IdeaServer

This is where I share papers and sketches with anyone interested in the stuff I'm working on in my spare time.

About my Research

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I am an electrical engineer and coder who has always been interested in physics. Driven by scientific curiousness and inspiration in nature's transcending beauty on every scale, join me to explore the magnificent structure and complexity within each fractal aspect of our universe. I am also interested in systems theory, number theory and in the research of conditions allowing aspects of strong artificial intelligence to emerge from recursive or fractal computational processes.

If you want to contribute to this research by asking questions or discussing my work in general, feel free to contact me any time — this is my email address.

All ideas and interpretations expressed here are personal opinions, researched to the best of my knowledge and documented in a consistent manner, but not asserting a claim on completeness or even rigorous mathematical correctness. Even if some of the implications derived from my theories possibly exceed the bounds of current mainstream science, exciting insights can be gained from thought experiments like the ones presented here.

The IdeaServer will be updated irregularily whenever inspiration strikes (or something like that). In the meantime, you are encouraged to explore, share and redistribute everything interesting you find here. Consider this website as being my personal blog for sciency stuff. By the way, the design is light and responsive, so it's also fun to browse on the phone.

[Last changed: 2016-08-29]

Scientific History

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Is the unification of physics feasible?

Since the dawn of time, mankind has gazed upon the star-spattered sky, only to be unwittingly immersed into complete transcendental awe over creation itself. Questioning their own past and future, these scholars of ancient times began their search for higher truths. After centuries of discovery and contemplation, our modern mathematics and physics now form the very basis of our highly technological culture, but still they do not provide a wholistic scientific framework; many pieces of the physical puzzle are in agreement with reality standing by themselves, but are completely incompatible when related to each other.

Ancient philosophers like Aristotle already investigated the implications of an atomic world which consists entirely of aggregations of tiny particles. Galilei and Newton deepened this mechanistic understanding by observing the motion of celestial bodies and gravitationally bound masses. Action and reaction was found to be the fundamental principle of causal interaction.

But Einstein soon destroyed this illusion of an absolutist and static world by introducing the principle of relativity. Time and space are no longer invariant, but rather are intertwined and dependent on the relative motion of an external observer. This, in effect, negated our common notion of past, present and future by stating that spacetime can be bent or even torn apart -- which gives birth to the unimaginably strange concept of black holes -- by concentrations of huge and massive interstellar structures.

The rise of quantum mechanics in the early 1900's, on the other hand, opened our minds to the extremely strange world on the very small scales. While Newton would have argued that any future event was deterministically predictable if only one knew all the motions of all the particles in the world at any given time, quantum theory also destroyed this illusion. Furthermore, results point to a deep connection between physical reality and consciousness, a hint that we are in fact creating our own reality through perception.

Even though both the theories of general relativity and quantum mechanics provide fascinating insights into the fabric of spacetime and have essentially determined our technological advances of the past decade, both theories are intrinsically not compatible: The behaviour of macroscopic everyday (or galactic) objects differs fundamentally from the behaviour of tiny quantum objects. So far, all attempts of unification in order to devise a so-called theory of quantum gravity have remained unsuccessful.

String theory has been thought of as the new hot thing since the 1970's, but down to the present day it has remained a theoretical curiosity with hardly any practical application. Reality is described as consisting of eleven dimensions (containing vibrating "strings" of information), seven of which are curled up on length scales beyond the Planck barrier and are thusly immeasurable using existing physical instruments. Now, let me reiterate the most important theme of the scientific method: It is only capable of disproving theories, not verifying them. Because string theory is not subject to any experimental verification in particular, it seems about time to ditch this approach once and for all.

Furthermore, because general relativity and quantum physics are currently mutually exclusive approaches to reality, current mainstream physics does not seem to provide any means of unification in the near future. In conclusion, I think we have reached a point where we must face the crucial decision of whether to delve even deeper into the web of mathematical mumbo-jumbo we call string theory, or if we actually dare to "turn back time" in order to re-think and re-engineer some of our misguided assumptions and conclusions regarding fundamental physics. The hardest step, however, is to retrace and identify these exact points of failure within scientific history; but when we finally do, a whole cascade of interdependent inferences may suddenly collapse before our very eyes like a house of cards.

The search for mathematical and (meta)physical truth may be as infinite as the cosmos itself, so we must keep refining and redefining our theories constantly. In the end, I think, the ultimate universal truth will be very simple, albeit possibly not formal but rather spiritual in nature. There is no other option but to stay curious and boldly query nature again and again in order to unlock the secrets of her elegant inner workings.

[Last changed: 2016-12-20]

The Mirroring Principle

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From each action there results an equal and opposite reaction. The above statement convertes to the following statement: Everything is mirrored. Yes, REALLY everything!

Phase Conjugation

Every nucleus containing at least one proton (hydrogen for example) is influenced by its surroundings through emission and absorption of quantized quantities. Because of the fundamental mirroring process, a photon going into the nucleus will be absorbed and globally "neutralised" by sending an anti-photon in reverse time. On the other hand, a photon coming out of the nucleus (being emitted) will always be accompanied by an anti-photon coming in from distant infinity and arriving at the beginning of the process. This in itself is in accordance with the view of Richard Feynman, by the way.

Computation

Because the anti-particle of a photon is again a photon, things get very interesting! Described mathematically, the process of absorption and emission of bits of energy is a secondary effect of the underlying computational structure within the framework of the mathematical universe hypothesis as conceived of by Max Tegmark, wherein spacetime "just is"; meaning, that every spacetime bit results from a calculation manifesting in photonic or, most fundamentally, in Aetheric form.

More specifically, absorption and emission processes are generally NOT required to have cause-effect relations. Both are pseudo-dual aspects of one and the same thing, they are artifacts of the fundamental involution property of the universal optimimization which seems to be at work. Also, as a side note, remember that nature optimizes only locally (piece-wise), not globally!

This makes natures principle of least action a greedy computational process with finite time horizon. This time horizon might very well be in the order of or equal to the planck time, thus thermodynamically resulting in a quantized approach to conservation of discrete energies. Impulse or momentum then is simply number of discrete force units per planck time. Planck voxelation of space and pixelation time (let's call this one "toxelation", for time-voxel) is completely defined by the speed of light and a few further fundamental constants, and it is compatible with conventional units. Involving toxelation is basically equivalent to the restriction of both the time-energy- and momentum-energy-uncertainty principles.

To summarize all this exciting information in a single statement: Nature effectively symmetrizes the information transfer energetically in 4D spacetime by superimposing an equal but opposite (in time) action in a manner such that action and reaction cancel out. This seems to be one of the most fundamental truths about the workings of our universe we have discovered so far.

Relativity

By the way, magnetism has been identified as a purely secondary relativistic effect occuring when a charge is moved relatively to a resting observer, or vice versa for that matter. Isn't this interesting? This means that we can basically dismiss any magnetic features of a complex theory and study the static properties of the theory in terms of purely electrical potentials. Electrical charges, following the Coulomb principle, are surrounded by a spherical surface extending to infinity in space (and time, according to the mirroring principle), thus explaining the 1 / r2 relation of distance to field strength of most physical fields. Field strength is defined as the number of (imaginary) field lines passing through the spherical surface extending outwards each planck frame of reality; this is also related to Gauß's law.

In terms of spacetime curvature, the differential minkowski metric as modeled bei Einstein restricts the class of "plausible" systems to causal systems, i.e. those with time-like and light-like spacetime intervals. Time-like intervals are causal links with finite but nonzero distance in space. Light-like intervals are instantaneous links with zero distance which are related to photons; thereby we could actually say that photons do not move at all! All phenomena of propagation involving electromagnetism and light in general are LINKED permanently to their source and causal origin in 4D space. But they actually seem to be stored in a FLATTENED out manner: The 4D hypercube information of photon-location and -time will project holographically (wave-like) into 3D space, where the effect of light-like spacetime intervals becomes clear to us: We recognize that the time coordinate has just been eliminated. Through further nested holography (actually a projection of n-dimensional data into (n-1)-dimensional subspace), we finally arrive at the holographic baseline: Each photon's origin is being stored holographically at the very boundary of our light cone or the membrane we are sticking to right now.

Uh-Oh! Fun thought experiment: For an almighty being to exist, is must be able to travel faster than light, resulting in a space-like spacetime interval. This would actually make the outside of the universe (or the higher-order domain of said being) a place where time does not exist, where everything happens at the same time. Some people call this concept the concept of "counter-space", if still prefer to call it timespace. See also the works of Dewey Larson and his reciprocal theory for a deeper understanding of timespace. But wait a second, this all sounds too familiar: A Lorentz-invariant 3D Fourier transform could be the link between spacetime and timespace (or counterspace)!

Before I conclude this article, here are just a few last words on black holes: They are the places where the spacetime manifold actually becomes perfectly flat: Our usual 4D spacetime reduces to a perfectly flat 2D surface. According to the holographic principle, ALL 4D information is effectively compressed.

This is, by the way, also compatible with the view of Daniel Winter, a peculiar but somewhat genius researcher who constructs a model of gravitational compression through infinitely nested golden spirals. Golden spirals are constructed using the most irrational number known to mankind: Phi = (1 + sqrt(5)) / 2. Perfect irrationality in the digits of a number results in a maximum entropy state for all time (maximum randomness equates to zero information), just what nature wants to achieve according to the mirroring principle.

