Ground-Breaking New Theory

Author Picture In2Infinity

⏱ 4 min read
In2Infinity Theory Mathematics and Geometry

When it comes to pioneering new ways of using geometry to explain our universe, we have innovated a set of unique concepts that make logical sense. The result is a collection of exciting concepts that sheds new light on our scientific, mathematical, and even spiritual beliefs.


✔ New Ways of Thinking
✔ New Mathematics
✔ New Science

Groundbreaking Theory - Introduction

Theory is an important step to proving an idea’s validity. Our innovative approach to science and spirituality employs geometric form. This is what differentiates us from many other theoretical proposals, as the predominant theories of science, and even spirituality, are based in energetic transitions. The current standard model for atomic physics, also termed the ‘Copenhagen Interpretation‘ is a classic example. By developing a system that attempts to measure the electron directly, it had to adopt theories of uncertainty. However, what it fails to encapsulates is the wider realisation that electrons are confined to specific areas around the nucleus. What is more, these designated zones are geometric in nature.

Scientific theories have been tested and confirmed to highly accurate degrees of precision. This exponentiation has generated a wealth of data, and new technology confirms its validity. By looking at what we know through the eyes of geometry, we can paint a very intruding image that explains the reason for these observations in simple ways. What emerges is picture of reality that functions through a completely different mechanism than is currently proposed.

Below we outline some of the main aspects of this new perspective, and show you how it is applied to all kinds of phenomena; from the furthest galaxy, to subtle vibrations of the atomic fabric, and even to the inner workings of your own consciousness.

Geometric Thinking

In2Infinity - Theory - Geometric Thinking

Geometric thinking is a particular way to use, and organise our minds using geometry. This is an effective method to expand consciousness and cognisance as this is how the brain works.

We are all visual beings.

Our mind is the canvas upon which we paint the impressions which become the innovations of humanity. We recognise that a student is more likely to comprehend and remember a complex concept if it is linked to some kind of image. We find much evidence of this with memory champions who employ visual techniques to perform astounding feats of recall.

Forms of Geometric Thinking:

  • Science produces models that explain complex ideas.
  • Business used info graphics and mind mapping.
  • Religion uses symbolism.

Through compass construction, we have designed a series of tools that will accelerate a person’s mental abilities. From self-development and planing to the ability to understand complex subjects. Geometric thinking empowers us to envision outside of the box, and helps to build the capacity of individuals, community groups, business organisation and educational institutions. Find our more by visiting the links below.

4D Thinking I 5D Thinking I Harmonic Mapping I 4D Yoga

Universal Math

In2Infinity - Theory - Universal Math

Mathematics is a system of numbers based on a set of axioms. These are a set of rules that define the logic of mathematical functions, such as addition, subtraction, multiplication and division. Our current system is actually constructed from a choice of axioms, that we have chosen to use. Yet, there are many other types of mathematical systems that could be employed. For example, we meter our everyday experience of time using a system based on the number 6.

60 seconds, 60 minutes or 24 hours (6 * 4)

Beyond this scale the system of time changes and we use a 7 day week, then an average of 4 weeks in a month, and then 12 months in a year. Notice, that as the scale of time changes, the inaccuracy increases. At a smaller interval of time we employ a decimal system, which is the standard adopted by science.

When we observe the interconnectedness of these systems, we find that they are all based on the idea of a line of numbers. This expands in two directions into infinity, with a zero placed directly at its centre. In order to commutate more complexity, the number ‘i’ was developed to accommodate the notion of -√1. And with it came the belief that humanity had now covered all numbers in existence within its system of mathematics.

However, we believe this is not the case.

Whilst it may be true that the current model of mathematics has exhausted itself as far as its numerical foundations are concerned, we believe we have developed an entirely new approach to numbers that places the number i in a totally different context. The result is a theoretical resolutions to the most famous scientific problems of our time and indeed of the last century.

The ‘Continuum Hypothesis’ was determined to be the #1 mathematical problem of the 1900’s. Its current proposed solution we believe is incorrect. We also believe that our new mathematical system sheds light on the ‘Riemann Hypothesis’ which is the greatest challenge facing mathematicians in our current century.

The reason we can be so confident about these claims is because our new our system of Universal Maths is geometric in nature. This system is not played out on a single number line. It includes concepts that are similar to the idea of complex numbers. Yet, we have found it to be more intuitive and useful for exploring the mathematics of reality. For this reason, we call it Universal Mathematics, as it is designed to easily understand the hidden construct of number. We believe this structure emulates directly the nature of reality, from the atom and the periodic table, to distant stars and galaxies.

Dimensionless Science

In2Infinity - Theory - Dimensionless Science

If you thought science was all about measuring, then our new system of Dimensionless Science may come as quite a surprise. Based on the simple idea that the universe can be explained through simple ratio, we have found that complex formula can be collapsed into simple geometric images. The validity of this system of ratio is supported by the fact that it remains consistent for scientific calculations at both the macro and micro scales of reality. Thus far, our system of Dimensionless Science has defined the exact values for over 40 constants and pieces them together in a simple way.

This includes fundamental constants such as the Speed of light (c), the Electromagnetic constants (ε0, υ0, and Z0), the elementary charge (e), the Fine structure constant (α), and the Planck constant (h). Under the presently adopted SI system, used by the standard model of science, these constants do not have exact values defined.

However, once expressed as a ratio, we can find exact values to any arbitrary number of decimal places. The apparent complexity of defined values of the SI system is explained as the combination of irrational numbers such as π and various other root numbers. Whilst no one knows the exact number of these ratios, we can calculate them to a much higher degree of accuracy. However, the real revolution for this kind of geometric metamathematics is that it can be precisely expressed in terms of simple geometry. This opens the door for a new way for people to comprehend science that is much simpler and more intuitive.

Want to find out why?

Join our Dimensionless Science Challenge and explore the fundamental relationship of light, electromagnetism, and matter!

4D Aether

In2Infinity - Theory - 4D Aether Torus

4D Aether Theory revisits the popular 1800’s concept of a ‘Lumifarious Aether’ through the lens of 4th dimensional geometry. In this way, we can identify a 4D space to satisfy the criteria of an incompressible fluid, which could transmit an electromagnetic wave (light) through the vacuum of space. Einstein proposed a solution to this problem, whereby light itself was a photon of energy. As a discreet particle it could travel through the vacuum without a transportation medium.

However, this led to further problems, as it was well established by Thomas Young that light exhibited wave-like phenomena.

As a compromise, it was suggested that light can act as both a particle and a wave. This is called Wave/Particle duality, and is a concept embedded at the heart of modern physics. Yet, no mechanism has been thus far provided that might explain exactly how light is able to possess such qualities.

This conundrum is easily resolved with a 4D aether, which provides the medium for light to travel.

4D Aether Theory proposes that it is the mechanism of 4D space that transmits light in a vacuum. This also explains the quantisation effects of reality. For example, a hypercube consists of two Cubes that occupy the same space. Each will take a turn to occupy a 3D space, which occurs at a certain rate, to produce what we know as time. It is this swapping that we attribute to the quantisation of energy found in electromagnetic waves.

This view also supports that electricity and magnetism are part of the same phenomena. Yet, they express different qualities and are consistently off-set at 90° to each other – clearly a geometric quality. If geometry lies at the heart of electromagnetic phenomena, which in turn is the limiting factor of the speed of light, (as suggested by the standard model), it makes logical sense that the Aether itself must be geometric in nature.

This intriguing theory resolves many interesting anomalies such as the Double-slit experiment and wave-particle nature of reality, the observations of Virtual Particles, Quantum Foam, and Vacuum Fluctuations, and gives fresh insight into the Cosmic Background Radiation distributed isotropically through out the known universe.

Atomic Geometry

In2Infinity - Theory - Atomic Geometry

Atomic Geometry presents the world’s first geometric model of the Atom. Using a simple template we can demonstrate how a nested set of regular and semi-regular solids can be complied and explicitly models the orbitals of electrons.

There is a general misconception that the electron is a haphazard event. Based on a mathematics of probability, it is impossible determine how fast an electron is travelling compared to where it is located. This is called the Heisenberg Uncertainty Principle, and is a foundational concept of atomic theory. At the same time, we find that the electron can only occupy discreet shells. Whilst the first statement conveys the notion of incomprehensible chaos, the second is highly deterministic. Additionally, these orbital shells are defined as distinct form one another: S, P , D and F, each with a distinct geometric pattern.

Surprisingly, it appears that no one has thus far considered this fact to be of any importance. In contrast to this, when looking at the history of scientific discoveries, it seemed a natural step to take. What we present is a geometric interpretation of these orbitals through certain polyhedra, which are nested inside each other. This suggests that the quantisation of the electron cloud was not due to the electron, but the geometric nature of space that surrounds every atomic nucleus.

Through the study of what we know about the atom, we have been able to construct an incredibly simple model of the atom, that can be constructed out of card. We have already demonstrated that this model can be produced by young children of ages as young as 7 years old. Surprisingly, they were able to grasp complex atomic concepts well below the expected age. We believe Atomic Geometry is one of our most exciting new developments, as it paves the way for a more widespread understanding of the atomic structure that is both fun and informative.

Harmonic Chemistry

In2Infinity - Theory - Harmonic Chemistry

Harmonic Chemistry is a revolutionary concept that unifies the colours of the visible spectrum and the structure of the periodic table through simple musical principles. This unification offers the perfect complimentary study of Atomic Geometry. Both present a concise description of the atomic structure. However, Harmonic Chemistry extends the application of Atomic Geometry in order to explain the interactions of larger molecules.

Whilst the Universe might appear to be complex, its foundations are actually rather limited. Everything is made of atoms, that come in different types. What determines the fundamental qualities of each one is the number of electrons and protons it is comprised of. Interestingly, the number of electrons and protons under normal conditions are always equal. Counting up the numbers will equate to the different elements of the Periodic Table such as hydrogen, carbon, nitrogen, and oxygen.

If we count up the number of stable atoms, we find they total 81. Any atom outside of this is non-stable. We call these radioactive elements. as non-stable atoms radiate their energy, so they decay into stable atoms, normally lead or bismuth, found at the end of the stable elements. Therefore, we can say that reality is made up of only 81 stable elements.

However there is more to the story.

In the sequential number of elements, number 43 and 61 are missing. For some reason they are non-stable. Why should a radiative element suddenly appear within the series of stable elements? The answer can be easily explained by the theory of Harmonic Chemistry.

A musical octave is found by the division of a string into two equal parts. On the periodic table, the 84th element marks a point where the stable elements terminate, and the radioactive elements begin. The 42nd element is the last in the series before element 43 marks the 1st radioactive element. Notice, that element 42 is exactly half that of element 84.

Additionally these numbers are factors of 7, which in exactly the same as the number of white note found within an octave of music (A to G). Furthermore we find that 84 is also a factor of 12 (7*12) which is the number of black and white notes combined, which forms the octave. And this is just the beginning.

The theory of Harmonic Chemistry offers a revolutionary redesign of the Periodic Table that outlines its foundational architecture. It incorporates musical scales from the Arabic and Indian traditions, and can be explored using both stringed instruments, and the piano keyboard.

By combining this understanding with the concepts found in Atomic Geometry, we are able to expand the theory into biological and ecological systems.

