Meta Maxwell Models - quantum theory and EM fields

1) ontology
2) Mattimathics
3) TGD physics

Electromagnetism and quantum theory
first i found the sub-manifolds;
later i found that the electric filed could be geometrised
The Maxwell theory is linear, simple, with easy solutions
Two fields are unified in one; relativity makes that elegant and beautiful

there are 4 basic linear equations
1) electric charge is conserved; locally
2) magnetic monopoles/charges do not exist
3) dynamics of electric charges (sources of electric fields; as currents)
4) Faraday's law: magnetic field charge motions (used in electric generators)

The gauge theory is important
it describes weak, electromagnetic and strong interaction
Maxwell theory is a limiting case of it (it ignores weak and strong interactions)
This already implied gauge fields; plane geometric surfaces
This was already described as fibre bundles; not explained now

in 2D bundles are easy to understand; as tangent planes
The bundle is formed by assigning a tangent plane to each point on the sphere
The same can be done in time-space - Higgs field is but one example of this.
Te Gauge potential helps describe that (in 4D Minkovski vectors)

Electric and magnetic field can be described in this way; relating points in fields;
That helped understand electro-magnetic fields, in Riemann geometry
That could be looked at differently via sub-manifold models in CP2 8D
This uses spinor fields, and spinor connectors; counterpart of electromagnetic and weak potentials.
This can be projected on 4D Space-Time sheets; thus allows for describing motion: dynamics
This resolves the space-timeless quantum theoretical perspective.

This makes the laws equivalent to hydrodynamic _ with momentum conversation; bookkeeping
as an image..:
submanifolds was the start; after that the other insights, as images, followeds, automatically
I call the resulting view hydrodynamics; because they are like that, with  full conservation.
That led me to a finding i made this year - i could have found it 33 years ago.
There are 4 + 4 + 4 + 4 degrees of freedom: 16.
In CP2, in 4D, only 4 field variables come into play.
In the many-sheeted space-time there is superposition of field from different sources.

We do not need superposition of fields, but only of the effects.
The space time sheets then form parallel space time, 10**-30 [m]
Their interaction/relationship can be compared/correlated/computed
That makes it different from the standard Maxwell Equation
It seems similar to network computing; and system theory

The Meta Maxwell Model elated to  the dynamic hlogram model.
The Maxwell field is now non-linear, projected from CP2
I can take constant magnetic fields, piecewise; as flux tubes.
It is thus not an infinite maxwell space; but quantised
The radiation field composes in rays; same for electric fields
It is topological field quantisation.
Magnetic flux tubes are example, in biology
And light rays

Guage potential has 4 components, with all possible values; cf Minkivski
CP2 is compact; has finite size only
Gauge potential this must be embedded in this; infinite mapped on finite
That is akin to the limitation of classical theory by relativity

The gauge metric is 4D, with 10 components
with all possible values from minus to plus infinity
I apply the Bohr approximation
it is a harmonic induction

Gauge Potential theory are defined in Riemann Geometry
They vector the relationship between two points; for comparison.
The vectors can be compared also; by mapping them on a different space.
I use the same, but now use CP2, which has spinor connections

it has a geometric simplicity
cf Adams geometry of Raum & Gegenraum
Cf also the dual resonance models
now, 4 parameters suffices

what is the mathematics; and how does it become computable?
maxwell theory has now weak charges also; with spin
Gluons can be added, to account for the strong interactions>
Sources ca n be associated with fields
Electrodynamics is a qualisation of/for this; beyond the linear model

the theory is simple; the quage field is quantised, can be calculated
Feynman diagrams can be used
The Higgs field - said to be found, i doubt it - ties in with this.
Their mathematics is horrible, ugly, and not needed in TGD

i can truly solve the equations, and see how they relate to string models.
in 4D, yet solvable, quantisable; it will boil down to precise rules.
Most important is the classical ontology; seen differently
For example: magnetic flux tubes prove to be an important link

cf The Electric Universe.
the core mathematical models/equations
Basically it is the Maxwell equation; but now non-linear
I look for the maxima and minima; and replace E and B by hydrodynamic equivalents

The challenge is to find the solutions without computation
Gravitation needs to be included; making it too complex for computations
I use classical theory - to simplify the situation; and to be able to understand the models.
I found vacuum solutions - that was unexpected - without infinite gauge potentials
Instead i have an analogue, without equivalence; every situation is unique.
There are 4 D spin classes - with vacuum extremes 0 which turns out to be trivial, and important; non-trivial deformations

There is also a solution of string-like objects, with a different space-time property.
They are 4D CP2 forms - in cosmology they are magnetic monopoles with flux tubes.
I get topological monopoles; from the holes in the CP2 formulation
They come in pairs - they are very small

Jones - magnetic monopole device
Rene Thom - curps
The monopole filaments can change in thickness; they are important in biology
They operate between different scales: atoms, molecules, cells, galaxies
The topological light rays are limiting cases
They have CP2 projection, and are magnetic fields AND gauge fields
They preserve their states, in a single direction
The solutions can be generalised

This gives mathematical connections to string equations, with minimal area
They are effectively fields - with elegant solutions
Conformal invariance; offers algebraic identity
With symmetry properties, which are 4D solvable

that describes classical gravitation; as generalisation.
That gives hopes that the model can be generalised
Details are still to be worked out.
These solutions are most important.

Minkovsky space with field variance describes all classical fields
all are connected, in this approach
The field patterns are basic - self-organising/autopoietic best describes them
This represents information; eeg represents thoughts - thus meaning - though reading is possible

electro-magnetic and magneto-electric
closed system, material
open system, informational

Bill Tiller looked into that difference;
magnetic flux tubes are correlates
They connect, across scales and between dimensions
Intent is an example of a flux tube
Flux tubes define involvement

they correlate to negentropic entropy; cognition, information, coherence
nerve impulses represent that same principle/concept

life is the coherencing of flux tubes into ' circuit boards'.
this is the relationship between mathematics and physics
Like CP2/Cell and Flux Tubes / cell divisions
The cell divisions form the body dynamic/coherence
Flux funnels form connections for materialisation

gravitational and electromagnetic are aspects of the same; on the same surfaces
There is only the dynamics of the surfaces; as oscillations
The geometrodynamics gives everything; they are not dual; but one of the same.
The correlates are transformation functions; flux tubes at different scales
are they connecting consciousness: possibly

Light velocity is no problem here.
Observation is part of biology.
Geology is recalculation of proton/electron configurations

the electron field gives ADP-ATP energy
it is a primordial force in life/creation
Thus metabolism is an EM phenomenon.
Biology, and gravity, is an EM dynamic

this is tied in with consciousness
manifestation = computation
next time : lesson for doctors
Then, computing consciousness

light - EM - Chemistry - Physics
flux tube - fractal - 'circuitboard' - 'network'
Flux Tubes are resonant links
(Molecules are signal-spectrum)

1) what doctors know now
2) how Mattimathics might help doctors
3) how TDG might help get there
(there is a theory now)