Let me recap; magnetism is intrinsically the orthogonal drag of the electrical wave as it propagates through spacetime (or rather defines local spacetime itself through the fine structure constant-imposed geometry or aspect ratio) and is being observed. This is insanely deep and fundamental: No observation = no magnetic field. Compare this to the joke sign saying "This sign is in spanish when you're not looking". What is real? Do we create our reality only through observation? What is consciousness and how can we relate it to free thought? Are quantum fluctuations, resulting from the energy-time uncertainty principle, the real sparks and energetical peaks of possibility as the mechanism for conscious and free thought?

[Last changed: 2016-08-29]

Michaelson/Morley failed

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Before diving into this article, be sure to make yourself familiar with The Mirroring Principle!

Aether was once thought of as being the medium in which electromagnetic waves and gravitational forces propagate. After Michaelson and Morley performed their experiment, the concept of an Aether has been widely dismissed by the science community. But to me it seems that their experiment was doomed from the very beginning by assuming an absolute Aether. Michaelson and Morley only considered the static or absolute approach whilst dismissing the dynamical approach.

We shall see that gravity is a secondary effect of the Aether field. Gravity can be described in terms of information carrier particles (photons).

Aether is not absolute! Aether moves relative to everything else!

Let's revive this old idea in modern terms of a quantized field theory. Within the realm of four-dimensional spacetime, the Aether field consists of discrete quantities below the Planck-Threshold, virtual particles. We shall define Aether to be the primary superfluidal energetic background for electromagnetism. Photons are secondary effects emerging from the modulation of the local density of the Aether field.

Excitation of the Aether yields all kinds of electromagnetic waves or light in general. Local maxima of excitement are called light particles or photons. From the fact that photon energy is also directly proportional to mass, we can deduce that Aether must also be the prime cause of any gravitational effect.

Now, let's take a look at the following equations. For similar relations, also see my Physical Fact Sheet.

We can convert space to time (both primary aspects) and vice versa using the following relation and the speed of light c as the only free parameter: c = Space / Time

How about rearranging and squaring the above equation: Space2 = Time2 c2.

We can now match coefficients using E = m c2and equate two secondary quantities: Energy = Space2 and Mass = Time2.

This is very interesting in and of itself, but why are space and time required to be squared? In linear or non-linear systems theory and signal processing in general, we use the squaring process to convert from field strengths to energy levels. Only then can we use the result to accurately compare both numbers quantitatively. It is hereby deduced that space and time must be fields. This result is also backed up by the recent discovery of gravitational waves.

Pseudoscientist Thomas Bearden elaborates on this idea even further and conceives of an imaginary device which could transform zero point vacuum fluctuations into "negative energy" he also calls "cold electricity". He makes use of concepts of non-linear optics and models the nucleus as a kind of phase conjugate mirror.

Bearden also introduces the notion of longitudinal waves, a mysterious electromagnetic effect which results from two electromagnetic waves canceling out completely, in space and/or in time.

Let me back this approach up by asserting that information can NOT be destroyed or lost, according to the holographic principle as described by Leonard Susskind.

Not in a black hole and surely not by mere destructive interference of a bunch of photons will bits of information be lost. So yes, in principle, it is quite sane to construct a model in which the destructively interfering wave vectors are conserved, resulting in a higher-order effect currently not described by Maxwells theory. Longitudinal characteristics may be conceptualized as being artifacts of information compression, namely the superposition of two causal streams of particles interfering destructively by being 180 degrees out of phase. Visualize this by thinking of another higher-order electromagnetic field being present and having local maxima at the exact points where the canceling E- and B-vectors have maximum amplitude. We can call this higher-order field a "symmetry" field. This symmetry field represents a kind of score; its potential is the degree electromagnetic equilibrium achieved in the underlying dimensions (four if we consider spacetime as a whole). Gravity might just be one aspect of that universal score of symmetry we are in search of.

Through destructive interference we have now found a way to transport energy into higher dimensions! But be aware of the following: Every modulation of a system with finite bandwidth causes artifacts called mirror frequencies. Spacetime also has a finite bandwidth, because it is quantized at the Planck level. Thus no electromagnetic wave with a wavelength < Planck length can exist as a real entity inside spacetime. The mirror frequencies arising due to this fact are always there. THIS is AGAIN in accordance to the assuption of a fundamental mirroring process being present. The frequency-encoded information in spacetime may be represented in the next higher dimension in terms of all the mirror information underlying the dimensions 5 and above (hyperspace).

