What can be expected on physics laws in parallel universes? In our universe there exist some physical quantities and interactions for example mass, electric charge, gravity, electromagnetism, gravitational and electromagnetic radiation, strong interactions, weak interactions. Galileo, Newton, Kepler, Kopernic, Nasîrüddin Tûsî, Maxwell, Einstein, Feza Gürsey etc, very important scientists studied and derived the physics laws [1, 2, 3, 4, 5, 6, 7, 8]. It is possible to study the dynamics of our universe from infinitely small to infinitely large scale. Our universe has its own physical quantities, physical laws. But it is not certain that in other parallel universes there exist same physical quantities (mass, electric charge etc), interactions, radiations. Even if same quantities, interactions exist, it is certain that their magnitudes and ratios may not the same. Despite in our universe the ratio of electromagnetism/gravitation nearly 10 to the 40, this ratio maybe reverse or largely different. In that case how can be governed the contact and information exchange among them. In other parallel universes new exotic physical quantities and interactions are possible, same kind periodic table may not exist.

Some restrictions in quantum mechanics are valid in our universe, such as Heisenberg uncertainty principle, Pauli exclusion principle. In other universes very different kind exotic structures massless, chargeless may exist, and very different exotic quantum rules.

In our universe there exist some limit points such as speed of light, absolute zero Kelvin degree, event horizons of black holes. It is completely possible to study and analyze all physics until these limit points, but unfortunately physics laws do not work beyond them.

But one point is clearly definite, it is Einstein covariance of the physics laws in parallel universes. A parallel universe has its own physical quantities, interactions, laws etc., and naturally these physical laws must be written in the same mathematical form totally independent of any reference frame. Two observers from from two different reference frames must observe the same physics and must study same physics formulas, despite two reference may move relatively to each other uniformly, or with acceleration a, or higher order acceleration a to the n.

And also another point is absolutely clear and definite, it is basic primary calculus –addition, subtraction, multiplication and division. All calculations and researches will start from it.

In our universe, velocity dependent potentials, special relativity with uniform motion, general relativity with acceleration, the contancy of speed of light , absolute Kelvin zero degree (- 273 degree), event horizon of a black hole, atomic and nuclear structures in quantum mechanis are well studied concepts.

Einstein field equations result in so many, nearly infinitely many, solutions. Most of them do not have physically correspondence in this universe. Gödel universe is a very good and intelligent example for this case. Against quantum mechanics probabilistic interpretation, Einstein has said that “the god does not play dice”. But in this case for infinitely many parallel universes “the God prefers to play with infinitely many dices”.

References:

1- Nasir al-Din al Tusi: Tusi (1201-1274 a.d.) was an Arabic scholar whose writings became the standard texts in several disciplines for several centuries. They include editions of Euclid's Elements and Ptolemy's "Almagest," as well as other books on mathematics and astronomy, and books on logic, ethics, religion. He wrote the "Tadhkira," to be "a summary account of astronomy' presented in narrative form. The details are expounded and proofs of the validity are furnished in the "Almagest." Indeed, ours would not be a complete science if taken in isolation from the "Almagest" for it is a report of what is established therein." It is thus not only a sort of running commentary on the "Almagest," but also an account of medieval Arabic cosmology. Jamil Ragep has not only translated the text of the "Tadhkira," but has also provided a lengthy introduction with a biography of Tusi and a discussion of the context in which the "Tadhkira" was written and its influence, as well as a detailed and thorough commentary on each section of the text.

2- Einstein: The Foundations of the General Theory of Relativity “Die Grundlage der allgemeinen Relativit ̈atstheorie’.Annalen derPhysik, 49, 769–822 1916”

3- Maxwell James Clerk, A Treatise on Electricity and Magnetisim, 1873,

4- Galilei Galileo “Dialogues Concerning Two New Sciences”

5- Isaac Newton “Philosophiae Naturalis Principia Mathematica

6- Johannes Kepler, “The Harmonies of the World” 1619

7- Nicolaus Copernicus, “De revolutionibus orbium coelestium – On the Revolutions of the Celestial Spheres” 1543

8- Feza Gürsey, “Reformulation of general relativity in accordance with Mach's principle” Annals of Physics Volume 24, October 1963, Pages 211-242