Download all in a zip file (50,329,420 bytes). Check out
Spacetime Engineering 201 (video talk at YouTube, 27.03.2022),
The Physics of Life (in preparation, 6.08.2021, 30 pages),
Is There Gravitational Energy? (28.12.2020, 10 pages),
The so-called GW150914 is FRAUD (20.10.2020, 21 pages),
Can Penguins Drink Warm Water? (24.07.2020, 11 pages),
Can Geometry Produce Work? (21.06.2020, 48 pages),
Quantum Spacetime (14.03.2017, 20 slides),
Über Die Gravitationsfeldrelativitätstheorie (20.03.2020, 16 pages),
Gravitational Energy (22.02.2020, 13 pages),
How to Bind Matter to Matter? (5.02.2020, 6 pages),
Brain-Controlled Cold Plasma (27.11.2019, 28 pages),
Time and Continuum: Zenon Manifold (15.08.2019, 31 pages),
Spacetime Engineering (2.04.2019, 16 pages), and the main paper
Platonic Theory of Spacetime (10.02.2019, 46 pages).

Regarding GW parapsychology, read Kip Thorne and examine the
facts in pp. 1-6 in my report The so-called GW150914 is FRAUD.

Read my email to many experts in GR at this http URL.

God (John 1:1; Luke 17:21) exists as mathematical object
(p. 15 in facts.pdf), in line with the doctrine of trialism
(pp. 11-12 in q_coin.pdf). This is the path to quantum gravity,
Notice that I am interested only and exclusively only in the new
hyperimaginary numbers (p. 15 in quantum.pdf and p. 21 in BCCP),
which may offer solutions to various problems in
number theory,
point-set topology, and set theory. Thus, I cannot address any issue,
which is not directly related to my
hyperimaginary numbers, and will
have to ignore it. The physical part of my project is already completed:
check out the list of online papers above. Nobody showed any interest.

I also had a project about new digital EU currency (GULDEN), but it did
not spark any interest either.

D. Chakalov
6 August 2021, 10:30 GMT

The Physics of Life


The first off question in the physics of Life is the following: given the
fact that the human brain is equipped with mind, consciousness, volition,
and memory (abbreviated MCVM), what could be the physics of this chunk
of wet warm matter? The two have nothing in common, yet they are
perfectly correlated. The solution is based on the Platonic world and the
global Heraclitean Time. It leads to a new pre-geometric theory of
spacetime, called Platonic theory of spacetime. The latter is suggested as
the only possible conceptual solution to the problems in quantum gravity
and quantum cosmology. As a corollary, the possibilities for physical
theology and spacetime engineering with MCVM are briefly explored.

6 August 2021, 10:30 GMT
Old version: viXra:2106.0030, 2021-07-22

Quantum of Spacetime: Zenon Connection


The origin of Time and Continuum is addressed with the so-called
Zenon Connection (Sec. 4 and p. 7), with emphasis on (i) the
infinitesimal displacement of physical objects in 4D spacetime,
(ii) Planck’s quantum of action, and (iii) the quantum of Time
interpreted as the atom of geometry (p. 4 in test.pdf). We start
with Zeno’s paradox of motion (Fig. 4): the elementary chunk of
spacetime, called quantum of spacetime, is neither ‘zero’ nor
some finite viz. divisible entity. Secondly, we suggest a new type
of ‘quantum jump’ connecting two consecutive physicalized states
in the irreversible past, denoted Q1 and Q2 (Sec. 3) in the ‘atom of
geometry’ (Fig. 2). This new quantum jump, called Zenon Connection
(ZC), builds up the perfect Continuum of 4D spacetime along the
global Heraclitean Time (Sec. 4 and Fig. 6). And thirdly, we suggest
that the new future potential state in the atom of geometry (Fig. 2)
is the Platonic pregeometric state of the entire Universe as ONE,
which cannot be observed with light (p. 5 in test.pdf). The theory
has unique predictions, one of which is spacetime engineering.

