Nanobrain: The Making of an Artificial Brain from a Time Crystal

Published November 30, 2019 by anirbanbandyo

Making an artificial brain is not a part of artificial intelligence. It will be a revolutionary journey of mankind exploring a science where one cannot write an equation, a material will vibrate like geometric shape, and then those shapes will change to make decisions. Geometry of silence plays like a musical instrument to mimic a human brain; our thoughts, imagination, everything would be a 3D shape playing as music; composing music would be the brain’s singular job. For a century, the Turing machine ruled human civilization; it was believed that irrespective of complexity all events add up linearly. This book is a thesis to explore the science of decision-making where events are 3D-geometric shapes, events grow within and above, never side by side. ​

The book documents inventions and discoveries in neuroscience, computer science, materials science, mathematics and chemistry that explore the possibility of brain or universe as a time crystal. The philosophy of Turing, the philosophy of membrane-based neuroscience and the philosophy of linear, sequential thought process are challenged here by considering that a nested time crystal encompasses the entire conscious universe. Instead of an algorithm, the pattern of maximum free will is generated mathematically and that very pattern is encoded in materials such that its natural vibration integrates random events exactly similar to the way nature does it in every remote corner of our universe. Find how an artificial brain avoids any necessity for algorithm or programming using the pattern of free will.

Here is the table of content of the book.

Table of content:

Chapter 1: Philosophical transformation essential to reverse engineer consciousness

1.1 How do we differ from the existing worldview

1.2 Ten research fields that we cover here

1.3 The universe within and above not side by side

1.3.1Turing based worldview does not consider

1.4 Basic questions to answer: Ten popular human brain models

1.4.1 How does the information looks like in nature

1.4.2 Why two individuals understand each other or the universe?

1.5 Different kinds of tapes to recreate nature in different languages

1.6 Brain-inspired decision making the outline of key discoveries

1.7 Energy transmission in the brain, its not all about neuron skin

1.8 Terminologies of life that computers do not support

1.9 Linguistics and the wheel of space, time and imaginary worlds

1.10 Three concepts define artificial brain

1.10.1 A language of time crystals written by the symmetry of primes

1.10.2 A magnetic light creating a device that stores charge, builds a time crystal

1.10.3 A pattern of all possible choices to arrange primes

1.11. Conclusion: The religion of science has a triangle, Darwin, Turing and Hodgkin-Huxley:


Chapter 2: Replacing Turing tape with a Fractal tape: Fractal Information Theory (FIT) & Geometric Musical Language (GML)

2.1 Incompleteness of current information theory

2.1.1 Fractal tape and surgery of a 2D image to place it in a nested sphere

2.1.2 Self-assembly of geometric shapes and the concept of singularity

2.2 The basics of a Geometric Musical Language, GML

2.2.1 How a 3D structure becomes a time crystal or a tensor

2.2.2 15 geometric shapes are enough to recreate any 1D, 2D, 3D pattern

2.2.3 How to convert waveforms into a time crystal: Non-differentiability

2.3 The basic concept of a time crystal, the garden of garden

2.4 How to design a sensor for acquiring 11D data

2.4.1 Why Fourier transform does not work

2.4.2 The engineering of a nerve bundle in acquiring hidden data

2.4.3 Operational chart of a sensor

2.5 Comparative studies between Winfree, Wilczek and universal time crystal

2.6 The definition of a quaternion, octonion, and dedication

2.7 The basic concept of a higher dimension data: a lucid presentation

2.8 A comparison between GML and software algorithm

2.8.1 Historical Background on Hypercomputing and Super Turing hypothesis

2.9 Creation of a non-argument

2.10 Fractal information theory, FIT summary in a single chart

2.11 Geometric musical language, GML summary in a single chart

2.12 Conclusion: Russel’s paradox and higher-order logic in a geometric language


Chapter 3: Phase prime metric, PPM links all symmetries in our universe, governs nature’s intelligence

3.1 Ten classes of phase prime metric, PPM a pattern of primes

3.1.1 15 primes contribute to 99.99% of all integers in the universe

3.1.2 Ordered factor metric and its 3D version

3.1.3 How does a time crystal is decomposed & amplified using Phase Prime Metric

3.2 Metric 1: An integer is replaced by a typical geometric shape

3.3 Metric 2: Product of each primes forming integers led to a unique ordered factor metric

3.4 Metric 3. Integers limited to 360 phase builds clockwise and anticlockwise paths

3.5 Metric 4: A domain of integers sets a limit on the usable 15 primes

3.6 Metric 5: When ordered factor much greater than the integer itself

3.7 Metric 6: Empty space in the plot of the ordering of divisors in phase plot finds holes

3.8 Metric 7: Statistical dominance of primes in the integer space, silent and active primes

3.9 Metric 8: Normalized ripples on the metric plot shows, periodicity in events

3.10 Metric 9: Lattice group of primes (twin primes, cousin primes, co-primes, Gaussian primes)

3.11 Metric 10: Multilayer imaginary operation on the real integers build a new pattern

3.12 Ten prime operators to be applied step by step

3.13 Hidden physical significance of 15 primes when PPM evolves time crystal

3.14 How to use a phase prime metric, PPM

3.15 Solution of a big data problem on diabetes, PPM in an artificial brain

3.16 Three classes of primes

3.16.1 Ordered factor metric OF, prime composition metric PC and prime gap metric, PG

3.16.2 Advantages of PPM


Chapter 4: Fractal mechanics is not quantum but original: Geometric algebra for a dodecanion brain

4.1 Revisiting the basic concepts of quantum mechanics using clocks

4.1.1 Wave-particle duality, beating, interference, entanglement, harmonic oscillator.

4.1.2 Multiple imaginary worlds operating at a time need fractal mechanics

4.2 Fractal mechanics acts in the phase space connecting singularity points

4.2.1 Multilevel geometric architecture of the Hilbert space

4.2.2 Fractal harmonic oscillator, fractal condensation, peculiarities

4.2.3 Harvesting noise by harvesting singularity: Phase prime metric to replace statistical mechanics

4.2.4 What is energy in the world of many interacting imaginary worlds?

4.3 A comparison between classical, quantum and fractal mechanics: Scale symmetry and scale relativity

4.4 Action is not limited to planks constant, every imaginary world has one

4.5 A table of fundamental constants in nature

4.6 Quantum interference and fractal interference experiment on a single microtubule

4.7 Fractal absorption-emission of the optical band of a nanobrain

4.8 Basic mathematics using clocks

4.8.1 Writing numbers, equations, addition, subtraction, multiplication, division

4.8.2 Differentiation, integration and partial differential equations: : Lie Algebra

4.8.3 CFGA operator that runs 13 math operations by itself in a time crystal structure

4.9. The fundamentals of quaternion, octonion and dodecanion

4.9.1 The rule of the 11D manifolds

4.10 Twelve equations that regulate a fractal tape for prime based computing

4.10.1 Projection from infinity, future impacting the present.

4.11. Different kinds of spirals in nature

4.12. A marriage between fractal mechanics and the geometric algebra


Chapter 5: Big data in the garden of gardens, GOG of meander flower: universal time crystal

5.1 Gödel’s incompleteness and the fractal tape

5.1.1 A marriage between frequency fractal hardware and the time crystal

5.1.2 Phase prime metric allows two systems to sync without communication

5.2 The origin of fractal resolution and instant reply

5.2.1 Spontaneous reply, search without searching

5.2.2 Automated error correction by time crystal learning

5.2.3 Synchronization of time crystals and incomplete problems

5.2.4 Umbrella of perception: harvesting infinity, projection from infinity

5.3 Replacing Fourier transform by time crystal transform

5.3.1 The image processing and sound analysis using time crystal

5.4 Ten situations where the Turing machine fails, Fractal machines hold on

5.5 Hardware architecture of an artificial brain

5.6 Thermal breathing by microtubule and artificial brain

5.7 Lotus lotus in the primes, revisiting thermodynamics of geometry

5.8 How geometric similarity builds creativity in the computing of primes

5.9 The wheel of intelligence: Difference with humans

5.10 Why could prime based computing predict future without prior knowledge?

5.11 How prime based artificial brain shrinks big data?

5.12 The limitations of prime based computing


Chapter 6: Unprecedented technologies of nature led by harvesting the geometry of singularity

6.1 Phase prime metric, a pattern of primes embedded in the tubulin protein

6.1.1 -Helices form groups of rings to complete a loop

6.1.2 Hyperspace of symmetries follow a mathematical identity

6.1.3 Ordered factor of integers and the coding in proteins

6.1.4 Water channel in biomaterials and the remarkable engineering of water channels

6.2 Experiment on a single nano-device to find its time crystal

6.2.1. How do we experimentally confirm that an assembly of the clocks is a time crystal?

6.2.2 Triplet of triplet resonance band in microtubule

6.2.3. The biological relevance of the time crystal: Exponential speed up of time crystal transfer via synchrony: quantum entanglement is not the only route Tubulin’s nested resonance & synchrony

6.3 Single molecule’s thermal diffusion emerges into a natural clock

6.4 Brain’s fMRI images created on a molecular surface

6.5 Massively parallel computing by cellular automaton

6.6 One to many and many to one orbital computing in a nano wheel

6.7 Hidden communication in the filaments much before a nerve spike

6.7.1 Triplet of triplet resonance band in the axon of a neuron

6.7.2 Scale-free triplet of triplet band in tubulin, microtubule and neuron

6.8 The measurement of a complete time crystal map of a neuron



Chapter 7: A complete, integrated time crystal model of a human brain:

7.1 Brain is the engineering of prime numbers embedded in a triplet of triplet cage

7.1.1 Four, eight and twelve imaginary worlds work together

7.1.2 Singularity on a sphere: a key to a clock of a time crystal

7.2 Primes in the five sensory system

7.3 Primes in the cerebellum hippocampus and hypothalamus

7.4 Primes in the connectome spinal cord amygdala nucleus and cortical column

7.5 Primes in the neuron, glia, dendro-astrocytes, microtubule, proteins DNA

7.6 Twelve ways to memorizing and twelve carriers operating rhythms/clocks

7.7 Brain’s wheel of primes

7.7.1 Eight sensors hold cross-over magic of octonion

7.7.2 Eight mathematical operators run two orthogonal math engines

7.8 The basic device for decision making in the brain

7.8.1 H3 device brain uses everywhere

7.9 Fusion of cavity & dielectric resonator model of a human brain

7.10 Time crystal model of the human brain

7.11 Four metrics of primes run in parallel, the saga of hexagonal lattice

7.11.1 Composition of four eight and twelve dimension-tensors

7.11.2 Quaternion, octonion and dodecanion

7.12 Time crystal made meander flower to a garden of gardens

7.12.1 12 dodecanion and 8 octonions build 20 conscious human expressions


Chapter 8: Hinductor not Memristor: Synthesis of atoms and crystals made of magnetic light

8.1 It is resistance but not for electrons, but for vortex atoms

8.1.1 Quantum non-demolition: e-pi-phi quadratic sensors

8.1.2 Rapidly oscillating cell membrane holding a long wave

8.1.3 Paraxial systems

8.1.4 Anisotropy and avoided crossing

8.2 Three concentric spiral cylinders talking to each other

8.2.1 Periodically oscillating edge and screw dislocations

8.2.2 Topology regulating the polarization

8.3 Hamiltonian or energy of four clocks creating magnetic light

8.3.1 Birefringence and quantum, classical beating

8.3.2 Pancharatnam Berry phase

8.3.3 Pyroelectric ferroelectric and piezoelectric properties

8.4 Linear variation of magnetic flux and stored charge in H

8.4.1 Flow of thermal wave, friend or foe?

8.4.2 Wireless communication between two H devices

8.4.3 Tomasch oscillations and harvesting noise

8.5 Periodic oscillation of capacitance inductance hinductance with its geometry

8.5.1 The concept of phase space with 12 holes that blinks

8.5.2 Periodic oscillations with length, pitch, lattice area/diameter: theory, experiment

8.5.3 Knots of darkness on the H interface

8.6 Interactive three cylinders perturbing the knots

8.6.1 Generation of spin-like knots of dark lines

8.6.2 Synthesis of super-super coil made of dark lines

8.6.3 Morphogenesis of knots to vortex-like magnetic atoms

8.7 Magnetic knots driven self-assembly

8.8 Design application and operation of H, the novelty of H

8.9 Transition from the old era of electronics to magnonics


Chapter 9: Brain jelly to humanoid avatar: Fractal reaction kinetics, Fractal condensation, and programmable matter for primes

9.1. Neuromorphic devices are not alone: 17 bio-morphic devices to sing together

9.1.1. A description of peculiar designs of critical brain components using an organic gel

9.2. A hexagonal 2D sheet of cortical sheets: a carpenter’s job

9.2.1 It’s a collective response of quad patterns of primes

9.2.2 Three rhythms, electric, magnetic and mechanical bind them

9.3. Anomalous quantum cloaking: vanish and seeing the one we want to

9.3.1 Randomness is not random anymore

9.4. A living gel that listens and then grows from atomic to centimeters

9.5. Fractal condensation: condensing everywhere at a time

9.5.1 Pattern of primes need not be told

9.6. Fractal reaction kinetics: Many syntheses in one beaker at a time

9.7. Nanobrain, the smallest life form

9.7.1 Jelly of megamers following a resonance chain

9.7.2 EEG of a nanobrain

9.8. Tuning undefined holes to read magnetic light

9.8.1 Spiral nanowire writes time crystal, read it as a crystal of light

9.8.2 Writing prime numbers in a jelly

9.9. Entropy drives the synthesis of a pattern of primes

9.9.1 Hesse diagram for entropy builds material analog of integers

9.10. A cortical pen that freezes unknown dynamics into a time crystal

9.10.1 Capsules of brain jelly, one each for one big problem

9.11. A sensor that seeks, do not wait

9.11.1 Eleven dimensional signals in the human brain & brain jelly

9.11.2 Humanoid avatar: an ultimate sensor

9.12. Sensor triad, sensor jelly, muscle jelly, brain jelly

9.12.1 A total transformation from the biological neural net to a jelly of time crystals


Chapter 10: Uploading consciousness: The evolution of conscious machines of the future

10.1. A journey from cortical pen to a conscious egg as a companion of life

10.1.1 How we construct a sentence is how we think

10.2. Ten key guidelines to reverse engineer a human brain:

10.3. Ten paradoxes that would change our thoughts forever

10.4. Consciousness is not on the neuron skin: time crystal model is nowhere but everywhere

10.4.1 The difference between neurogenic brain model and time crystal model

10.5. When should we carry it, why do we make it

10.6. Wiring with time needs to fold a paper in 11D

10.7. The marriage of primes with geometry would reshape humanity

10.8. Machines of the future

10.8.1 The difference between circuits of wires and circuits of time

10.8.2 Future applications

10.9. Playing with cheap handy tools to break the paradigm of thoughts

10.10. Numerology of human consciousness

10.11. Wheels of an evolving brain

10.12. Synthesis of aliens before meeting them

10.13 A cycle of the garden to flower to a petal





In future we will see information and feel it, wont require to decode

Published May 13, 2018 by anirbanbandyo

We have introduced geometric musical language (GML) so that we don’t have to read 01111010101010111110000001111000001101010101010101000010101010101010100000101010101010101010111111100101010101010101010101010101010101010101111111111111111111110010101010111110000000000000000000011111111100101010101010101010101010010101010. These set of letters make no sense to us. We need a decoder to read it. What if we have a language that has a decoder, our perception, a higher level argument? As soon as we look into the information structure we would be able to extract the information we will simply get it inside our brain like a feeling.

For a century, information was a dead object. Imagine a time in the future when information is like a life form. It has a clock to keep time, a geometric relation as its significance or importance, that could be understood as a cognitive entity, no reality or classical point to have a physical existence, it is like a concept.

If we truly find the information structure of the universe, or our brain, we should be able to understand it as soon as we look at the information structure. We are not in a position yet, but I strongly feel one day we will be able to distinguish between an information structure of fear with the information structure of a joy.

Not just that I am eagerly waiting to see how a bird sings and we feel the information structure of a birds song, or pain when a plant dies.

When every part of a system grows simultaneously, spontaneously

Published January 8, 2018 by anirbanbandyo

In the conventional wisdom of science, every part of a system cannot transform itself together. For creating a physics theory we take two particles at a time, and then disappear everything else from the universe. Some people tried to build a science using three particles but failed. Current science never allows to take all at a time. The kind of science that we have been developing does exactly that, enables us to create a whole new branches of scientific theories considering all at a time.

Let us first understand the problem where in the practical world we encounter it most. Imagine you have an architecture of self-assembled time crystals and every part of it is growing, or imagine your whole body, every part of it is growing simultaneously, spontaneously. Conventional science teaches us that there should be a boundary point and beyond that everything would remain static, and then only we would analyse the dynamics happening inside. We all know that every point in the universe is changing and we are also trained only way to understand it is to do science, where we know how to delete everything in the universe and deal with only one tiny system of interest.

Here is the new kind of science that we are promoting. Here, we have an universal guideline, we create a guideline how symmetries could change spontaneously. In the world of phase prime metric, every part of the material grows and decays simultaneously. We do not look for a static boundary point, in our universe there is only one static part that is the metric itself, the phase prime metric, the guideline. This is a new kind of system where transition of symmetry constitutes the boundary points. We know how symmetries would break and adopt a new symmetry point. Learning to live with everything that are changing continuously is the new kind of science and we are looking into one such new kinds of practices, that we are following. Of course people would have to perfect it for years to come.

The idea is very exciting to us, metric of symmetry was never tried before. Space-time metric was there, where we input space, output is time, it provides all kinds of links. We were tired of all tiny discrete boxes inside which physics used to live, when ever we want to move outside, we use our imagination, fit observation with something dumb, later find some meaning to it. If others find some other imaginary route, we ask them to correlate the dumbness, sometimes called constant. Now, when we have transition of symmetries as a metric, therein, when one set of symmetries changes to the other, there is a guideline, we are independent of any spatial or temporal boundaries.

This is a totally new experience, a journey where time and space evolutions would appear messy, random, unpredictable because everything talking to everything has global symmetries, you may look into that. However, you cannot sense 34% mostly, your sense would get lost. In this world of science, even topology would not take you far, you need a new kind of drawing, a mathematics of patterns. Equations wont help, initially we tried many routes, finally, we decided to build a new class of mathematics of our own, called continued fraction geometric alzebra. Of course Al Zabar has nothing to do with it, but Sri Dharacharya has.

In this new type of mathematics, we only draw things and the rest of the solutions are automatically derived. Why do we need a new kind of mathematics for the analysis of Phase prime metric? Because every part of the system is growing together. In the conventional alzebra or any form of mathematics, you cut short expansion of equations, infinite series. Using the same infinite series you end up in different solutions simply by rearranging the terms means you do not have a proper procedure. By drawing circles and circles alone, we have created this new type of mathematics that deals with infinity, addresses infinity in a new way.

Here are the ten books to be published in the coming years.

  1. NanoBrain: Intelligence using rhythms: This book explains the new kind of information processing and decision making using which an artificial brain could be built. Manuscript is ready
  2. Neural knots of protein’s darkness: Time crystal biology: This book explains the new kind of biology, how information structure creates, and evolution happens. It includes our research on protein, the role of water. A new kind of neuroscience.
  3. Consciousness is music: Music is consciousness: New theory of consciousness, our 12 unique concepts to develop a rigorous study of phase prime metric. This book illustrates what marvellous new age science could be created from the phase prime metric.
  4. Universal language of nature: Doing math by drawing: Continued fraction geometric alzebra, can we do mathematics just by singing.
  5. A circuit without electronics: A fourth circuit element: Our unique fourth circuit element how super non-conductivity works in regulating THz and magnetic fields.
  6. A Journey to nothingness: Beyond Quantum realm: Our Fractal mechanics theory and its different principles. Geometric phase generalization
  7. Cosmos is a living life: Journey through fractal gravity: Our new theory of the universe where we describe what is there at the edge of the universe, and outside the boundary
  8. Darwin-Turing religion vs Life in life in life….Our new theory of evolution beyond Darwin and new theory of a living information
  9. Musiceuticals: Microbiome to nanobot, drugs of future: Creating artificial life form to cure diseases, we will have the musical treatment of proteins but we will create life forms to live with us and cure diseases.
  10. Building giant machines by themselves: A saga of fractal engineering: In the distant future, all machines could be created by writing a code and then in an artificial womb the machine will be created following the phase prime metric. This book would describe how fractal engineering would replace additive, subtractive engineering.



A Historic perspective of our artificial brain building research

Published January 5, 2018 by anirbanbandyo

For the first time in the world we measured the vibrations of proteins and found that they work like a composition of tuning fork, or a complex musical instrument, whose pattern of frequencies is the key to human thoughts. Imagine a singer is singing  and in each of her notes, there is a music embedded.

1. Discovery of time crystal in biomaterials: Every single molecule is a quantum device, it is known since the 1920s. Currently, in quantum biology, researchers take a protein molecule from a biological structure, show that it is a quantum device and then speculate, that the whole organ where it is found, is working quantum mechanically. X molecule showed quantum effect, researchers claimed, smell works quantum mechanically; Y molecular complex showed quantum effect, researchers concluded photosynthesis work quantum mechanically, we showed microtubule which is again a protein complex quantum device, since it is found in the neurons, we could say, brain & consciousness is due to quantum. Though we discovered quantum properties in the microtubule, we think actual question is how to link that vibration to the human thought process? We found a way in Quantum mechanics. In 1955, a 22 years old kid Pancharatnam in India suggested that classical clocks are one, so, no way to confirm if you make a complete rotation, but, in quantum there is another clock nested with it, that keeps a count (geometric phase). We generalized it to explain our experiments with microtubule and neurons, there is a clock inside a clock inside a clock… in an infinite network. Then, we generalize quantum mechanics too, using simple conceptual extrapolation of Berry-Pancharatnam phase. We also found that such nesting of clocks was also noted as time crystal by A Winfree in his book “the geometry of biological time”, in 1977, he did not self-assemble the time crystal, we did it, to explain formation of whole brain and consciousness.

2. Inventing a new computing beyond “quantum computing”: One point everyone miss, the existing quantum computing is in no way different than the classical computing, it is the same logic gate, same programming, same wiring, no change in decision making principle. The only difference is that the circuit is cooled down at a very low temperature. Brain has no software, it is just a material that naturally vibrates. No version of existing computing philosophy allows decision making without writing a code. So, we rejected a century old philosophy of computing to make it fit to what we observe in the quantum properties of brain materials, microtubule and neurons. We considered that all events cannot be represented as a sequence of simple events, which was practiced for a century. We reject Turing machine and Turing tape, introduce a fractal tape, a tape, which has a cell inside a cell inside a cell….. In this new theory (Fractal Information Theory, FIT), we use quantum mechanical experiment derived unit of information, a life like clocking geometric shape, not meaningless “bits”. These life like information units self-assemble and forms a complex geometric shapes (time crystal structure), which is a music, or a song (Geometric Musical Language, GML). So, thought is a music, so it consciousness. So, a generalized formulation of Pancharatnam Berry phase of quantum mechanics leads to time crystal which self-assembles to create a frequency fractal brain that sings as consciousness.

3. Discovery of chain of resonance: Quantum mechanics left a clue of consciousness in the 1920s when Feynman and others introduced the concept of renormalization for their Nobel prize winning work. They avoided addressing the most profound reality of nature, every single path has infinite paths embedded in it, there is a path inside a path inside a path inside a path….. in an infinite network. This is the query using which 500 years back, zeno defeated Socrates, and to tell what is inside, we assemble Feynman diagrams like neurons in an artificial intelligence network and train the input with the output to explain mysteries of the universe. While experimentally measuring the patterns of vibrations in the proteins and in different brain components like neurons, cortical column, hippocampus etc, we have discovered that the pattern of vibrations that links all components as chain of resonance, it looks very similar to the pattern of prime numbers is the guideline of natures. So, we found a way to make a journey to an undefined function, not bypassing it. Just like astrophysicist uses a space time metric to predict future dynamics of planets and stars, we input any sensory information to this metric as time crystal and it gives an output as a geometric shape made of clocks. This architecture of clocks is what is our brain, and its song is our consciousness.

The philosophy of frequency fractal computing. Our worldview & new information theory

Published November 1, 2017 by anirbanbandyo
(Keynote lecture ICOEV 2018)
Linear to a 3D topology of integrating events: For a hundred year, the foundation of information theory is based on the fundamental principle that every single event happening in nature could be explained as a sequence of simplest event, switching between “yes” and “no”. This was a very strong principle because it rejects all other forms of geometry that could connect events. We propose to connect events using a topology, a geometric shape whose corner points are events. There would be multiple ways to generate closed loops between points. We also consider a corner point holding unique geometric shape inside. The only way to self-assemble different events and creating a new one is that a topology of events start behaving as a single point and connect with different events to build a new one. In this existing philosophy of information integration, when we connect dots representing events, we do not have any problem about the gap between the events or dots. However, now it is a big problem. Because we need to find by ourselves the gap between events or dots. Connecting the dots along a line could be done blindly, what all we need to think is if the sequence is right. However, for topological integration of events we need to find exact distance between events, or phase gap. Imagine you are given 8 points and you have to make a cube, so the information you need is the distance between the points, what is equal for all points. However, the situation changes dramatically if the distances are not equal. We say that the problem occurs when distances between the points are different. We define a distance as phase.
Say, we are given a number of events as discrete points, and we are asked to build a topology using these events as a set of points. Can we do it following a rule or any trick? If we can, then if an unknown set of events happen around us, we can integrate them. If information of relative phase differences are not known we cannot build anything, because using a given number of events a large number of structures could be created. Without getting nervous, we calculate the possibilities how can we integrate, being as wild as possible. We use simple mathematics to find maximum randomness in topology for a given set of events.
The birth of a system point: Topology is rich because if a linear set of events are connected in a close loop it is an example of the existing Turing philosophy itself. The topology would not only encompass a volume but also have the ability to give birth to a system point. How? every event is a single point, it has a topology inside. When all system points in the internal topology synchronize, effectively it becomes a single system point for the higher topology and could move along the higher topological structure, i.e. available above. This is how a system point is born at the event point.
Counting the randomness of a given number of events:  For us, integration of phase is the way a set of events integrate to generate a new event. Why? Because we imagine a topology or a cube, how do you move from one point to another? Addition of phase takes place when we take the product of vectors, as indices of exponential term. So, we find how many ways phase integration is possible, this is done by finding the number of ways we can make the composition, for 12, it is 3 (we get a topology triangle), the number of ways one could make combinations of those triangles & lines etc for 12, we can have quadrilateral of triangles (4×3=4×3=12). So, for every single integer in the number system, we can have a composition of typologies, as if one is given infinite sets of balls, now arrange them in the number of ways you can, only one restriction, make it productive integration, so that sum of phase is taken always as supreme. Because we follow the philosophy of topological integration, that is information is written in the topology of silence.
You give me a set of integers, I give you a movie: So, if one gives us only an integer, we can find a large amount of information. Only a set of numbers could represent a whole movie, with a past, present and future. How much this is reality we do not know, whether universe actually follows this or not is an open question, but, it is always interesting to see how much could we stretch information from geometric alzebra.

Time has come for a new kind of science: what kind of science would that be?

Published August 30, 2017 by anirbanbandyo

No one knows how nature constructs information or even how does it process. But we humans have created a giant resource of scientific formulations. We feel that the extent of complexity that we have enriched, would not have attained, had we known the true form of information in nature. The science would never have been so complex had we knew how information actually looks like in nature, and how does it integrate. Not just scientific theories, often we talk about data overflow. What is the origin of this Big data? Repeatedly analysts are arguing that we add the world full of knowledge at every six months, but count bits. “bit” does not quantify knowledge. Our perception is that we did not measure information properly, so it grew in an uncontrolled manner like cancer. What is that mistake?

While experimenting with biomaterials we have seen that nature encodes information as changing 3D geometric shape encapsulated inside a sphere. If necessary, it adds new geometric shapes inside its corner points. Driven by Turing philosophy existing scientific formulations read any systems information as a string of a linear set of events. When the topology is used in a scale free manner,  by nature, at limited scale linearization works, but not when topology becomes complex. There are ten reasons we have outlined here, why linearization is fatal. Note that the science experienced in terms of topology is new kind of approach to seeing the same science, this is not a rejection of the existing science, but replacing the culture of the methodology of working with the old science culture. Of (i) basic assumptions, (ii) derivations keeping a close eye to derive the expression that would explain the result, (iii) make expressions as complex as possible to add accuracy to the experimental results, (iv) correct basic assumptions if major changes are required.

