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# Electricity: ∆²

FOREWORD.

ABSOLUTE RELATIVITY: ORGANIC SYSTEMS

“According to their [Newton and his followers] doctrine, God Almighty wants to wind up his watch from time to time: otherwise it would cease to move. He had not, it seems, sufficient foresight to make it a perpetual motion. Nay, the machine of God’s making, so imperfect, according to these gentlemen; that he is obliged to clean it now and then by an extraordinary concourse, and even to mend it, as clockmaker mends his work.’  Leibniz-Clarke Correspondence on the absurdity of mechanical models of the Universe

This blog is dedicated to the philosophy of science called systems sciences, and its logic-mathematical formalism, the scalar fifth dimension of space-time.

Systems sciences are based on the alternative philosophy of science to that of mechanist physicists and its only entropy arrow, called organicism. Let us try to explain why only organicism is a scientific truth.

According to Deism the whys of existence are due to a personal being, external to the Universe that makes it all happen and cares for humans more than for the rest of His work. According to Mechanism, this is due to the self-similarity between the Universe and the primitive machines we humans construct to observe it. Mechanism though needs ‘someone’ to make the machine, which is not self-generated; so it is similar to deism, reason why the founding fathers of science, all pious believers, adopted it as a proof of the existence of God, which had given man self-similar properties – the capacity to make machines to the image and likeness of the Universe.

The problem with those 2 approaches, which in fact are the same is obvious: a personal God is an anthropomorphic, subjective myth and science must be objective; while a mechanical view of the Universe still needs an internal, self-sustained process of growth, creation and synchronization caused by an external God that made and rewinds the clock – as Leibniz clearly stated in his critique of Newton.

Scientists today are unaware that mechanist theories are in fact deist theories, reason why Kepler and Newton, pious believers, liked them; since they were a metaphor of their self-centered, anthropomorphic religious beliefs: If man created machines because we were made to the image and likeness of God, God had created the ultimate machine, the Universe.

Organicism on the other side is the only self-sustained, rational theory that doesn’t need a creator, language, god, as organisms are self-replicating, but does explain perfectly within the ‘correspondence principle’, those 2 other philosophies of science; since a machine is just a primitive organism of metal, and we shall see in our sections of History, Gods are the subconscious collective of civilizations, ANOTHER scale of social evolution of the fifth dimension.

So what we mean by an organism? A very simple system – NOT to confuse with the most evolved, complex of them all, that of human beings, reason why so many people, having a natural biased ego-centered belief in man as the unique organism, reject the concept:

An organism is just a group of similar forms, which organize themselves with at least two ‘networks’, one that provides the ‘clone cells/citizens/atoms’ with the vital energy they need to feed, move and reproduce (blood-economic system-electromagnetic forces) and one that provides them with information to guide their survival actions (nerves system, political system, gravitational in-form-ative forces).

This simple dual system IS the minimal, fundamental particle of the Universe. Since it is obvious that machines are also organisms.

Indeed, a machine is an organism of metal fast evolving through the customary ages of all organisms – in the XIX c. ‘humans’, who catalyze their evolution did its bodies of metal, then its hearts-engines, in the II Industrial evolution, then its metal-minds in the XX c. and now in the Industrial r=evolution 4.0 put them together in organic robots.

So mechanism, the underlying philosophy of physical sciences, is just a simplex version of organicism. It is not man who resembles a machine, but the machine, which is made to the image and likeness of life organisms:

In the graph, evolving machines can also be modeled with the concept of an organism.

Why then organicism has remained in the modern time, a fringe theory, to mechanism, even if it was the first theory of reality put forwards by Aristotle, the father of the experimental method and logic science, in his magna opus the Organon?

There are obvious cultural reasons – we live in the age of the machine and so the machine has substituted man, an organism, as the measure of all things.

But the deepest reason of them all is the fact that to make an organism we need at least two ‘arrows’ or ‘motions of time’, entropy, locomotion, the one used by physicists but also INFORMATION, form-in-action, formal dimensions, which physicists have always ill-understood, to the point they call it negentropy, the denial of entropy.

Only then when we properly define information and add it to the mix, we will have the required elements to refund philosophy of science on far more rational, basis, that the present ‘mixture’ of mechanism and creationism (either of verbal language as in religions or digital languages, as in the religion of mathematics).

