between_layers.rst
between layers
Understanding and consciousness is to compare. And I like to start
with physics when placing something in the information space of my mind.
That might look a bit out of context for some topics, but I don’t see
physics only as the study of relations between measurements, but rather
a philosophical approach, a method of epistemology. The following
thoughts were starting points for musings on economy, a topic of current
interest to me.
I’ve realized since quite some time that not seeing the bigger
picture makes physics dogmatic. For example when saying “the kinetic
energy is
”:
It is wrong as a general statement. It is practical in the sense that if
a body is stopped to a halt, that energy is transmitted. But as a state:
an inertial frame moving with
has no distinction from a body at rest, and therefore has no energy.
Here I place the
- split of energy into kinetic and potential energy
as a
- connection between layers.
Spacetime
- energy
-
Energy is the rate of change of something, the frequency.
- space
-
The something that is changed with the frequency.
Space is physically not existing without a change, without a time.
Therefore also “spacetime”.
Space is not the vacuum, not the space with nothing in it. Space is
something that changes or cycles in a lower layer. Space is energy at a
lower layer. Space is associated with matter and matter has mass and
mass is energy. So space is also energy. We make the distinction in the
mind, but physics comes with equations that uncover them as one. The
method makes sense, to coordinate our mind variables with reality, but
this description and the reality as such are different things.
From the macroscopic viewpoint, not looking at the nucleus, not
looking at the strong force, all matter is electromangetic. A photon can
be considered matter. A photon is the change of electric and magnetic
components in the electromagnetic field. We live in an electromagnetic
world.
Field
is a mapping from our
to reality. We cannot assume the space in our mind is reality. No, the
field is the real space. We coordinate it to our mind space via the
equations of motion, plus further restrictions (guage: which potential
with same
and
).
A coordinate whose mapping stays constant (symmetry) is like saying that
it maps to a property intrinsic to the object, like
to Hamiltonian
,
or
to momentum
.
(Noether).
So what is a field? The field is the real space, well spacetime of
course, because it is an evolving system and does not exist without the
changes of it. The field is the reality, and that is local. The field
can be
or
,
but it can as well be a biological system, in the more general idea that
changes happen locally and form the system. In our mind we can say: Oh,
see that star, as if we would see something that existed now, when
saying it. We can look at the road while driving, see nobody, look at
the phone, and have killed somebody.
T-U split
- work
-
Work is the additional rate of change due to some influence from a
another/remote/below system.
Work is change on this layer, extracting energy from layers below.
“Below” shall define the source of energy, not actually below. The sun
is above, but would be below in the layer idea, being a source of
energy, to make changes in this layer, the layer of interest. Work can
be seen as extraction process to produce change “here”. But intentions
in “extracting” is of course judging and very much a mind thing.
- force - potential energy
-
We start with the energy source, corresponding to a change “there”.
This is also called potential energy
.
In the context here I might call it remote/below energy. Then we map
this to a change “here”
().
is a local change and as such a local time step. A force is a local
change due to an remote energy source, the influence depending on the
location
:
.
- momentum - local energy
-
We start with the local change without the external influence. I call
this the local energy
,
but is also called kinetic energy. In classical physics there was the
idea of something
()
moving in a straight line
(uniform motion, momentum). But we have to generalize this, because we
realize there is no actual uniform motion to be found. It was just a
local mental simplification due to the limited observation space. By
comparing
to a clock change
we had left physics already – which is fundamentally local, and had gone
to a mental comparison process. Both
and
have by chance units or our choice, but
is detached, a different system, we compare to. Rather we should think
of
as a (cycling) trajectory (geodesic) without the energy extracted from
another source
().
Uniform motion and inertial frame becomes a local simplification on the
geodesic, a linear coordinate system for our mind. Seeing change/energy
as fundamental, one would fix the mental unit of change
and see
as the size of the according local change
(local space). The linear
projection from remote mental
to local reality
would change along the geodesic. The more general momentum is this
change of spacetime projection
.
- time - energy
-
(Euler-Lagrange),
,
,
.
The idea is that energy is change, be it of remote origin
or of local
,
and therefore additive, with total constant Hamiltonian
,
while the Lagrangian
denotes local rate change
,
represented by the change of the mapping
,
due to the remote
influence at
:
.
The closed system has constant total action
.
The action can be seen as information of the system (the local chain of
time steps). The energy or Hamiltonian
is the local time steps compared to our clock
(Hamilton-Jakobi equations), a rephrasing of Hamiltonian
as the Legendre transform, using
.
Hamilton equations show this H as timing of the system:
,
.
Seeing the time and space physically inseparable (spacetime), I
prefer to start from time, i.e. the local rate of change, i.e. from
energy, saying: The source energy
is more fundamental physically, than the force
.
But if you want to overlay human intention, you could say: exert force
along
to extract energy
,
which kind of fits to a mind trained by evolution to control. Work can
be defined as extracting energy from lower layers, not meaning
necessarily physical work, moving things, by seeing
as any local change in
,
not a change of space coordinates. We can also say work is the energy
lost from layers below. Wording does matter socially but the physical
system is “unaware” of them.
Every new force is a new layer that cycles, if not stopping the layer
below, where the potential energy
comes from, but rather adding a new dimension to which lower layers are
bent.
- The T-U split is the link between layers
- U: energy of layer one
- T: and energy of layer two
In the energy bill actually only
is mentioned. That is what you pay for, be it food, be it
electricity.
Physics of control
Close systems do not exist, other than as a mental approximation. The
T-U split is between two layers already. Such systems last for a long
time, think of an atom or of a star system. In reality of course more
than two systems interact. But the two-system is the minimal interface,
a great starting point for a description, like the bit to describe all
kinds of information. Minor other interactions can be practically
handled as a direct time dependence of a change, i.e. not associated to
an actual localized spacetime change. This of course is a mind method, a
mathematical method, not a reality.
In higher layer systems, in biological systems, in economic
systems,
- the extractable energy
varies along
,
the local spacetime
- On the expense side the systems have a rather constant energy
dissipation.
Such systems harvest more than needed at any point in spacetime and
save it in more local buffers, like in glycogen and fat for animals or
equity/ownership in economy. That makes interactions more localized
between the one cell or a few cells and the energy buffer, between an
individual or a family and the assets under control (control =
ownership).
Loss of energy at “lower” layers creates layers “above”. The layer
above is sometimes called Maxwell demon. I also name this
control_principle, when intending dissipation of energy,
really lost energy, not a back-and-forth interaction that will cycle
forever.
Action as spacetime
The T-U split is the Lagrangian
On can see the Lagrangian
as the local spacetime step, meaning both space and time, inseparable,
but of course with our time as something to relate to. Action
is accumulated Lagrangian
().
If a closed system, as an approximation,
can be seen as the information of the system.
Energy (Hamiltonian
)
is the comparison to our remote time
In our electromangetic_world a constant
says “space and time are the same” and a constant
says “there is not infinity”, there is a smallest step. Most steps sizes
of change are much larger than
,
though.
Here some synonyms of action:
- spacetime
-
spacetime conveys that space (what changes) and time (the change) are
physically one. Splitting spacetime into space and time is a mind thing
and not physical.
- variable
-
The values of the variable are changing, implying both the exclusive
states and their change. A mind variable is physically happening/real in
the mind but might not be mappable to an external world physical
equivalent even if intended.
- particle
-
Particle refers to one spacetime localization (the particle) among
many similar ones (a layer). “This spacetime consists of lower layer
spacetimes” is to say “This particle consists by lower layer
particles”.
Between layer’s: The lower layer’s action change is this layer’s
step/quantum (Hamiltonian
)
by which this layer’s spacetime emerges (Lagrangian). The Lagrangian is
a 2D variable, the components being called potential energy
and kinetic energy
.
While there are more
changes observable (collectively named just
),
they are components of one change in a 2D deterministic spacetime
line. Nature does not do a
projecting to 2D, but rather relation between the many lowest layer 2D
spacetimes produce the mental 3D world. With many independent
localizations, layers of changes, the actual world around us is
high-dimensional, with a 3D substrate.
The action
is the full spacetime extension of a potential-kinetic-cycle. In an
independent cycle the action is constant. Constant action leads to the
equation of motion (Euler-Lagrange Equation):
Every spacetime particle is curved by
.
corresponds to no change, which is synonymous to non-existence. Note the
correspondence between change, existence, spacetime curvature, limited
size and locality.
In the real world of layers,
is not stationary. It changes in
-steps
lost to the layer above:
.
The local Lagrangian becomes part of another change (dependent on
another time) and its 2D curve is not a cycle any more, a spiral
possibly, unless the loss is compensated by an equivalent gain from yet
further down, keeping a particle busy with turnover from below to
above.
The layer above has the same description, but with
- different action
- different time extension
- different space extension
Hamiltonian
is the layer’s time unit. Momentum
is the layer’s space unit. It follows a layer-specific speed
linking space and time via layer specific
.
Special relativity is basically the relationship between layers,
totalling lowest layer spacetime creation speed to
:
.
Total mass is
.
is the masses from layers below.
A potential is an energy gradient
.
It compare mind space
with actual spacetime energy. For electric we would have written
,
and
vertical to that.
In 4D
the Euler-Lagrangian equation is
The space
above have become
.
I like that. More closer to reality. The mapping to our mind variable
happens via
To coordinate with our mind variables is an essential step for a
description.