The experiments of Aharonov and Bohm showed, that a theoretical (virtual) quantity could account for the effects real (indirect) measurements showed. The quantity they researched is called the vector potential, a 4D vector used to reduce Maxwells four original equations to a system of only two coupled differential equations. The symmetry field may as well some day reveal its mystery INDIRECTLY through measurements, thus transcending from the realm of a virtual concept into the information-theoretical (information-affine) reality of nature.

Side remark: If somebody could elaborate on the Whittaker papers where the potentials are actually identified as being harmonic "wavesets": Please email me about it, that would be great!

We could in principle give this longitudinal approach a try by making use of the superfluidal properties of the postulated Aether: It has a finite propagation speed which relates to the finite impedance of space and thus the speed of light. So let me say it again: Aether is a relativistic quantity, it distinctly is NOT absolute, but relative. The geometry of spectral density gradients of the ether, conceived of as a symmetry score gravitationally imposed on spacetime, is a purely mathematical system of phase-coupled (optimally destructively interfering) oscillations of funadmental frequencies raining down on us from hyperspace.

BUT: This mathematical system is causal and time reversible. A grand unified theory, on the other hand, must also contain nonlocality. So in the end Aether alone can STILL NOT account for quantum entanglement and superluminal effects alike, which was clear from the beginning. But I hope to have been able to establish a rudimentary understanding of the fascinating interrelations between space and time in the reader's mind.

I guess the time has now come for some higher-order process to be modeled in another article. Let me just say this: The extended model will have to involve dark matter and dark energy and introduce a fractal holographic topology (also called "indras net" in some more spiritual circles). We then should apply the pseudo-classical approach to gravity and the interconnectedness of matter using the Schwartzschild proton concept of Nassim Haramein. At least, this will get rid of the strong force and replace it by mere gravitational pull on the event horizon.

Finally, the virtual reality universe conjecture by Brian Whitworth supports the connection between information theory and cosmology by stating that gravitational potential is proportional to some sort of local computational potential, in effect equating gravity to information processing inside a simulated universe. Again, I ask: "Are we real?"

[Last changed: 2017-06-19]

Geometry of Primes

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This is a demonstration and empirical verification of a very interesting concept discovered by German researcher Peter Plichta. The prime diagram consists of several rings of ascending numbers (starting with 1), constructed from the inside out. Each ring carries a total of 24 values. It is shown that the number 1 and all primes except 2 and 3 are always located on one of the four distinct prime axes (those containing the red primes).

First have a look at the diagram with prime numbers arranged in a 24-sector ring structure, then let me the explain the theoretical stuff below.

Within the context of this discussion, we shall explicitly exclude 2 and 3 as prime numbers. This exclusion may seem arbitrary and ridiculous, but it makes up for its randomness by then suddenly revealing a deeper insight into the beauty and simplicity of primes through the prime diagram.

Condition: For the sake of following this idea and within its context, let p = 1 be a prime number.

Theorem: For p = 1 and also for every prime number p ≥ 5 there exists a natural number n = 0, 1, 2, ... which can be represented by either p = 6n - 1 or p = 6n + 1.

Remark: For n = 0, the theorem yields p = -1 as a candidate prime number. We will accept this hint and shall, for now, extend the definition of prime numbers by introducing negative primes.

Observation: For 0 ≤ n ≤ 3, all primes including -1 (except 2 and 3) are generated correctly using the above theorem. Hence we can state the theorem is perfectly correct inside the first ring which means that for every 6n there are two primes (twin primes) surrounding 6n. For n > 3, namely when entering the second ring, the perfect symmetry breaks and some higher-order process interferes with the fundamental perfect process described by the theorem.

Question: Is there a mathematical proof for this observation to be valid for ALL primes?

Remark: The four distinct prime axes can be reduced to 2 fundamental axes, namely the perfectly horizontal and vertical axes. The twin primes seem to be mirrored around the fundamental axes.

[Last changed: 2016-08-29]

Physical Fact Sheet

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Here is a list of scientific facts deemed worthy of being researched more specific in the future.

  • Charge ~ [?]
    Question: How can charge be related to spacetime quantities?

  • Space ~ Time-1
    the Reciprocity of Spacetime

  • Gravity ~ Space
    see Einstein: General relativity (spacetime curvature)

  • Mass ~ Gravity
    see Newton: Gravitational potential

  • Energy ~ Mass
    see Einstein: E=mc2

  • Frequency ~ Energy
    see Planck: E=hf

  • cos2t + sin2t = c02ε02μ02
    Question: Possibly found the connection of spin and speed of light as the fundamental definition of absolute time?

[Last changed: 2016-08-29]

My other Projects

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Make sure to also check out my other websites!

Business


http://paulwilhelm.de/

Community


http://mosfetkiller.de/

[Last changed: 2016-08-29]