But what is entropy and information, in simple self-evident terms? The answer is obvious: entropy is motion, and motion is time, change. And information is form, and form is dimensional space. Time=motion and Space=dimensional form become then the two substances of which all what exists is made, and in their analysis we must start our inquire about why indeed the Universe and all its parts are a fractal super organism of time=motion=entropy and space=form, made to the image of its whole.

The proofs? That is the easiest part. Look around you, all what you see are forms that occupy space, and move in time. Everything you see is a form of space with a time motion. There is nothing else and so all is a proof that reality is indeed made of space-time organisms, as the motto of this web says. But this is only the starting point of an extraordinary adventure of the mind… ad

General Systems: 5th dimension metric and the nested super organisms of the Universe.

New scientific ideas never spring from a communal body, however organized, but rather from the head of an individually inspired researcher who struggles with his problems in lonely thought and unites all his thought on one single point which is his whole world for the moment.

Planck on the informative seed or mind that will reproduce and evolve into a larger super organism or mental world.

For those with little time, a brief introduction to a subject that could easily fill an encyclopedia Britannica:

The Universe is a fractal scalar, organic system of 5 Dimensions of space-time. The fifth dimension is made of the ‘different co-existing scales’, which from the simplest forces through particles, atoms, molecules, matter, organisms, super organisms, planetary systems and galaxies, create an ‘organic network structure’, which amazing enough since it was discovered at the beginning of science with telescope and microscopes, was not formalized till I introduce its metric equation in the milieu of systems sciences.

In mathematical science for a dimension of space-time to exist, it requires a metric equation, which combines space, and time to gives us a co-invariant system that allows to travel through such dimension. The fifth dimension has a ‘metric equation’, hence it exists. The equations for a given number of scales co-existing in an organic network is S (size in space) x T (speed of time cycles) = Constant.

Stiences study the Disomorphic laws of species, each one focused in a scale of the eusocial 5th Dimension, with different jargons, which we shall unify as all what exist is homologic, made of the same Dimotions, which force them to exist as part of super organisms tracing worldcycles, with a ternary structure in space, time and scales, guided by a still, linguistic mind, which projects its smaller mirror images of form in its territorial body waves, creating its fractal scalar structure, broken though by the entropic limits of its perceptive reach. Above the main scales of the nested superorganisms of the human island-universe: the galatom, where nested thermodynamic planets exist, where nested human social organisms self-centered in visual, verbal, mathematic and logic minds create its order with social and mechanical memes, carried by individuals where nested cellular systems exist, coded by genes, made of even smaller atoms and particles coded by quantum numbers. Yet all those scales are unified by the co-invariant metric equations of each of its synchronous time clocks.

It means when we become smaller within such organic network, our time clocks accelerate. And vice versa. For example, in your organism the equation relates the cellular genetic scale, whose time cycles run much faster than your biological cycles. As information is stored in the form and frequency of time clocks, it follows that in all nature’s organisms, smaller systems code the information of larger systems.

Each ‘stience’ therefore specializes in the study of a nested super organism, or scale of the fifth dimension (∆±¡), We study 3 fundamental super organisms of the 5th dimension. The ‘galatom‘, whose metric equation is H(Planck constant of angular momentum) x C (speed of light) = C, whereas h is an obvious ‘cyclical time clock’ and C an obvious measure of speed-distances in space. And indeed, smaller scales have faster turning particles, and larger systems move in slower cycles. (Vortex law: Vo x Ro = k).

In biology we study families of animals such as mammals where larger organisms have slower metabolic cycles. In history we study social organisms, whose cycles of life and death, will define the evolution of nations and civilizations. And in each of those organisms, smaller systems code larger ones. So the quantum numbers of particles code matter, genes code biologic organisms, and memes code societies.

We define them two fundamental systems one in space and one in time, taking place in the fifth dimension:

An entangled super organism in space, in which the synchronicity between 3 scales of the organism, its atomic/cellular/Individual, thermodynamic/organic /social and gravitational/ecosystemic/global scales in physical/biological/social organisms form a complex interacting, entangled system we shall call a super organism, whose study discovers ‘Isomorphic=equal laws’ regardless of what kind of system we study. Because the system is entangled, and made of 5 obvious components, we need a new logic, ‘pentalogic’ as all the elements communicate and interact together. Those elements common to all systems of nature are identified as:

space‘, ” §paœ that is ‘types of dimensional form’, and we find to have 3 only ‘topological varieties’, which perform 3 clear organic functions in the super organism, lineal limbs/fields that move the system, hyperbolic body-waves that iterate its forms and spherical particle/heads that gauge information/

Time, that is types of ‘motion=change’, those organs perform, which are locomotion (limbs/fields), reproduction (body-waves) and informative gauging (particle/heads), which dominate each of the 3 consecutive ages of the being (young motion age, mature reproductive age and old informative age).

Scale, the 3 aforementioned  scales for any super organism

Mind. And this allow us to identify a ‘center that process’ information from the outer world, and controls the internal networks of the system, with a given language, which we shall call a mind, regardless of its automatic processing or consciousness. As it coordinates and maintains the whole as a single system performing actions of control of the energy and information of the system. So we find gravity centers, chips, brains, DNA nucleus, black holes in galaxies, etc. etc. Indeed, there is always in any stable organic system, a relative still, self-centered mind, which we shall discover all systems do have, even physical systems, which have centers of gravity, centers of charge or crystal systems, which maintain the whole.

Entropic limitsIn time called death, in space, called membranes, in scales as systems loose control beyond to scales and in fact death is defined by a simple equation of dissolution of two scales of information, ∆1<<∆-1.

All this allow us to define any system in time, by its life and death cycle which we shall call a worldcycle (taken from 4D physics, worldline, which now with a new dimension becomes a worldcycle. Since indeed any scalar super organism’s existence can easily be defined as a travel through the 3 scales of the fifth dimension, as all systems are born as a seminal, smaller form, in the ∆-1 lower scale, grow fast with its faster time speed, emerge in the ∆º body scale and are part with its head/particle of a larger social world, in the ∆+1 scale.

How then a system travels through those scales? Very simple, it does so accelerating in its life cycle, emerging, living in the larger world, and then dissolving back to its parts in the death moment:

And amazingly enough with this simple scheme of 5 pentalogic elements, tracing 3 relative worldcycles, the first  ‘placental worldcycle’ as it evolve in the relative safe ‘womb’ of a maternal system, the life cycle, as it tries to survive in an outer ecosystem, and for the most organized systems, a 3rd worldcycle as it forms part of a larger super organism, we will be able to order everything in the Universe, every event and every phenomena, which the researcher has studied for decades.

The existence of a new dimension of space-time is the most important discovery of science in a century, since Einstein formalized the fourth dimension, but this expansion and formal organization of science is much wider as it applies to all sciences, not only physics.

So we study further the nested super organism of mankind history in its 3 scales, the individual human being, the nation or civilization and mankind as an ideal global super organism, which if humans were intelligent and ethic enough they would design with the laws of super organisms in a much more efficient manner than our corrupted economic=blood system of reproduction of goods and political=legal-nervous system of information and coordination of its citizens-cells.

So this is most important upgrade of spacetime theory since Einstein’s 4D formalism – which corresponds to the limit of 5D metrics in a single scale, that of the galatom’s light spacetime.

Yet the blog is extremely extensive in its scope and due to the fact it is the work of a single researcher, by force incomplete. It is the ‘first seed’ of a new paradigm of philosophy of science.

The blog in any case divide in 4 lines, which try to develop the model for the main superorganisms of the Universe and its parts, the galatom (physical superorganism that stretches from a planckton – a Planck constant – to a galaxy) and within this ‘nested organism’, the Earth, a superorganism which has both geological and biological nested superorganisms in its surface, of which we study according to the arrow of increasing evolution of information 3 ages, the life age of Gaia, the human age of History and the machine age of the FMMI system of company mothers that reproduce and evolve machines of information (Financial media system) and energy (Military-Industrial system) or ‘Metal-earth.

The study follows a simple scheme. The first line is a sentence that explains in space the 5 components of all superorganisms, and how they are studied in each scale by a different ‘stience’ (space-time science), in its spatial form and its reproductive and evolutionary worldcycles.

The Ðisomorphic method studies in a vital, sequential time manner the 3 worldcycles of all Space-time supœrganisms (T.œs):
þ: 0-1: its palingenetic o-1 social evolution in the accelerated time sphere of existence, till becoming 1 (0-1 bounded unit circle in ¡logic mathematics; quantum probability sphere of particles in physical systems; palingenetic fetal age in biologic systems; 0-9 memetic learning childhood in social systems). It is the highly ordered world cycle as the ‘placental mother-energy world’ is nurturing, and memorial cyclical spacetime has erased errors of previous generations. We thus use for the 1st world cycle, the informative Dual Isomorphisms, of the mind-seed (@ MENTAL Ð¡isomorphisms), as 0-points are generated (0th isomorphism,•) to follow the GST, Fractal Generator equation or program of existence of the Universe (1st Isomorphism,Γ), which will allow the being, in the energy-rich placenta to perform asymmetric space-time actions (2nd and 5th, DIMOTIONAL Ð¡somorphisms, ß,å) of energy feeding, reproduction and social evolution, to imprint the information of the seed as the system growths in Space (SPATIAL Ð¡somorphisms) and develops its 3 physiological networks (3rd isomorphism,ψ), which finally merge, into a whole one that emerges (4th isomorphism) into:

– c: The outer 1-∞ world, in which it will deploy its 2nd world cycle of existence in an environment which is open, entropic (1-∞ hyperbolic unbounded Cartesian plane in ¡logic mathematics; thermodynamic entropic statistical molecular populations in physics; Darwinian struggle between populations in biology; idol-ogic dog-eat-dog capitalist, nationalist competitive eco(nomic)systems in the super organisms of history. In this 1-∞ existence the world cycle is not ensured to continue, as it can be cut off by the entropy of the world system.
We thus study the second world cycle with 3 sets of Ð¡isomorphisms, slightly different to those of the o-1 sphere; as the individual now will have to exercise in time guided the mind (no longer a passive seed), its survival will choosing its actions of existence, (5th isomorphism, common to both worldcycles, albeit now defined by the active mind), that will determine in a cumulative sum, its 2 TIME Isomorphisms: the duration of its ages (7th Ð¡isomorphism: Ω), further subdivided in space-time quanta (9th Ðisomorphism: µ), as it exists through its 2 EXISTENTIAL ¬ D¡somorphisms, as a member of a species, (6th D¡isomorphism, œ) itself a superorganism, albeit with a higher entropic, disordered structure, living in an entropic world or ecosystem with other species (8th Disomorphism), trying to DEFY THE ENTROPIC LIMITS OF TIME duration (7th Di) and spatial territory (8th) imposed by a higher social order and control its world, through:
ω: The 3 final SCALAR D¡isomorphisms (∆) taking place outside the being, existential life cycle, as part of a larger world of hierarchical social scales (§), as it performs those actions through ∆±4 Planes self-centered in its mind, beyond which it cannot longer perceive, to become if successful a new superorganism of the infinite planes of God, the game of existence, (11 Disomorphism).
Thus to ‘travel through the 5th dimension of space-time’ is the ultimate meaning of existence – an ordered sequence, departing from an ∆-1 seed (fractal point), which generate as it emerges from the o-1 unit sphere into a larger 1-∞ Universe 3 physiological networks that become an ∆º individual of a larger ∆+1 world, where it will live through 3±2¡ ages, in 9×9 quanta of space-time, interacting with other members of its species through decametric social scales as part of a lager super organism, self-centered in one of the 9 stientific planes of reality, in which it perform those asymmetric actions of survival (aeiou:motion, energy feeding, information, reproduction and social evolution).
C: Can the being as part of a loose superorganism, which is its species transcend into a new whole in its  3rd world cycle? in very rare cases an @-mind will perform a perfect game in a friendly world and will transcend into a 3rd ‘life’ of metaphysical reality (the squared complex plane in ilogic mathematics, matter that becomes the solid central crystal or Einstein condensate state of a cosmic body, mutation that originates a new species in biology, prophet that transcends as a wor(l)d god imprinting mimetically the believers of a global religion in social systems).
Ω: And then in the largest nested superorganism we perceive, ‘ascend’ as a black star @ the center of a galactic plane, emerging as a galatom’s proton in a larger hyper-universe, in which as the immortal particle will have reach the maximal state of the game of exis=t¡ence that evolves parts into wholes we call Γ∞∆ which exists without location as we are all made to its image and likeness, without limits of entropy as it is the immortal 0-sum of all finite, fractal exist¡ences and ∞ in its uncountable ascensions through decametric scales of space-time, each of them slightly different in its details, all of them made of traveling fractal ∃xistential ¡logic points.

In the second line we study those superorganisms, which unlike in physics that highlights them by size, exploring the smallest and largest scale of the galatom as if they were more important, follows the nested model according to which since all superorganisms follow similar laws, and in organisms, survival matters, the most important are not the largest/smallest but the ones closer to us, human beings, so we dedicate more space to the study of the 3 ages of Earth, the superorganism we live in and even more to the internal mind-languages of man, which study the bio organic scalar properties, topologic mathematical spatial properties and logic, temporal properties of all those fractal organisms. Even so, in the first post of the second line, the galatom, we prove the scalar nature of big-bangs, from beta decays to a hypothetical universal scale, but studying in detail the proofs, we discharge a possible universal big-bang, and settle for a rather more pedestrian quasar cycle of galactic big-bangs, as most of the big-bang proofs are local, and fit better with the data of quasar cycles, and the natural balance between the implosive vortices of information (galaxies) and the expansive vacuum space between them.

So we study further the nested superorganism of mankind history in its 3 scales, the individual human being, the nation or civilization and mankind as an ideal global superorganism, which if humans were intelligent and ethic enough they would design with the laws of superorganisms in a much more efficient manner than our corrupted economic=blood system of reproduction of goods and political=legal-nervous system of information and coordination of its citizens-cells.

Unfortunately the human superorganism is a trial and error system born from a series of memetic mutations which is NOT well designed and for that reason it is as wrong mutations are in all scales, becoming extinguished by lethal goods (weapons), broken into wrong sub-species (nations), parasited in its blood-monetary system (capitalist finances) and finally ‘censored’ by the wrong systems of power, which prevent a proper social sciences and r=evolution to create an immortal perfect history in control of both Gaia and the metal-earth

Then in the third line we study dynamically the superorganisms of the Universe through time, through its 2 or 3 worldcycles, and the sentence stops in 12+1 Disomorphic similar laws for all those worldcycles, as all systems are born of a seed of information that ‘expands’ (beta decay that creates atoms, seeds that create biological organisms, prophets that create civilizations, black hole quasars that create galaxies), and then follows a ternary placental, organic and worldcycle of existence, to finally die back…

So in the fourth line we meant but have been unable to do it alone, to study all the sciences and systems known to man with those 12 disomorphic laws in what wanted to be an encyclopedia of science, but without help from any University I gave up on writing properly.

Indeed, as we said, this researcher is within the organism of history and a vocal critique of its corrupted networks and idol-ogies of mechanism – machines not organisms as the measure of all things; nationalism – military nations not humanity as the unit of the species – and capitalism, parasitic banking, not a proper blood-system that feeds and gives money-oxygen to all humans as any reproductive system does in a well designed superorganism.

But unfortunately a body cell is blind and only receives information from its head.

So mankind seems perfectly programmed to do what it does best, ensemble machines, evolve the metal-earth, kill Gaia and on top thinking is so smart doing that, rejecting any attempt to humble her, made her respect the organic laws of the fractal Universe and build a world made to the image and likeness of those laws in which it could thrive as an organism and survive.

L§, ¡man

‘Electricity and magnetism. Its 12 Disomorphisms.”

¡+1: Social ¥e: electromagnetism.

Electrons. Its 12 Ðisomorphisms.

•: The electronic seed: Beta Decay.

Γ: Generator equation: the worldcycles of electrons.

β:  Space-Time symmetries. Its Metric equation. Space=atomic state. Time=electric state.

ψ: Networks of electrons: States of Matter. Electric and magnetic flows.

∃: Emergence: Neutrino theory of light. Social evolution of light.

å: Light actions

œ: Light species. Polarization.

Ω: Light ages. The horizon limit.

θ: Light in the world of atoms

Ξ: Neutrino plane, light plane, atomic plane.

§:Social light: Frequency and Colors.

∞: Light evolution into electrons

∞: Light death into neutrino background.

# ¡+1: Social ¥e: electromagnetism.

When dealing with the ‘scales’ of forces that ’emerge’ one from the other, and its disomorphisms of position=space and motion=time, the key questions is to consider how forces predate into each other, and how they combine complementary in symbiosis to form a single ‘whole’.

The most obvious case of study, because it happens in our scale along the thermodynamic equations of energy are those of Electromagnetism, which become both the social scaling of the electron (electric current) and its ‘predation’ into ‘form’ by the magnetic field as a bridge towards the emergence of the mass field. So the scaling here is obvious:

Electric field/force-> Magnetic field/force -> Mass field/gravitation.

Let us consider then Heaviside equations of electromagnetism:

$\begin{array}{ll} i)&\nabla \cdot \vec{E} = \frac {\rho} {\varepsilon_0} \\ ii)&\nabla \cdot \vec{B} = 0 \\ iii)&\nabla \times \vec{B} = \mu_0\vec{J} + \mu_0 \varepsilon_0 \frac{\partial \vec{E}} {\partial t}\\ iv)&\nabla \times \vec{E} = -\frac{\partial \vec{B}} {\partial t} \end{array}$

In these equations $\mu_0$ and $\varepsilon_0$ are physical constants, equivalent to Q and G, related to 5D metric that dictate the  capacity a volume of space-time has to carry electric and magnetic forces.  So, taking them as units we have:

$\begin{array}{ll} i)&\nabla \cdot \vec{E} = \rho\\ ii)&\nabla \cdot \vec{B} = 0 \\ iii)&\nabla \times \vec{B} = \vec{J} + \frac{\partial \vec{E}} {\partial t}\\ iv)&\nabla \times \vec{E} = -\frac{\partial \vec{B}} {\partial t} \end{array}$

Where:

$\begin{array}{ll}\vec{E} & \textrm{Is the electric field}\\\vec{B} & \textrm{Is the magnetic field}\\\vec{J} & \textrm{Is the electrical current}\\\rho & \textrm{Is the density of electric charge}\end{array}$

To show the TOPOLOGICAL HOMOLOGY of all scales, we shall compare the electric and magnetic fields, “$\vec{E}$” and “$\vec{B}$“, with any thermodynamic fluid.  So we can easily understand the homology of the 3 type of ‘space-time vortex:

The equations group as 2 equations of Divergence ($\nabla \cdot$) which measure  how much a field comes together or flies apart in bidimensional space. So in the homology if “$\vec{W}$” is the flow of water or wind on the surface of the sink:

Positive divergence means that the field is “flowing” out of a region.

Negative divergence means that the field is “flowing” into a region.

When the divergence is zero, then the amount that “flows” in must be equal to the amount that flows out.

Curl is how much the field “twists”.  In a whirlpool or a tornado all of the curl is in the center funnel, and the field (wind) wraps around where the curl is.

If W is the way the wind is blowing, then the tornado is the curl of W. Curl is the “twistiness” of the field, which points around the curl. Although the wind around the tornado is moving, all of the twisting is happening only at the tornado itself.

i) $\nabla\cdot \vec{E} = \rho$:

This first equation simply states that electric field lines ($\vec{E}$) only start at positive charges ($\rho>0$), and only end at negative charges ($\rho<0$).Electric field lines only begin and end at charges. Any region that contains no charges (or an equal number of positive and negative charges) will have the same amount of field lines entering it as exiting.

If a region contains no charges, then the number of field lines entering it is the same as the number of field lines exiting it.  Again, “field lines” don’t exist.  They’re just a really useful metaphor.

ii) $\nabla \cdot \vec{B} = 0$:

This is the magnetic version of the electric equation above.  This states that magnet field lines never begin or end.  Instead, they must always form closed loops. If  magnetic monopoles (“magnetic charges”) existed, then this equation would look exactly like (i).  However, there are no magnetic monopoles. The conclusion then is obvious: the magnetic field is the ‘membrane’ that predates the electric field and arises from it, creating an enclosure in a larger space, that ‘absorbs’ the energy of the electric current and the electric field creating a ternary ‘t.œ’, such as:

Electric field potential (∆-1: ∑ρ) < Electric body: current (∆o: J) > Magnetic field: head (B)

So we have the superorganism of electromagnetism in place. Whereas the magnetic field must ‘exist’ activated by both, its ‘electric body-current’ and its ‘Electric field: potential/limbs. And this is the next Heaviside Law, which shows the Magnetic field to ‘be fed’ by both, body and potential limbs:

iii) $\nabla \times \vec{B} = \vec{J} + \frac{\partial \vec{E}} {\partial t}$:

The “J” part: $\nabla \times \vec{B} = \vec{J}$  states that magnetic fields (B)  curl around electrical currents (J), containing them:

So, an electric current is homologous to the funnel of a tornado, and the magnetic field is the wind whipping around the funnel, caused by it.

While the second part of the equation: $\nabla \times \vec{B} = \frac{\partial \vec{E}} {\partial t}$ means the magnetic field is also fed by the electric field that feeds the current. As a result,  current ($\vec{J}$) and changing electric fields ($\frac{\partial E}{\partial t}$) create curl in magnetic fields; $\nabla \times \vec{B} = \vec{J} + \frac{\partial \vec{E}} {\partial t}$

iv)$\nabla \times \vec{E} = -\frac{\partial \vec{B}} {\partial t}$:

But in any system of nature, bodies and heads are complementary, while both ‘feed’ on the ∆-1 limbs/potentials. And so the electric field MUST get back from the magnetic field part of the motion the cyclical magnetic ‘particle’ so to speak, gets from the electric potential, in a similar quantity but with an inverse direction signified by the negative sign. So like the last equation, this equation states that a changing magnetic field creates curl in the electric field: If you have an electric field that curls in a circle, then you can generate current and electrical power.

A changing magnetic field creates curl in the electric field. So if you increase the magnetic field through a loop of wire, there will be an electric field along the wire (tornado makes wind along the fence). When an electric field runs along a wire it pushes charges along it. Induced current!

So if you’ve got a loop of wire sitting next to a magnet, there will be no current.  But, it you move that magnet, the magnetic field through the loop changes, and there will be current: $\nabla \times \vec{E} = -\frac{\partial \vec{B}} {\partial t}$

Unlike in equation (iii), there’s no “J” moving electric charge or “magnetic charge”, since then you could have “magnetic current”, and there would be a magnetic current term in equation (iv). But because a loop is a fractal point with width observed from a larger scale, when we move ‘upscale’ to the mass field, the magnetic field will be ‘seen’ from the cosmological scale as a ‘magnetic monopole’ from the relative larger scale of the mass enclosure and so it will also contribute (Relativity) to the mass scale.

The speed of light: Since Heaviside’s equations impliy that changing electric fields created magnetic fields (iii) and that changing magnetic fields created electric fields (iv), electric and magnetic fields can sustain each other without the need for electrical charges or currents, by predating in symbiosis the lower electric potential; and so we might wonder what is that lower ∆-1 potential from which both obtain motion, and it is indeed the lower ∆-1 photon/light space-time (particle/wave duality), which forms the background space-time of the galaxy.

And so it should be evident that this lower potential light space-time is the plenum/body from where all other scales will arise and as such the minimal form of information, and maximal speed of reproduction of both the magnetic and the electric field; whose derivation by Maxwell (the other 4 are ‘Heaviside equations!!’) is simple as we can eliminate Charges, to study this background spacetime alone, so, with Maxwell’s equations in vacuum  with no charges, no currents, give us:

$\begin{array}{ll} i)&\nabla \cdot \vec{E} = 0 \\ ii)&\nabla \cdot \vec{B} = 0 \\ iii)&\nabla \times \vec{B} = \mu_0 \varepsilon_0 \frac{\partial \vec{E}} {\partial t}\\ iv)&\nabla \times \vec{E} = -\frac{\partial \vec{B}} {\partial t} \end{array}$

So we solve for the electric field,  taking the time derivative of (iii) and then plugging in (iv) yields:

$\begin{array}{ll}\mu_0 \varepsilon_0 \frac{\partial \vec{E}} {\partial t} = \nabla \times \vec{B} \\\Rightarrow \mu_0 \varepsilon_0 \frac{\partial^2 \vec{E}} {\partial t^2} = \nabla \times \frac{\partial \vec{B}}{\partial t} \\\Rightarrow \mu_0 \varepsilon_0 \frac{\partial^2 \vec{E}} {\partial t^2} = \nabla \times \left( -\nabla \times \vec{E} \right)\\\Rightarrow \mu_0 \varepsilon_0 \frac{\partial^2 \vec{E}} {\partial t^2} = -\nabla \times \left( \nabla \times \vec{E} \right) \end{array}$

Whereas by Vector calculus: $\nabla \times \left( \nabla \times \vec{A} \right) = \nabla(\nabla \cdot \vec{A}) - \nabla^{2}\vec{A}$ So:

$\begin{array}{ll}\mu_0 \varepsilon_0 \frac{\partial^2 \vec{E}} {\partial t^2} = -\nabla \times \left( \nabla \times \vec{E} \right)\\\Rightarrow \mu_0 \varepsilon_0 \frac{\partial^2 \vec{E}} {\partial t^2} = -\nabla(\nabla \cdot \vec{E}) + \nabla^{2}\vec{E}\\\Rightarrow \mu_0 \varepsilon_0 \frac{\partial^2 \vec{E}} {\partial t^2} = -\nabla(0) + \nabla^{2}\vec{E}\\\Rightarrow \mu_0 \varepsilon_0 \frac{\partial^2 \vec{E}} {\partial t^2} = \nabla^{2}\vec{E}\\\Rightarrow \frac{\partial^2 \vec{E}} {\partial t^2} = \frac{1}{\mu_0 \varepsilon_0}\nabla^{2}\vec{E}\\\Rightarrow \frac{\partial^2 \vec{E}} {\partial t^2} = \left(\frac{1}{(\sqrt{\mu_0 \varepsilon_0}}\right)^2\nabla^{2}\vec{E}\end{array}$

And since $\nabla \cdot \vec{E} = 0$  we get the general wave equation: $\frac{\partial^2 \vec{A}} {\partial t^2} = v^2\nabla^{2}\vec{A}$, where A is a wave, and v is the propagation speed of that wave.  So, the electric field E, propagates as a wave at $v = \frac{1}{\sqrt{\mu_0 \varepsilon_0}} = 2.99 \times 10^8 m/s$(light speed). And since by Galilean Relativity all physical laws are independent of how fast you’re moving C speed is independent of how fast we’re moving as Einstein realized to buld its  Relativity theory.

The Rashomon effect on electromagnetism. Ternary arrows of time: st-fields, s-potentials and t-charges.

Nt. We use often the term field instead of potential to describe the entropic scale, ∆-2 from where a system obtains its motion, as physicists tend to confuse both terms. Probably it would be better to use the term ‘potential’, instead of field, which I will from here on -T.œ being always in flux as it is the singularity-mind still of a single human being):

It follows from what it has been said, that there should be at least 3±1 formulations of the electromagnetic field in terms of the 3 arrows of time, as it is the case:

S-Potential. ST-field, tƒ: charge: three approaches are customarily discussed, as the equations are in terms of electric and magnetic vectorial fields (present wave, st, the commonest), potentials (fields proper, the entropic, scattered solution), and charges with currents (the tƒ solution).

It should be notice that the Potential \$pe description must have less ‘dimensions/ parameters’ than the wave description. As a general rule deduced from the properties of space and time, ‘entropy has the minimal number of dimensions, 2, for each ‘bidimensional field’, in this case 4 parameters; while the ST-liquid/wave description as a general rule must have the whole S≈T ternary symmetry effect, 3+3 parameters. And such is the case, the electric and magnetic fields together had six components to solve for. In the potential formulation, there are only four components:

the quantum potential

While the above presentation introduced the guidance equation as fundamental, the quantum potential For the phase of the wavefunction  holds:

∂S (∇S)² h²∇²R −∂t=2m+V−2mR .

Due to the similarity with the classical Hamilton-Jacobi equation (for the action S) the term ∝ h ̄2 has been baptized quantum potential . Within the Hamilton- Jacobi theory the particle velocity is constraint to m·v = ∇S, which corresponds to the guidance equation of the de Broglie-Bohm theory. If one adopts the quan- tum potential formulation the motion along the Bohmian trajectories can be thought of as taking place under the action of a novel quantum-force . However, the guidance equation can be motivated e.g. by symmetry arguments (Dürr/Goldstein/Zanghi, 1992) and needs no recourse to the Hamilton-Jacobi theory. Moreover, in Goldstein (1996) it is argued that the quantum potential formulation is misleading since it suggests that the deBroglie-Bohm theory is just classical mechanics with an additional potential (or force) term. But the deBroglie-Bohm theory is a rst-order theory (i.e. the velocity is constrained by the position already) and this important trait is disguised in the quantum potential formulation.

Whether this ambiguity in the formulation of the de Broglie-Bohm theory should be viewed as a substantial debate or a secondary matter depends on the context. These two readings of the theory have certainly a great deal in common and in comparing the de Broglie-Bohm approach with standard quantum mechanics the distinction between these di erent schools is usually irrelevant. However, more detailed discussions which involve subtleties regarding e.g. the status of the wavefunction or particle properties have to pay attention to these di erences.

∆§: The four fundamental approach in classic electromagnetism is the current description, which is the social scaling of electricity.

• The mind approach, includes the human pov deformation from the perspective of our tools of measure. It is  the 4 vector solution of relativity, which roughly speaking can be considered the ∆• mind solution as it introduces the paradoxes of ‘mind stillness’ in the measure of beings (paradox of Galileo).