Being&Knowledge along any post-
metaphysical context:
1.Being & Probability
Vasil Penchev, Assoc. Prof., PhD, Institute for Philosophical Research
of the Bulgarian Academy of Sciences,
[email protected],forthcoming publications&links to my personal pages:
vasil7penchev.wordpress.com
My presentation consists of two parts:
Being&Probability, which I am presenting now and
Time&Fractal, which I am going to post in my page of forthcoming
publications in a week:
vasil7penchev.wordpress.com
(Please, look at and comment it, I’ll answer!)
The general frame of presentation:
What means “Being and Knowledge along any post-metaphysical context”?
I mean “Being&Knowledge along of any post-metaphysical contexts”
“Being&Knowledge” means: Being and Knowledge are the same: Being, which is Knowledge&Knowledge, which is Being,
i.e. Being=Knowledge
From Being&Knowledge toBeing&Probability
It is Information that is Substance of Being, which is Knowledge
Information is a relation between probabilities
Granted is: two kinds of probabilties – subjective and objective. We reckon objective
probabilities for Being and we reckon subjective probabilities for Knowledge
Our two basic postulates:
1. No experience might differ anyway subjective from objective probability, i.e. Being from Knowledge
2. Substance of Being=Knowledge is Information as a relation between probabilities notwithstanding subjective or objective ones
1. Being has informational character.
2. Information is relation between probabilities.
3. -function evolves from the representation of the information into the space-time.
Three theses:
Being has informational character…
• Being of existing: preservation, conservation
• Energy conservation law
• Newton time – uniformly infinitesimal, homogeneous, unstructured
• No physical object is out of space-time
• Being of existing supplements with being as information
• Quantum information conservation law
• Non-Newton time
• Blinking in space-time:
appearing, disappearing, here and there happening
•Being of existing supplements
with being as informationTwo kinds of physical being:Two kinds of physical being:
Energetic ==Time is “constant”: any moment is just the same as any other
InformationalTime is not “constant”: the moments are different
Interaction of moments
future
present
==
past
•Quantum information conservation law
sum of= a c t i o n
as a physical
quantity
Action h means No being
without time&information
Being withinformation
Existing with energy
Being, which doesn’t exist
•Non-Newton time
Special relativitySpace-timeTime is a linearordering ofspace spheres
Non-linear space-time
General relativityGeneral relativity
Conclusion of relativity: time is an ordering of space
Historical timediscreteinhomogeneous
Historical choicesA historical way
plural structureda basic time
“La longue durée”
Conclusion: time is an ordering of choices
Conclusion: time is a set of orderings or
ordering of orderings
General conclusion: since any ordering is information (by Kolmogorov’s definition
by means of complexity), then time is a set or an ordering of information
But the conclusion of relativity has been: time is an ordering of space
Hypothesis: space is some kind of information
•Blinking in space-time: appearing, disappearing, here and there happening Being,
whichdoesn’texistis constant inspace-timeEnergy conservationexpresses itsconstant being
is blinkingin space-time
an ordering a set
an examplea ghost
a spirit
a body a ghosta ghosta ghosta spirita spirita spirit
•Blinking in space-time: appearing, disappearing, here and there happening Being
W
O
R
D chanceappearingin the table(space-time)
an ordered setAXIOM OF SELECTION
Any set canbe ordered
Maybe thought is being,but not existing
A genie ina bottle
A spiritin a body
Information, energy, matter
(an ordering)
Information is a relation between probabilities
x
p
1(x)2(x)
1(x)lg 2(x)dx
• Which is the meaning of information?
N (CHOICES) &
N (ALTERNATIVES)12
CHOICES (1-6) & ALTERNATIVES(A-I)
3
4
5
6
A
B CD E F F G H I
Information is a relation between
probabilities & PREFERENCES
x
p
1(x)2(x)
1(x)lg 2(x)dx)
• Which is the meaning of information?
N (CHOICES) &
N (ALTERNATIVES) & PREFERENCES
12
CHOICES (1-6) & ALTERNATIVES(A-I)
3
4
5
6
A
B CD E F F G H I
(x)
Information is a kind of motion
I=f1(x)lgf2(x)d(x)
f1(x) f2(x)
f1(x)=| 1(x)| 2
f2(x)=|2(x)|2
1(x) 2(x)
is an operator in Hilbert space
If it is a Hermitian operator, thenA=1(x).2(x)dx isa physical quantity
To any quantity A corresponds
xC
The new notion of information
To start from the l2-form of Hilbert spaceTo start from the l2-form of Hilbert spaceC={c1, c2, c3, …, ci,….} ciClimCi=0, i
Ci=i/i: |i| 2+ |i| 2=1
Quantum bit:0+ 1, 01
The qubit is isomorphicof the unit sphere
That’sWhy:
So appears Hilbert space
2 i31 … …
AXES of HSAl qubits are
So appearsa qubit
That’s why HS is a quantum
The quantum computer is a math model as well as Turing machine
For the TM operator “Write ‘1’!” is the QCO:“Do the HS operator ‘F’!” No other difference
Any physical process is a calculation of QC!Is any QC calculation a physical process?TM processes ‘classical’ informationQC processes ‘quantum’ info
Properties of ‘classical’ information: it can be (1) copied, (2) destroyed. It (3) can’t interact with itself. It (4) has always a material (energetic) medium. It (5) is in space-time. ‘Quantum’ information: just the opposite of the above
Qubits representations of HS operators
Non-linear operators The action on a qubit acts uponothers
Phenomena of entanglementLinear operators
Unitary
Hermitian
A combination of Hermitian andUnitary operators
|0
|1
Transformation of |0+|1 in the plane(|0,|1)
Rotation of the unit sphere
-function evolves from the representation of the information
into the space-time-function =
1) a common basis of all the -functions (of a Hilbert space) – “the whole”
2) the -function itself – “a part” it
World line =
1) a common basis of all the world lines (of a space-time) – “the whole”
2) the world line itself – “a part” it
Hilbert space starts from “the whole”and builds up any its part by means of
fractal similarity to it
Time-space stars from “a part”and build up “the whole” by means of
successive similarity to it
Information
= world line-function
Axiom of selection
a set an orderingchance appearing into
basis
-function represents a set ordered by frequency of
chance appearing in space-timeof each its element
C1, C2, C3, …, Ci,…
decreasing
frequency of appearing
World line represents a set ordered by time
C1, C2, C3, …, Ci,…
{time}
space-time distant (Ci) = constant
To the ordering of equidistant space-timepaths between two points in contribution
to the general motion (Feynman path integral interpretation of quantum mechanics)
corresponds
the ordering in time of equidistantspace-time sections along a world line
A hypothesis:
The successive ordering of equidistant space-time distancesalong a world line corresponds to
the ordering in decreasing frequency of appearing into space-
time of a -function and to the ordering in level of similarity of a
fractal structure
The conclusions are the same as the
three theses
To remember them!
1. Being has informational character.
2. Information is a relation between probabilities.
3. -function evolves from the representation of the information into the space-time.
Conclusions: