Relativity are fully compatible, and have a common origin: the expanding (hyper) balloon universe
Authors: Waugh Subhajit 
Published: July 2022

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Physics and cosmology are intimately linked. Consequently, our level of
understanding of one of them strongly affects our depth of knowledge of
the other.

On the one hand, the greatest challenges facing cosmology today are dark
matter, dark energy, information loss (paradox) due to singularity
inside black hole etc. which are just relics of our misunderstanding of
General Relativity (GR) of physics. All those problems magically vanish
when we realize that GR is just an inside view (since there is no
concept of ‘outside’ in GR). That is exactly why GR can’t predict the
global structure of the universe, nor can it account for ‘external field
effect’ (which has now been confirmed to 11 Sigma accuracy in
galaxies and galaxy clusters).

On the other hand, Quantum Mechanics and General Relativity (which are
our two greatest physics theories, and the two pillars on which our
modern physics rests) seem to be utterly incompatible. But in fact,
relativity and quantum principles are like two sides of the same coin,
and have a common origin, which can be understood only through the
proper model of our universe.

Quantum Mechanics and General Relativity have been spectacularly
successful, but limited to their own domain (i.e. for the tiniest and
largest scales respectively). The reason for their divergent predictions
lies hidden within the words ‘tiniest and largest scales’. The mechanism
is very simple, but to make sense of it, we have to ditch our
ridiculous, currently accepted model of the universe, and build the
correct model. This is what is happening:

3+1 (Classical regime) <=> 2+2 (Compton regime) 
<=> 1+3 (Planck regime)

Relativistic Quantum Mechanics uses the Compton scale lying intermediate
between (3+1) and (1+3), and has a spacetime dimension of 2+2 (as proved
by G.N. Ord; Fractal space-time: a geometric analogue of relativistic
quantum mechanics. 1983 J. Phys. A: Math. Gen. 16 1869).

Just as temporal and spatial dimensions changes role at the event
horizon of a black hole, similarly, the exchange of temporal and spatial
roles at the Planck scale causes it to appear like a Schwarzschild black
hole (this view is supported by modern research. Similarly, an electron
or other standard model particles can modelled by Kerr type black hole).
Therefore, depending just on the scale, the same volume inside a room
can be smooth (as GR demands) and punctured everywhere (as Planck
objects demands) or appear frothy (as QM demands).

Plank scale introduces a minimum length scale in nature, and solves
several problems at once: 1) Explains Ultra High energy cosmic
ray and the TeV-photon paradoxes 2) Explains why duality (which
is immensely powerful concept in physics) arises. 3) Explains
the origin of exotic Quantum phenomena (see next paragraph).

This recent paper [‘Quantum principle of relativity’; Andrzej Dragan,
Artur Ekert, New. J. Phys. 22 (2020) 033098] has shown that every
exotic Quantum effect like superposition, entanglement, probabilistic
behavior etc. can be explained just by assuming superluminal observers.
This superluminal phenomena is not possible in our human scale, since
the Minkowskian coordinate system (3+1) we use simply won’t allow
velocity greater than velocity of light (c). However nature
uses superluminal communications all the time (which allows Quantum
entanglement’s ‘spooky action at a distance’ which challenges Einstein’s
causality and relative simultaneity restrictions).

There are however other very serious issues to deal with (like the
‘time problem’ since quantum mechanics require universal and
absolute time, whereas general relativity regards the flow of time as
malleable and relative) before any meaningful reconciliation of QM and
GR are possible. To see how both the demands of Quantum Mechanics and
relativity can be easily satisfied, we need to build the true model of
the universe. Unfortunately, our presently accepted model (based on
Friedman’s equations, and ultimately on General Relativity) rests on a
faulty assumption.

The mistake started with our misinterpretation of Minkowski SpaceTime
equation (which explains all of special relativity including time
dilation, length contraction, relative simultaneity etc.). We have
mistaken a dynamic 3d hypersheet (composed of field & particles) moving
in a 4d hyperspace, for 4d spacetime continuum. This led to the ‘block
universe’ view (pioneered by Minkowski and Einstein) in which there is
no distinction between the past, the present, and the future. This view
is in stark contrast to our everyday experience, as well as with an
astonishing number of observations in the whole of science. This mistake
took place due to our lack of understanding of i (square root of -1),
which differentiates the temporal dimension from the spatial dimensions,
and hence causing the metric to appear as (-,+,+,+). Imaginary numbers
cannot be taken as an independent axis. The same spacetime metric is
used by General Relativity (although in the form of tensor calculus),
and hence GR is also an inside view.

As an immediate consequence of making this correction, one dimension got
freed up (which we were reserving unnecessarily). Kaluza’s miracle of
obtaining Maxwell’s equation in addition to Einstein’s equations seemed
to demand a heavy price: a fifth dimension was required as an embedding
space. Actually, 4 dimension is sufficient (and we get electromagnetic
phenomena as a bonus!). Using logical reasoning, the correct model of
the universe is obtained (an expanding hyper-balloon), whose theoretical
value of Hubble constant agrees very well with observed (accepted)
value.

From this model, we can decipher nature’s deepest secret. Nature does
not use two separate rule books, but two different viewpoints.
Everything, from the tiniest quark to the Galaxy clusters is telling one
single story.

From this model, we can see that there are 2 viewpoints involved. From
our viewpoint (i.e. from the viewpoint of a trapped creature in the wall
of our hyper balloon universe) locality is absolute, while from the
center of the universe viewpoint (nature’s viewpoint) simultaneity is
absolute, since all points which are at the same distance from the true
center of the universe exist simultaneously. In other words, the same
duration have passed since the Big Bang for all equi-radial points.
There indeed is absolute simultaneity (as demanded by Sagnac effect),
and absolute universal time (as demanded by quantum mechanics) from this
viewpoint. This solves the ‘time problem’ which had so stubbornly
resisted the reconciliation of Quantum Mechanics and General Relativity.

Every tiniest point (Planck scale objects) on the wall of the (hyper)
balloon appears as 1+3 dimensional since there is only one real
dimension (i.e. along the radius of the universe). The other 3 are
temporal dimensions. Temporal dimension is that dimension along which
any movement can be ignored. For example, we can easily ignore the
tremendous velocity with which we are travelling along the radius of the
universe. In a similar manner, nature/universe ignores movement along
the wall of the balloon whether we travel to the moon or to the sun or
to the Andromeda galaxy, because the moon, the sun, and Andromeda galaxy
are all equidistant from the true center of the universe. But this 1+3
dimension phenomena is true only as long as the point is so small that
it doesn’t start using 3 spatial dimensions of its own (just like we
do).

For us humans, it is the 3+1 dimensions in classical/human scale which
causes all relativistic phenomena to appear. Why exotic Quantum
Mechanics phenomena arises is also explained.

N.B. Please download the paper and then read the abstract
(since crucial formulas are not appearing in this window, and also
hyperlinks are not working). This is just an overall view: