A Context-Based Study of Nature


The Monster & the Zeta Zeros



Project MZ2 is one of a number of attempts in today’s physics to study the physical universe and its entities within a single and general framework. What makes though MZ2 different amongst others is its mathematical formalism and its context-based study of entities. This is complementary to the content-based framework employed by almost all fundamental theories of physics; namely classical mechanics, relativity, quantum and quantum field theories.


Regarding MZ2’s mathematical formalism, the zeros of Reimann Zeta function (referred to as the ‘zeta zeroes’) is its central theme. These zeroes are employed to study and to describe any entity (large or small, living or inanimate, and in either of three realms of quantum, classical or relativity) in terms of its distinct physical features, e.g. eigenvalues. However, noting that there is an infinite number of zeta zeroes, a question may arise as to how an infinite set of zeroes could be employed to describe a finite universe or entities with a finite number of specifications.


This problem is addressed by introducing a novel algorithm that allows employing a finite number of zeta zeros, matching the number of distinct features of the entity to be studied. This algorithm is the backbone of Project MZ2, which leads to establishing a relationship between the zeta zeroes distribution and that of the prime numbers, eigenvalues" of the random Gaussian matrices, and more importantly the Plank constant. Actually, Plank constant is calculated via distribution of zeta zeroes almost exactly, that is, around 99.9 per cent of its known value in physics. This has, in turn, led to introducing a Hermitian Hamiltonian whose eigenvalues are given by zeta zeroes, that is a requirement of ‘Hilbert-Polya conjecture’ in the early 20th century (later refined and referred to as ‘Berry-Keating conjecture’).


Having the Plank constant produced by this formalism, a reasonable expectation would be to produce other physical constants of the universe too, e.g. the speed of light, gravitational constant, Boltzmann constant and so on. This is again addressed by studying the likely symmetry groups pertaining to zeta zeroes via ‘simple groups’ in group theory. The work is still ongoing but so far it has been shown that the ‘equilibrium state of maximum entropy’ has a symmetry group that corresponds to what is known as the ‘Monster group’ -the largest amongst the 26 sporadic simple groups. Following this finding, using the specifications of the Monster, my student Mohammad Fattahi and I have calculated both the Boltzmann constant and the Higgs Boson mass almost exactly (around of 99.9 percent of their known values in physics).


With three of nature’s physical constants having been produced by MZ2, the work proceeds with the idea of involving the remaining 18 families of finite simple groups with zeta zeros, hoping to establish a relationship between them to explore the remaining physical constants, the speed of zero-mass particles in particular.


The other distinct feature of MZ2 is its context-based physical framework, complementary to the content-based (or reductionistic) approach employed in physics and almost all branches of science. Reductionism originates from Newton’s mechanistic view of clockwork universe (circa. 1687), following the works of Galileo, Tycho Brahe, and Kepler. He considered the universe as a machine and suggested that the only viable approach to study such a big machine would be to study its parts and then parts of those parts, ..., until the simplest possible state is encountered. This is the state beyond which either technological limitations would stop us or one notices that no extra useful information would be available.


Reductionism with its mathematical tool, i.e. calculus, have played a major role in the development of almost all branches of science, in general, and physics, in particular - it is the backbone of all fundamental theories of physics. It is also of vital importance to other branches of science especially biology and it’s related topics, e.g. pathology, pharmacology, stem cells, genetics, and medicine.


Our todays understanding of the nature, physical universe, human body, and the achievement of today’s technologies are due to reductionism-a clear and simple indication of its power and usefulness. However, it has its own limitations too. And it is those very limitations that initiated Project MZ2 about 20 years ago, to study the entities in their contexts too, which has demonstrated to be able to supply much more important information about the universe and its entities, complementing and modifying the knowledge obtained so far via the content-based approaches.


MZ2 stands for the Monster and the Zeta Zeros.


Research Projects within MZ2:

Here is the list of already accomplished works. These are recorded as videos and will be posted here and YouTube one at a time for general evaluation.

1- A novel abstract curve that interrelates almost all many-body complex systems (the ‘W-curve’)

2- A specific constant for the distribution of zeta zeros, Wz=1.48. ..

3- A specific constant for the distribution of prime numbers, Wp=1.57. ..

4- A specific constant for the distribution of eigenvalues of random Gaussian matrices, Wz=1.4 ....

5- The lowest-entropy many-body complex system ..

6- Inter-relating zeta zeros, prime numbers, and eigenvalues of Gaussian random matrices ..

7- Planck constant obtained from zeta zeros distribution, Wz.

8- The hermitian hamiltonian with zeta-zeros-based eigenvalues (Hilbert-Polya/Berry-Keating conjecture).

9- The symmetry group of the ‘equilibrium state of maximum entropy’ -The Monster.

10- Boltzmann constant obtained from the Monster.

11- Higgs boson’s mass obtained from the Monster

12- Dimensionality of spacetime obtained from the Monster and the likely resolution of the hierarchy problem.

13- A Monster based study of an accelerated expanding universe with no dark energy

14- A monster based study of black holes.

15- The monster and extra generations of leptons and bosons

16- Quantum observation, wavefunction collapse, via group theory

17- The roles of pi and golden ration in time evolution of quantum systems

18- The zeta zero based biology (emergence biology).

19- The zeta zero based pathology and a new imaging system.

20- The potential zeta zero based therapeutic system.

21- Behavioral analysis of brain structures via group theory.

22- A study of cell division and stem cells behavior via group theory

23- Findings on the cell differentiation of pluri-potent stem cells via group theory

24- Investigating the role of intestinal flora in gene expression and protein synthesis via group theory