  1. Linear observation is non-real, superimpose of two world, one below, one above: When a topology is linearized, we consider that the corners of that topology are not changing, interacting. They are static and absolute. But in reality, every point has a topology inside and it is part of a higher topology. The higher and the lower topologies regulate it, any topology that we observe is a combined effect of the two, the reality is an illusion. When we measure and linearize we lose the cause and read an effect which does not contain any information of nature.
  2. bits” to be replaced by elementary topological structures: When we linearize any event happened in nature and then integrate it linearly, we consider that every single event happening in nature is identical fundamentally, it is made of switching between “yes” and “no”. This is highly unlikely that at the elementary level everything is identical. Physics teaches us that there is a fundamental set of symmetries of topology (number of polyhedron that we can create is not infinite) and that is now units of information.
  3. Two body to many body system transition is fatal, we need topological morphing model to replace it: In creating information architecture in science, we take a stream of bits, but afterward, we use black box methods to reconstruct the models for science. In any physics theory, we consider that an elementary number of particles that exist in this universe is just two, the rest disappears. This is a very non-physical unrealistic situation that demands human bias to a large extent. For simpler events, imagination works, but for complex events, it does not, so human bias takes over, different scientists argue, debates continue for centuries. When we observe that topological structures are the foundation of information not a streamline of bits, we make a grand change because it is simply demanding to create a topological version of all mathematical theories that thousands of scientists developed over centuries. In 2010, in our Nature Physics work we argued to create a new kind of science using topology, but now, we are arguing that it could be 3D topology representing the same theories in science in significantly simpler formulations. For streamlining events, equations containing infinite series often results in non-physical unrealistic significance.
  4. Directionality if lost it is like losing spin of an electron, even much more than that, losing composition of spins in a spin foam: Topological information when converted to linear stream of pulses, it is directional information, say you are looking into a data, it does not reflect any part of the information completely. Linearization is fractally incomplete. Select any point on a linear information, any part, it is incomplete. We can enter continuously, everything would be incomplete.
  5. No culture of justifying a basic law by fitting experimental observation, derive all from the pattern of primes: Topological integration follows the pattern of the number system, it does not use any fitting anywhere. So, the science is not born from the elementary basic laws, but metric of primes. This is one of the most fundamental principles of the new science that we want to build. Here instead of mathematical formulations, 12 different metric regulates structural transformation of topologies. Linear streaming of data is dead, gives enormous freedom to a user to twist and play with the reality of the system. Explore wild imagination, we do not have it.
  6. Topology grows inside and above: it always follows an undefined route: There is no differentiation anywhere. Therefore, linearization cannot be modeled. Imagine a point whose properties are defined by a topology inside which is structurally evolving following multiple clocks. Obviously, the point has no fixed property. We can replicate or morph its behavior as much as possible, but not quite accurately.
  7. Sequence seen in a burst may not be the real sequence of a topology: Bursts that make a linear string of events, could originate from different corners of a topology, it could be an effect of temporal locking of the system with the measuring device.
  8. Self-resonance, self-oscillation always requires additional components like different forces but in topology, it does not: When we were kids in our school textbooks it was written, when a double derivative of position is proportional to the position we get a pendulum. Derivatives 90 degree phase regulator, but topology is analogue phase regulator, so, systems within and above could reflect energy to oscillate periodically in a fractal system. In a linear system we need two perpendicular forces and a topological constraint. So, linear systems are not robust to accommodate oscillations.
  9. The science of equation is always a singular path: Quantum has an infinite path but does not detail the path specifics: Topological architecture when details scientific formulations, it tells topology of paths at every level, this beautiful pathways are missing totally in the linearized science.
  10. Topology inside a single point holds a topology inside by interference in open space: 3D density of states of fractal topology vibrates and changes its configuration, this is where the phase information is located. Linearization probes the single point burst, so gets a totally different information, which is fundamentally different if one measures topological information topologically. `

How nature processes GHz data or THz data or pHz data? It looks into all, but saves interesting patterns at all time scales simultaneously!

Published July 26, 2017 by anirbanbandyo

While developing the technology for the new age computer we encountered a severe problem. We found that at the rate of GHz we have 10^9 bits of data per second. Then, for THz we have 10^12 bits of data per second, and then finally for pHz or LASER induced capture, we find that we are generating 10^15 bits per seconds (flops). How to manage them? We simply can’t existing science or technology can’t. Of course we have peta-flop computers but those are only to show that we have it. When the time comes to look into various data sets at that speed, those who operated with peta-flop machines know very well that simultaneously operating at GHz, THz, pHz is just impossible. We have to transfer data at the same rate, and adjust speeds with other clocking speed data transfer and then find useful relations between them. By the time we understand its intelligence trillions of bits will be waiting for us asking “Hi, mister”

I had rigorous conversations with our chief scientist Martin at IIoIR ( I told him looking at his concerns, look, we will not take any data as points, we will add them to topology, and modify the topology made of a few bits. Then, you wont have to worry about all this huge data sets. Like in the 1800 a movement was in India “go back to Vedas”, because of massive abuse from British-Christianity invasion, the route was to go back to the basics. Even now, the route is to go back to the cavemen to find inspiration from geometry and topology.

It is so nice to say that we will take a topology and start building on this topology. But doing it in reality is extremely difficult. If we do not know the skeleton of the information architecture of the universe we cannot start anywhere. This is why we need a phase prime metric, just like astrophysics used a metric to build the space time correlations of the universe we need to build a similar metric of pattern or topology. Where we can add.

When we are looking into the patterns produced at the femto-seconds time scale we do not need to see how the pattern would look like in the pico seconds time scale. We might need to make detailing of some of the patterns we see for hours (micro-hertz), then we can look into some of its important topology in the seconds scale, it zooms and finds some interesting topology at the microseconds scale, then, finds some more. The journey goes on and on to the femto second time scale. But who decides the interest? This is done by two factors. First one is memory and second one is phase prime metric that contains map of all possible uncertainties.

So, we are going to do just that in the conventional electronics hardware. Do not see all the data, because it is impossible, but inspired by the universal links between topologies we get into building a multi-time-scale topology of our own. Who knows you may be creating that at this moment in your brain now.