Dedicated to the 163rd birthday of Max Planck, 23 April 1858.

quantum.pdf, 26 pages
25 April 2021, 12:50 GMT
Old version: viXra:2101.0124, 2021-02-08

Experimental Tests of Spacetime Engineering

An outline is provided at pp. 10-13. Does light propagate
in 4D spacetime (p. 12)? JAIN.

test.pdf, 15 pages
8 January 2021, 14:55 GMT

Is There Gravitational Energy?


It is argued that gravitational energy per se does not exist (p. 2 and p. 4).
Explanation at p. 3. The spacetime of ‘the Universe as ONE’ is modeled
with so-called Zenon manifold equipped with Zenon Connection (p. 5),
and two modes of spacetime are introduced, called local (also physical;
see the drawing at p. 3) and global or Platonic (p. 3). To understand the
theory, the reader is advised to start with explaining the Earth tides (p. 2).

gr_energy.pdf, 10 pages
28 December 2020, 10:50 GMT

The hottest places in Hell are reserved for those who,
in times of great intellectual crisis, prefer to stay silent.

The so-called GW150914 is FRAUD.

We do not tolerate GW parapsychology (T_V_S.jpg).
Read the abstract at pp. 13-14 and the announcement
of my latest video lecture on 21 September 2020 here.

facts.pdf, 21 pages
20 October 2020, 10:30 GMT

Can Penguins Drink Warm Water?


A gentle reminder of the origin of gravity and GW150914,
with illustrations.

Unruh.pdf, 11 pages
24 July 2020, 14:40 GMT

Old version: viXra:2006.0233, 2020-07-22

Can Geometry Produce Work?


Can non-tensorial Christoffel symbols produce work? Consider two
kitchen scales, A and B, on a table at rest, and two apples on them,
with different weight, say, an apple with 200g on scale A, and an
apple with 400g on scale B. How would you relate their “trajectories”
in 4D spacetime to non-tensorial Christoffel symbols, so that the former
will produce different weight? Obviously, the apple with weight 400g
on scale B will (i) resist acceleration harder than the apple with weight
200g on scale A. Obviously, something is (ii) doing work by pressing
simultaneously the scales A and B on the table. Obviously, (i) = (ii), but
what is it
? Perhaps the answer to this question will be the cornerstone
of quantum gravity and physical theology. To that end, I propose two-day
conference GRAVITY 21 on 26-27 March 2021 in Munich, EU (p. 13). See
also my video presentation at YouTube on 21 September 2020 (p. 27ff).

GR_textbook.pdf, 48 pages
21 June 2020, 10:53 GMT
Old version: viXra:2003.0425vJ

Time and Continuum: Zenon Manifold


Ensuing from first principles, I suggest pre-geometric theory of
spacetime [1], in which the apex of light cone 'here and now' is
not modeled with dimensionless point [2], but with non-trivial
mathematical object along null intervals, endowed with brand new
structure, topology and dynamics (contrary to Robert Geroch [3]),
and defined on so-called Zenon manifold [4].

, 31 pages
August 15, 2019, 10:30 GMT

Read my brief notes here, here, here, and here.

Brain-Controlled Cold Plasma

Hypothetical quantum fluids at room temperature, dubbed
brain-controlled cold plasma (BCCP). It is argued (p. 6) that
the genuine quantum state (dubbed 'John') does not live on
the light cone. It is UNcolorizable (Kochen-Specker Theorem,
pp. 13-14) and cannot in principle be measured with/by its
color-able, physicalizable 4D “jackets”, although the latter can
be treated with “probabilities” (Erwin Schrödinger) that sum up
to unity. Der Herrgott würfelt nicht! (Albert Einstein). God casts
the matrix (p. 7 and p. 11), not the dice.

BCCP.pdf, 28 pages
November 27, 2019, 11:15 GMT

Read Erwin Schrödinger from 1935 at this http URL.
Quantum “superposition” of classical states is an oxymoron.

Can We Replicate Stellar Nucleosynthesis?

It is argued that the genuine stellar nucleosynthesis cannot be
replicated with the artificial conditions in stellarator-type fusion
(Wendelstein 7-X in Germany) or tokamak fusion (ITER in France).
We need quantum gravity to understand how quantum tunneling
works in the presence of gravity, and then model quantum tunneling
in plasma under strong gravity.  As of today, the task of generating
energy by fusing atoms together is not scientifically feasible.
Wendelstein 7-X and ITER will not work. They may only look "exciting",
like Titanic.
August 8, 2019, 22:00 GMT

Also viXra:1908.0009, 2019-08-06

Spacetime Engineering


Explanation of spacetime engineering, tailored for general
Dedicated to 140th birthday of Albert Einstein.
st_eng.pdf, 16 pages
April 2, 2019, 12:55 GMT
Also viXra:1902.0098, 2019-04-02

The Physics of Life: Flipping a Quantum Coin

If Schrödinger’s cat paradox is difficult to understand,
consider flipping a quantum coin. At the end of the day,
the physics of life shows a hint to quantum gravity and
spacetime engineering.
q_coin.pdf, 14 pages
January 20, 2019, 16:55 GMT

Platonic Theory of Spacetime

D. Chakalov

Commemorating 110 years of Hermann Minkowski's lecture
RAUM UND ZEIT, given at the 80th Meeting of the German
Society of Scientists and Physicians (Gesellschaft Deutscher
Naturforscher und Ärzte) in Cologne on 21 September 1908
and based on the crucial contributions to the theory of Special
Relativity by Hendrik Lorentz, Albert Einstein and Henri
Poincaré, I am happy to announce my video lecture, entitled:
Platonic Theory of Spacetime.

about_spacetime.pdf, 46 pages
10 February 2019, 15:50 GMT
Also viXra:1802.0397 2018-11-13

Watch my announcement (1min 46s) at this http URL.

Gravity-Matter Duality

D. Chakalov

Gravity-matter duality is suggested as the first step toward
quantum gravity, ensuing from the idea that the phenomenon
dubbed ‘gravitational field’ is a new form of reality, known as
Res potentia — “just in the middle between possibility and reality”
(Heisenberg, Slide 7). The essential similarities and differences
between gravity-matter duality and wave-particle duality are
briefly examined, with emphasis on the proposed joint solution to
exact localization of gravity and “quantum waves” at spacetime
points. The latter are endowed with brand new structure and
topology due to the fundamental flow of events suggested by
Panta rei conditio sine qua non est.

gm_duality.pdf, 9 pages
November 1, 2017, 17:40:13 GMT

Also viXra:1707.0400vE, 2017-11-01

My objections to EU-funded Einstein Telescope and LISA
can be downloaded from this http URL.

According to the proponents of GW astronomy, the wave pattern
(shown above) of binary black hole (BBH) merger dubbed GW150914
1:1 matches the
wave pattern of very strong GWs at the immediate
vicinity of the same BBH merger
over one billion years ago, because
the latter was absolutely not altered due to non-linear interactions
of very strong GWs with matter and fields in the cosmos for over one
billion years, before being detected by LIGO on 14 September 2015.
No. We do not accept "ghosts" that would "act" without being acted
upon for over one billion years, even if they are backed by Nobel Prize:

The 2017 Nobel Prize for physics
was awarded to a FRAUD.

D. Chakalov

After a brief recall of the widely known, and still unsolved problems of the
coupling of gravity to matter and the non-linear transport of mass-energy
(equivalent to "200 solar masses per second") by gravitational waves
(GWs), it is concluded (p. 19) that the alleged "detection" of GWs and black
holes on 14 September 2015, dubbed
GW150914, is impossible, and therefore
is FRAUD. I also provide various conditions under which the conclusion can be
proven false and refuted. For example, regarding the origin of GW energy, if
the so-called "mixed procedure" (Jose Pereira) can be derived from non-linear
GW effects (MTW p. 968) due to arbitrary GW amplitude (Michele Maggiore)
inducing stresses in matter
(Robert Wald), say, in a plastic bottle (p. 21) at
distance 1 AU from GW150914, the conclusion by Hermann Weyl on the
linearized approximation of GR (p. 19) will be refuted. Then all projects in
GW astronomy, including Laser Interferometer Space Antenna (LISA), will be
duly vindicated, and I'll eat my hat.

FRAUD.pdf, 25 pages
December 30, 2017, 19:32:15 GMT

viXra:1712.0017vA, 2017-12-30 12:45:17 GMT

Panta Rei: The Evolution Equation

D. Chakalov

It seems possible to suggest the evolution equation in cosmology,
which permits unlimited creatio ex nihilo from the quantum vacuum,
without leading to catastrophic events. The physicalized presentation
of the Universe is interpreted as 'Brain of the Universe', which gives
access to 'God's thoughts' (Albert Einstein) with spacetime engineering
performed by the human brain embedded in the Brain of the Universe.

CEN.pdf, 22 pages
June 25, 2017, 10:44:09 GMT

Also viXra:1703.0222vL, 22 pages, 2017-06-25

Penrose-Norris Diagram

D. Chakalov


Brief outline of Penrose diagram and related topics.

June 21, 2017, 13:52:00 GMT

Also viXra:1705.0219v8, 7 pages, 2017-06-21.

The new theory of gravity seeks to reproduce all effects of gravity
(p. 3 in
holon.pdf) by tweaking the Platonic matrix of rods and clocks:
"spacetime has its own rods and clocks built into itself" (MTW p. 396).

Gravitational Holomovement and Rotation

D. Chakalov

We model the physicalized manifestation of the Universe as
bootstrapped ‘Brain of the Universe’
and seek evidence for its
brain-like functional organization, resulting from the Holon of
the Universe facilitated by space-like correlated gravitational
holomovement and rotation. The orthodox model of gravity,
based on “tangent vectors” and “curvature of spacetime”, is
replaced with the proposal that the physicalized clocks and
rulers are very flexible ‘jackets’ (cf. John’s jackets parable in
CEN.pdf), which can slow down or speed up viz. shrink or
expand, leading to perfectly correlated Brain of the Universe
living in so-called ‘relative scale’ (RS) spacetime. The question
of Universal Mind, complementing the Brain of the Universe,
pertains to physical theology and the doctrine of trialism, and
was examined in previous publications (Sec. 6 in spacetime.pdf).

holon.pdf, 6 pages
June 25, 2017, 11:20:21 GMT

Old version: viXra:1705.0147v3, 6 pages, 2017-05-12


Ensuing from first principles, the theory of spacetime and its
metaphysical axioms are introduced as prerequisites to physical
theology and the so-called relative scale spacetime.

Comment: Dedicated to our Lord and Savior Jesus Christ.

December 24, 2016, 1,586,148 bytes, 36 pages, 13:13:13 GMT.
Also viXra 1601.0209[vF], 36 pages, 2016-12-24 13:32:11 GMT.

Notice the new hyperimaginary numbers (see ref. [3] on p. 28).
I am interested only and exclusively only in these new numbers,
which are expected to provide solutions to various problems in
local differential geometry is false. We need totally new global
boundary conditions to define a closed and conserved Universe
in the past, which is coupled (Sic!) to an evolving Universe in
the future (Fig. 7 on p. 8). The non-linear coupling between the
past and the future states of the Universe, corresponding to the
phenomenon of transience (Heraclitus), requires hyperimaginary
numbers, and also opens the road to spacetime engineering (p. 34)
and to the origin of gravity and inertia.
Details in pp. 59-64, p. 67, p. 77, pp. 80-83, p. 85, and pp. 103-161 in
(3,016,431 bytes, 15 February 2018, 19:43:54 GMT)

Check out also gravity_rotation.pdf (3 pages, August 3, 2016).

What are the basic building blocks of the universe?
What are the forces by which they interact with one another?
Why is the universe larger than a football ?

Dedicated to 138th birthday of Albert Einstein, 14 March 2017

The slides of my talk 'Quantum Spacetime' can be downloaded from
this http URL. Regarding Slides 10 and 15, check out Ivo van Vulpen at
this http URL: "Why is the universe larger than a football ?"

D. Chakalov, March 14, 2017, 00:51:23 GMT

The idea of hyperimaginary numbers is suggested as the first step
toward the mathematical basis of res potentia (Plato), presented in
the right-hand side of the evolution equation |w|2 = |m|2 + |mi|2.
The real and imaginary (tachyonic) components in the right-hand side
are always balanced, leading to |w|2 = 0 — the physicalized world is
made of positive mass-energy only, |m|2, which is always balanced
(not "conserved") by equal amount of |mi|2, once-at-a-time, ever
since The Beginning (John 1:1).
God is interpreted as mathematical
(hyperimaginary) object residing “inside” the 4D instant here-and-now
(Luke 17:21), and conceptual solutions to fundamental problems in
point-set topology, set theory, and number theory are briefly described.

hi_numbers.pdf, 26 pages, 7
February 2018, 16:00:45 GMT
viXra:1611.0084vH, 26 pages, 2018-02-07, 16:15:04 GMT

The full manuscript will be available only on Christmas 2016, upon request.
I will elaborate on the main, and certainly not original, statement made
on p. 3 in 'Hyperimaginary Numbers' that the physical world (res extensa)
offers only the necessary condition for its existence, while the Platonic
matrix of res potentia is the sufficient condition: "It's a bundle18." All
this is encapsulated in the so-called Arrow of Space (AoS), because what
we call 'time' is not just 'change in space', but 'change of space' as well:
it's a bundle. Hence I model the entire physical world as the 'Brain of the
Universe', and suggest AoS based on Fig. 3 in 'Hyperimaginary Numbers',
along with specific applications of the equation |w|2 = |m|2 + |mi|2 for
Mathematics, quantum gravity and cosmology, and spacetime engineering.

D. Chakalov

November 12, 2016

The hypothesis of gravitational wave, suggested by Albert Einstein in
1916, still poses outstanding challenges, which have to be resolved
by the theoretical physics community as soon as possible.

September 10, 2016, gw_miracles.pdf, 6 pages.
Also viXra:1607.0377v6, 2016-08-31, 4 pages.

I argue that vacuum spacetime with  Tab = 0 is highly exaggerated
approximation, like the famous 'spherical cow'. If you are a cowboy
and wish only to count the number of cows in your herd, you may of
course think of them as 'spherical objects'. But imagine the following
situation: as you walk in your grassland, you notice that the grass
on a loan has been hardly pressed to the ground, as if some heavy
object has passed through your grassland. Would you say that some
brand new spherical cows have rolled over the grass? That will be just
like GW150914, the alleged discovery of gravitational waves and black
holes in vacuum spacetime.

July 20, 2016, 405,967 bytes, GW150914.pdf, 8 pages.
Also viXra:1606.0228v5, 2016-07-19, 8 pages.

GW150914 is a FRAUD supported by at least 1522 fraudsters:
"As this event turned out to be a binary black hole merger, there
is little expectation of a detectable electromagnetic signature.
(...) In classical general relativity, a vacuum BBH merger does
not produce any EM or particle emission whatsoever."
Vacuum spacetime with Tab = 0 is highly exaggerated approximation,
like a 'spherical cow'. If 1522 people claim to have detected the pattern
of perfect spherical cows rolling downhill like a football, don't buy it.
It is like pink unicorns dancing with red herrings. Proof: a "vacuum" with
Tab = 0 cannot contain any gravitational energy, so the gravitational
field cannot "do work on matter and vice versa". Yet Kip Thorne claims
that GW150914 was "by far the most powerful explosion humans have
ever detected except for the big bang", only it did not produce "any EM
or particle emission whatsoever." What a stinky nonsense.

If you disagree, you'll have to explain the "connection between compact
binary mergers and short Gamma-Ray Bursts" (Valerie Connaughton et al.,
arXiv:1602.03920v3 [astro-ph.HE]) and associate GW150914 with the
"transient signal at photon energies > 50 keV (Sic! - D.C.) that lasted 1 s
and appeared 0.4 s after the GW signal" (Avi Loeb, arXiv:1602.04735v2
), which INTEGRAL did not detect (Vova Savchenko et al.,
arXiv:1602.04180v2 [astro-ph.HE]). All this in vacuum spacetime, Tab = 0,
which means that "the most powerful explosion humans have ever detected
except for the big bang" (Kip Thorne) could be produced and manifested
only and exclusively only by Weyl curvature that "governs the propagation
of gravitational radiation through regions of space devoid of matter
", without
"any EM or particle emission whatsoever." What a pathetic nonsense.

GW150914 is a FRAUDDon't ever say that you knew nothing about it.


