In simplest terms:
Universal Mind = Universal Eigenvector
In general relativity, there is a formulation called configuration
space, i.e. the superspace, of the geometrodynamics formulation, where
the wavefunctions will be functions over the abstract spaces that
define space itself. The spaces are generally covariant with
"coordinate spaces" being just a convienient modeling tool. There is an
independence OF coordinate systems; the classical geometrodynamics constitutes an algorithm for constructing a leaf history of foliations through superspace in a background independent-interlocking of three geometries.
Coordinates are a convienient means of mathematical modeling, ...but
reality actually defines itself with "events". Events don't happen in
a fixed absolute background of space, or time; events characterize the
evolution OF "space-time".
"The boundary condition of the universe is that it has no boundary",
to quote S. Hawking.
The basic feature of cognitive functions appears to be the simulation
of possible future scenarios via a self modeling process. Memory
corresponds to a simulation of past to present to future plans, with
predictions to the simulation of ever further future scenarios. The
thermodynamic arrow of time shows how time gives a reliable simulation
of the past via repeatable experiments/memories, such, that it is so
reliable that one speaks of actual memories rather than predictions of
the past. The possible nonuniqueness of the classical spacetime and
related classical nondeterminism suggests a possible origin for the
simulatory aspects of consciousness built in to the geometric
structure OF ...space-time.
A person's mind and personality is equivalent to their "software",
that is, to the programming of their brain.
Any software structure can be coded by some large set of natural
numbers.
Every set of numbers exists eternally as a mathematical abstraction
independent of the physical universe.
Therefore each individual's personality is immortal.
According to Mach's principle, a single particle in a bleak void of a
universe, has ZERO inertial mass. An infinitesimally small force
accelerates it - energy is zero because inertial mass is zero, so that
potential energy, mgh and kinetic energy, 1/2 mv^2 are each zero.
Einstein emphasized that a single particle in a void could not have
inertia, for there can be no inertia of matter against space, only
inertia against other matter.
It seems that coordinate independence must hold, and artificial
coordinate "patches" are not really necessary. So a defined "point" in
space-time, must really be an ...event?
There would only be events, related to other events. But all observers
would observe everything else to be in a past moment due to the finite
propagation speed, of light. Proper time would be the only "real time"
So if Einstein says that "the train arrives here at ten o'clock" he
means that the pointing of the small hand of his clock to the ten and
the arrival of the train are "simultaneous events"... where the clock
and the event, are in close proximity.
So a certain definition of time appears to be OK when defining time
for the place where the clock is located, but it is insufficient for defining
time for a series of events at different locations, i.e. to evaluate
times of events occurring at locations remote from the clock.
If for a location A of space, there is a clock, with an observer, and
the observer at A can determine the time values of events in the
immediate proximity of A by observing the positions of the hands of
the clock which are simultaneous with the events at location A.
If at another location in space, point B, with an identical clock, the
observer at B can determine the time values in the immediate proximity
of B. But the time of an event at A cannot compare to the time of an
event at B since a common time for both A and B is yet to be defined.
According to Einstein, the time it takes a ray of light to travel from
A to B equals the time it takes the ray to travel from B to A. Let the
ray of light start at the A time "TA" from A to B, it arrives at the B
time "TB" and is reflected back in the direction of A, where it
arrives at the A time "T'A".
TB - TA = T'A - T'B
A "synchronous" definition of time is arrived at?
2AB/[T'A - TA] = c, the speed of light in vacuum.
Distance is a property between objects in space. Duration is a
distance between events in time. Spacetime is a relational structure;
The structure of space is possibly a distributive lattice. A lattice
is a partially ordered set, closed under least upper and greatest lower
bounds.
The geometric view of physics means that the laws of physics are the
same in every Lorentz reference system. Local Lorentz invariance. But
since the universe has no exterior reference frame, and it must refer
to itself, such, that its overlapping geometry is a computational self
configuration, parameterized by time. The quantized-evolution of
spacetime dictated by GR and QM, means that the past history of then
universe is carried along with the present, for the universe. A
geometric stacking of space like slices, parameterized by t, The
universe is a function of itself.
Spacetime becomes relativistically "compressed". As the time evolution proceeds in the thermodynamic direction of t, the space like sheets continually increase in density. The information storage of space time.
(<-(->(<-(U)->)<-)->)
This increasing refractive spacetime density must be background
independent. The increasing density functions are, in a sense,
equivalent to the non-Euclidean geometry of Riemann and Einstein.
Matter-energy is a form of "event density" where the distribution of
matter-energy determines the geometry of space-time. If there is no
matter energy, that is to say "events", then there is no geometry.
Therefore a body in an otherwise empty universe would have no
intertial properties. Even though Einstein's theory of general
relativity can describe universes that contain no matter, possibly
leading one to believe that GR is not relational - because there can
be space without matter, and there are no material relations that
serve to define space, it is incorrect to make such an assumption. GR
is a theory of fields, and fields vary continuously over space,
forming networks of interactive relations[events].
[1.] Nothingness is a difficult concept, or rather a difficult
"non-concept" since it is ...nothing.
[2.] To say that nothingness exists is to create a contradiction,
since nothingness is non-existence. Nothingness "non-exists".
[3.] Nothingness is non-existence; therefore nothingness is
non-relational. Nothingness has no distinctiveness in and of itself,
hence nothingness cannot be recognizable.
[4.] Being-ness means basically "to be", and to exist. Being-ness
exists.
[5.] Take any two distinct quantities-attributes of existence:
A<------P------>B
A and B perceive each other to be different with perception P. That is
to say A is perceived to be different from B and B is perceived to be
different from A.
A and B are different elements of a larger picture, but they
also[must] share certain common attributes of the larger reality
including them. From that perspective A and B are the same, because
aspects of A transform into B and aspects of B transform into A. At a
higher level of generality and symmetry, A cannot be distinguished
from B, and B cannot be distinguished from A. For example, dogs and
cats are distinctively different, yet dogs and cats are the same from
the perspective that both are "mammals".
[6.] Following this premise, it stands to reason that all attributes &
aspects of reality can be transformed into each other, and hence they
have no distinctions from each other[at continually higher and higher
levels of symmetry].
[7.] Therefore, it follows, that at a top[infinite?] level of
symmetry, everything is nothing.
QED.
Is it possible to develop warp drive technology? or more correctly,
warp drive ..."trek" nology?
http://arxiv.org/abs/gr-qc/0204012
The universal constants are precisely balanced, such, that carbon
based life could not exist otherwise.
Now take those finely tuned constants out hundreds, thousands,
millions, billions ...trillions, quadrillions of decimal places.
Slight, almost infinitesimal differences between the constants of each
universe, which are actually resonances of a quantum "multiverse",
mean that each resonance is unique.
http://www.cs.unc.edu/~barman/HT96/P43/pictura.htm
Riemann's cuts are analogous to spatio-temporal holes connecting to an
almost exactly identical parallel reality[phase resonance-frequency].
It is most likely true that when a massive star collapses to form a
"black hole", instead of creating a singularity, it transforms into a
type of "Bose Einstein Condensate", also known as "gravastar theory"
If space is constructed of discrete units, and a smallest possible
volume of space is quantized, then how can a "singularity" exist?
According to Lee Smolin, empty space could be a type of colour
electric superconductor, which could explain why quarks are confined.
Some nostalgic "Conan the Barbarian":
Does Crom exist?
Conan: Crom, I have never prayed to you before. I have no tongue for
it. No one, not even you, will remember if we were good men or bad.
Why we fought, and why we died. All that matters is that today, two
stood against many. Valor pleases you, so grant me this one request.
Grant me revenge! And if you do not listen, ...the HELL with you!
[...]
Mongol General: We have won again. That is good! But what is best in
life?
Mongol Warrior: The open steppe, fleet horse, falcon on your wrist,
wind in your hair!
Mongol General: Wrong! ...Conan, what is best in life?
Conan: To crush your enemies, see them driven before you, and to hear
the lamentation of the women!
Mongol General: That is good.
Universal Mind = Universal Eigenvector
In general relativity, there is a formulation called configuration
space, i.e. the superspace, of the geometrodynamics formulation, where
the wavefunctions will be functions over the abstract spaces that
define space itself. The spaces are generally covariant with
"coordinate spaces" being just a convienient modeling tool. There is an
independence OF coordinate systems; the classical geometrodynamics constitutes an algorithm for constructing a leaf history of foliations through superspace in a background independent-interlocking of three geometries.
Coordinates are a convienient means of mathematical modeling, ...but
reality actually defines itself with "events". Events don't happen in
a fixed absolute background of space, or time; events characterize the
evolution OF "space-time".
"The boundary condition of the universe is that it has no boundary",
to quote S. Hawking.
The basic feature of cognitive functions appears to be the simulation
of possible future scenarios via a self modeling process. Memory
corresponds to a simulation of past to present to future plans, with
predictions to the simulation of ever further future scenarios. The
thermodynamic arrow of time shows how time gives a reliable simulation
of the past via repeatable experiments/memories, such, that it is so
reliable that one speaks of actual memories rather than predictions of
the past. The possible nonuniqueness of the classical spacetime and
related classical nondeterminism suggests a possible origin for the
simulatory aspects of consciousness built in to the geometric
structure OF ...space-time.
A person's mind and personality is equivalent to their "software",
that is, to the programming of their brain.
Any software structure can be coded by some large set of natural
numbers.
Every set of numbers exists eternally as a mathematical abstraction
independent of the physical universe.
Therefore each individual's personality is immortal.
According to Mach's principle, a single particle in a bleak void of a
universe, has ZERO inertial mass. An infinitesimally small force
accelerates it - energy is zero because inertial mass is zero, so that
potential energy, mgh and kinetic energy, 1/2 mv^2 are each zero.
Einstein emphasized that a single particle in a void could not have
inertia, for there can be no inertia of matter against space, only
inertia against other matter.
It seems that coordinate independence must hold, and artificial
coordinate "patches" are not really necessary. So a defined "point" in
space-time, must really be an ...event?
There would only be events, related to other events. But all observers
would observe everything else to be in a past moment due to the finite
propagation speed, of light. Proper time would be the only "real time"
So if Einstein says that "the train arrives here at ten o'clock" he
means that the pointing of the small hand of his clock to the ten and
the arrival of the train are "simultaneous events"... where the clock
and the event, are in close proximity.
So a certain definition of time appears to be OK when defining time
for the place where the clock is located, but it is insufficient for defining
time for a series of events at different locations, i.e. to evaluate
times of events occurring at locations remote from the clock.
If for a location A of space, there is a clock, with an observer, and
the observer at A can determine the time values of events in the
immediate proximity of A by observing the positions of the hands of
the clock which are simultaneous with the events at location A.
If at another location in space, point B, with an identical clock, the
observer at B can determine the time values in the immediate proximity
of B. But the time of an event at A cannot compare to the time of an
event at B since a common time for both A and B is yet to be defined.
According to Einstein, the time it takes a ray of light to travel from
A to B equals the time it takes the ray to travel from B to A. Let the
ray of light start at the A time "TA" from A to B, it arrives at the B
time "TB" and is reflected back in the direction of A, where it
arrives at the A time "T'A".
TB - TA = T'A - T'B
A "synchronous" definition of time is arrived at?
2AB/[T'A - TA] = c, the speed of light in vacuum.
Distance is a property between objects in space. Duration is a
distance between events in time. Spacetime is a relational structure;
The structure of space is possibly a distributive lattice. A lattice
is a partially ordered set, closed under least upper and greatest lower
bounds.
The geometric view of physics means that the laws of physics are the
same in every Lorentz reference system. Local Lorentz invariance. But
since the universe has no exterior reference frame, and it must refer
to itself, such, that its overlapping geometry is a computational self
configuration, parameterized by time. The quantized-evolution of
spacetime dictated by GR and QM, means that the past history of then
universe is carried along with the present, for the universe. A
geometric stacking of space like slices, parameterized by t, The
universe is a function of itself.