Universal Geometry

In2Infinity - Theory - Universal Geometry

Universal geometry is the expression of geometric principles we have discovered at the microscopic scale, reflecting into the macrocosm. Within this field of study, we examine the nature of gravitational fields, the orientation of planets in our solar system, to the formation of galaxies, and even to the creation of the universe itself.

The idea that the planets of our solar system are spaced out in accordance with geometry is nothing new. Joannas Kepler was able to determine the laws of planetary motion, based on geometric principles. The mainstream view is that he failed to achieve this due to the elliptic nature of planetary orbits. However, we can demonstrate that geometry can define the mean orbital relationships of all the planets in our solar system, from Mercury to Pluto.

Furthermore, we can correlate both the types of geometry, and the order in which they appear, as a direct reflection of the structure of the electron cloud as proposed in our theory of Atomic Geometry. This macro-micro relationship is evidence that we are living in a fractal universe.

This geometric structure remains consistent at various scales of the universe.

We have defined these scales into 5 distinct types, Atomic, Elemental, Planetary, Solar, and Galactic. This comprises a single universe, and can be conveniently mapped to the metaphysical principles of the ‘5 elements’, which we describe in our book, the Template.

This new theory can now positively solve the most challenging questions facing science today.

Quantum Gravity, is the unification of the law of quantum physics, with the theory of relativity and gravity at the macro cosmos. Our solution proposes that the answer to this is found in the holographic nature of the 4D Aether. This represents itself at various scales of existence, which is expressed as a simple set of geometric forms.

In this way, the Universe does not need to measure distance, it enacts space. It is a geometric construct that unifies time and space. We suggest the unification is achieved through the most fundamental of geometric constants; π. The relationship of the radius of a circle to its diameter lies at the heart of electromagnetism. This is particularly evident with the scientific constant υ0, that traditionally has been ascribed the dimensionless value of 4π.

It is interesting to note that a recent reclassification of scientific constants demoted the dimensionless quality of υ0, by trying to provide it with a distinct value.

The laws of electrical charge and gravity utilise the same mathematical formula. The laws of electron magnetism are expressed through constant (K), whilst the laws of gravitation utilise the gravitational constant (G). However, the mathematical equation for both consist of exactly the same format.

Electricity and Magnetism are part of the single phenomena of electromagnetism.

We suggest gravity is a balance of rotation and attraction charge to create a stable system. This occurs in conformity with geometric space surrounding a centre of some kind. This centre is described as the black hole that resides at the centre of a galaxy, or as the Neutron/Proton configuration of the atomic nucleus.

Furthermore, we postulate that there is a black hole at the centre of our sun, and even at the centre of our Earth. In this view, matter becomes the condensation of light around the event horizon of a black hole.

Universal Geometry also finds application in the realm of consciousness itself. Each conscious awareness exhibits an inner and outer world. We suggest that the boundary is itself an event horizon. The same space that surrounds the atom also surrounds each point of awareness on planet earth. This field, sometimes refereed to as the aura, is geometric in nature.

By understanding this geometry, you will understand both the universe, and, most importantly, yourself. For whilst we often place our faith in new technologies to solve the challenges we are facing, the truth maybe far more simple.

We need to understand ourselves.

As all creation emanates from our inner world of mind, the study of how information can translate through the event horizon is of significant importance. It touches on the very fabric of who we are, and why we are here.

For this reason, we have divided what may be a complete theory of life, the universe and consciousness into defined concepts. In this way the mind opens petal by petal, towards its own discovery, and its own truth.

Once the flower has blossomed, each petal finds resonance with the other. Thus, a balanced view of reality can be found upon solid ground, a place where logic meets heart, intellect meets integrity….and humanity reaches itself.

Universal Geometry brings new light to the nature of our solar system, the galaxy and beyond, and directly addresses one of the largest questions facing science today: What is gravity, and how does it work? Find out in our new theory of Universal Geometry.

About the Author
In2Infinity established in 2015 by Colin Power and Dr. Heike Bielek.