Archives for posts with tag: mathematical physics

If we think intelligent aliens would develop a counting system and have knowledge of the natural number sequence, then we acknowledge that the natural number sequence describes natural laws of quantity:

A rigorous counting system is, by definition, physics.


There is, without any possible doubt, a single entity of Existence which encompasses everything which exists.

Existence = 1

From this, it is inevitable that the natural laws are emergent properties of the increasing mathematical complexity of the sequence 1 = N(1/N).

Max Tegmark, Garrett Lisi and others have proposed theories of everything that rest on the premise that physical reality is governed by natural laws which are naturally mathematical.

Historically there have been many discoveries of connections between patterns found in purely mathematical models and naturally occurring physical phenomena observed in the universe. More subtle connections between number theory and physics are being discovered. They’re directly related.

The law of conservation of energy states:  the total energy of an isolated system is conserved.

That is, that the total energy of a system must be constant over time;

The energy must always add up to the same amount no matter how it is distributed within the system;

1 + 1 = 2

1 + 2 = 3

and so on.

In fact a rigorous counting system is by definition, physics.

The mathematical equation 1/2 + 1/2 = 1 describes a mathematical law of quantitative relationships. It also describes a physical absolute, according to the law of conservation of energy. It describes, mathematically, the law of conservation of energy. Numbers and numerical relationships are not merely abstract concepts, they are developed from the same fundamental principles as physical laws. This is not insignificant, it suggests that the physical universe developed according to natural constraints which are purely mathematical.

The theory of everything set out on this site explains from first principles, precisely this.

the properties of the elementary particles in the Standard Model of particle physics may be inferred by studying the largest cosmic structures

Why Is Space 3-Dimensional?

“The Helmholtz free energy density (f) reaches its maximum value at a temperature T = 0.93, which occurs when space had n = 3 dimensions”



1 = 1/2 + 1/2



Pedro L. e S. Lopes, Jeffrey C. Y. Teo, and Shinsei Ryu, ‘Topological strings linking with quasiparticle exchange in superconducting Dirac semimetals‘, Physical Review B, 95, 235134, (


“We demonstrate a topological classification of vortices in three-dimensional time-reversal invariant topological superconductors based on superconducting Dirac semimetals with an s-wave superconducting order parameter by means of a pair of numbers (NΦ,N), accounting how many units NΦ of magnetic fluxes hc/4e and how many Nchiral Majorana modes the vortex carries. From these quantities, we introduce a topological invariant, which further classifies the properties of such vortices under linking processes. While such processes are known to be related to instanton processes in a field theoretic description, we demonstrate here that they are, in fact, also equivalent to the fractional Josephson effect on junctions based at the edges of quantum spin Hall systems. This allows one to consider microscopically the effects of interactions in the linking problem. We therefore demonstrate that associated to links between vortices, one has the exchange of quasiparticles, either Majorana zero modes, or e/2quasiparticles, which allows for a topological classification of vortices in these systems, seen to be Z8 classified. While NΦ and N are shown to be both even or odd in the weakly interacting limit, in the strongly interacting scenario one loosens this constraint. In this case, one may have further fractionalization possibilities for the vortices, whose excitations are described by SO(3)3-like conformal field theories with quasiparticle exchanges of more exotic types”.