Spacetime becomes relativistically "compressed". As the time evolution proceeds in the thermodynamic direction of t, the space like sheets continually increase in density. The information storage of space time.
(<-(->(<-(U)->)<-)->)
This increasing refractive spacetime density must be background
independent. The increasing density functions are, in a sense,
equivalent to the non-Euclidean geometry of Riemann and Einstein.
Matter-energy is a form of "event density" where the distribution of
matter-energy determines the geometry of space-time. If there is no
matter energy, that is to say "events", then there is no geometry.
Therefore a body in an otherwise empty universe would have no
intertial properties. Even though Einstein's theory of general
relativity can describe universes that contain no matter, possibly
leading one to believe that GR is not relational - because there can
be space without matter, and there are no material relations that
serve to define space, it is incorrect to make such an assumption. GR
is a theory of fields, and fields vary continuously over space,
forming networks of interactive relations[events].
[1.] Nothingness is a difficult concept, or rather a difficult
"non-concept" since it is ...nothing.
[2.] To say that nothingness exists is to create a contradiction,
since nothingness is non-existence. Nothingness "non-exists".
[3.] Nothingness is non-existence; therefore nothingness is
non-relational. Nothingness has no distinctiveness in and of itself,
hence nothingness cannot be recognizable.
[4.] Being-ness means basically "to be", and to exist. Being-ness
exists.
[5.] Take any two distinct quantities-attributes of existence:
A<------P------>B
A and B perceive each other to be different with perception P. That is
to say A is perceived to be different from B and B is perceived to be
different from A.
A and B are different elements of a larger picture, but they
also[must] share certain common attributes of the larger reality
including them. From that perspective A and B are the same, because
aspects of A transform into B and aspects of B transform into A. At a
higher level of generality and symmetry, A cannot be distinguished
from B, and B cannot be distinguished from A. For example, dogs and
cats are distinctively different, yet dogs and cats are the same from
the perspective that both are "mammals".
[6.] Following this premise, it stands to reason that all attributes &
aspects of reality can be transformed into each other, and hence they
have no distinctions from each other[at continually higher and higher
levels of symmetry].
[7.] Therefore, it follows, that at a top[infinite?] level of
symmetry, everything is nothing.
QED.
Is it possible to develop warp drive technology? or more correctly,
warp drive ..."trek" nology?
http://arxiv.org/abs/gr-qc/0204012
The universal constants are precisely balanced, such, that carbon
based life could not exist otherwise.
Now take those finely tuned constants out hundreds, thousands,
millions, billions ...trillions, quadrillions of decimal places.
Slight, almost infinitesimal differences between the constants of each
universe, which are actually resonances of a quantum "multiverse",
mean that each resonance is unique.
http://www.cs.unc.edu/~barman/HT96/P43/pictura.htm
Riemann's cuts are analogous to spatio-temporal holes connecting to an
almost exactly identical parallel reality[phase resonance-frequency].
It is most likely true that when a massive star collapses to form a
"black hole", instead of creating a singularity, it transforms into a
type of "Bose Einstein Condensate", also known as "gravastar theory"
If space is constructed of discrete units, and a smallest possible
volume of space is quantized, then how can a "singularity" exist?
According to Lee Smolin, empty space could be a type of colour
electric superconductor, which could explain why quarks are confined.
Some nostalgic "Conan the Barbarian":
Does Crom exist?
Conan: Crom, I have never prayed to you before. I have no tongue for
it. No one, not even you, will remember if we were good men or bad.
Why we fought, and why we died. All that matters is that today, two
stood against many. Valor pleases you, so grant me this one request.
Grant me revenge! And if you do not listen, ...the HELL with you!
[...]
Mongol General: We have won again. That is good! But what is best in
life?
Mongol Warrior: The open steppe, fleet horse, falcon on your wrist,
wind in your hair!
Mongol General: Wrong! ...Conan, what is best in life?
Conan: To crush your enemies, see them driven before you, and to hear
the lamentation of the women!
Mongol General: That is good.
.