As an epitaph of the project for so-called GW astronomy, I suggest the
famous saying by Confucius: “The hardest thing of all is to find a black cat
in a dark room, especially if there is no cat”. Specific examples are drawn
from GW150914 and LISA Pathfinder, to explain why GW astronomy was
born dead from the outset. Since the issue of energy transport by gravity is
crucial to General Relativity, in the second part of the paper I offer a
hypothesis about the origin of gravitational radiation in Relative Scale (RS)
spacetime, and outline hypothetical applications of spacetime engineering for
producing ecologically clean and unlimited energy by polarization of the
so-called light vacuum.

Comment: Due to the sensitive nature of clean unlimited energy sources
from spin-0 gravitational radiation, the full paper is available only upon
request (Matthew 7:6).

May 18, 2016, 850,549 bytes, 11 pages + more.


Ensuing from first principles, a new theory of spacetime has been suggested,
called ‘relative scale spacetime’. It denounces the absolute size of objects at
different length scales, thanks to which the phenomena known as quantum state
(“just in the middle between possibility and reality”, Heisenberg) and Einstein’s
“total field of as yet unknown structure” are unified as potential reality of
quantum-gravitational origin (dubbed causal field), endowed with relative-scale
metric. At macroscopic scale, it produces what is known as gravitation, without
any dark matter nor dark energy.

Comment: Dedicated to the centenary of Einstein's General Relativity.

Read the final version (8 November 2015, 44 pages, 2,199,898 bytes) in

Notice the interpretation of John 1:1 & Luke 17:21 in physical theology,
Case IV in Table 1 on p. 8 in rs_spacetime.pdf. St. Thomas Aquinas raised
the question in 13th century (Summa Theologiae, Part I, Question 85,
Article 8): "Punctum non ponitur in definitione lineae communiter sumptae."
(‘A point is not included in the definition of a line as commonly assumed’).
It's all about Mathematics.

Check out also pp. 17-38 in note.pdf and pp. 24-28 in horizon.pdf.

I had the impression that have understood the so-called fictitious force in General Relativity only once, in June 1972 at age 20. It was a beautiful feeling, which lasted until the end of 1973 and never came back. How can we understand something that acts like a force and is related to the entire spacetime, but is not a force? Perhaps "inertial effects arise from the gravitational field of a moving universe" (Dennis Sciama, 19 August 1952), provided that its "motion" (the flow of time) and "rotation" are defined with respect to the Universe as ONE.

Download the red herrings known as "event horizon" and "gravitational-wave astronomy" (horizon.pdf, 29 pages and note.pdf, 38 pages), my message to the Human Brain Project (HBP.pdf, 10 pages), the abstract of the first paper introducing the so-called biocausality (January 1990), the final version of Relative Scale Spacetime from viXra:1410.0194 (2015-11-08 18:34:20, 44 pages) and my comments on it (comments.pdf, 77 pages and censorship.pdf, 27 pages), and the PDF copy of the old (now archived) website plus additional papers, Indefinable.pdf (413 pages, 13,030,908 bytes, 5 August 2018).

Forty-nine years ago (January 1972), I started this project with the hope to understand the physics of the human brain and learn to harness its tremendous latent abilities (see ref. [63] in rs_spacetime.pdf). The reason for seeking new physics was explained on 16 July 1997, 16 July 1998, and 20 December 1998, but nobody showed any interest. I created this website on 21 October 2013, to present my project 'Maximal Set Theory' (see Table 1 on p. 14 in spacetime.pdf), but it did not attract any attention and I decided to archive it (pp. 252-350 in Indefinable.pdf). As Upton Sinclair explained, “It is difficult to get a man to understand something, when his salary depends on his not understanding it.”

More in my forthcoming book The Physics of Life (manuscript in preparation, ETA 6.01.2022)

Dimi Chakalov <>
(last name pronounced tcha-KA-lov)

October 21, 2013
Latest update: August 6, 2021, 10:30 GMT

There is no matter as such! All matter originates and exists only by virtue
of a force which brings the particles of an atom to vibration and holds this
most minute solar system of the atom together. We must assume behind
this force the existence of a conscious and intelligent Geist (bewußten
intelligenten Geist). This Geist is the matrix of all matter.

Geheimrat Max Planck