Being&Knowledge along any post-metaphysical context : 1. Being & Probability

1. Being&Knowledge along any post-metaphysical context: 1.Being & Probability

2. Vasil Penchev, Assoc. Prof., PhD, Institute for Philosophical Research of the Bulgarian Academy of Sciences,vasildinev@gmail.com,forthcoming publications&links to my personal pages:vasil7penchev.wordpress.com

3. 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 publicationsin a week: vasil7penchev.wordpress.com (Please, look at and comment it, I’ll answer!)

4. 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

5. 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

6. Our two basic postulates: No experience might differ anyway subjective from objective probability, i.e. Being from Knowledge Substance of Being=Knowledge is Information as a relation between probabilities notwithstanding subjective or objective ones

7. Three theses: • Being has informational character. • Information is relation between probabilities. • Y-function evolves from the representation of the information into the space-time.

8. 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 1. Being has informational character…

9. Being of existing supplements • with being as information Two kinds of physical being: 1. 1. 1. 1. 1. Time is “constant”: any moment is just the same as any other Energetic = No! past ? future Interaction of moments present Yes! Time is not “constant”: the moments are different = Informational

10. Quantum information conservation law sum of S "constant" time variable EXISTING energy conservation law = a c t i o n Inforamtion 1. 1. 1. as a physical quantity 1. BEING 1. Being, which doesn’t exist is means No being Action  h ! ! ! without time&information Being with information Existing with energy

11. Non-Newton time 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 Historical time Special relativity discrete Conclusion: time is an ordering of choices Space-time 1. 1. 1. 1. inhomogeneous 1. Conclusion of relativity: time is an ordering of space Time is a linear ordering of space spheres Historical choices A historical way Conclusion: time is a set of orderings or ordering of orderings plural structured Non-linear space-time a basic time “La longue durée” General relativity

12. Blinking in space-time: appearing, disappearing, here and there happening Being, 1. 1. 1. existing 1. 1. is constant in space-time which is doesn’t exist Energy conservation expresses its constant being is blinking in space-time is is a set an ordering an example a body a ghost a ghost a ghost a ghost a spirit a spirit a spirit a spirit

13. Blinking in space-time: appearing, disappearing, here and there happening Being existing AXIOM OF SELECTION A genie in a bottle an ordered set O Any set can be ordered A spirit in a body a set W D Yes! No! chance appearing in the table (space-time) Maybe thought is being, but not existing R

14. Information, energy, matter Information is out of or as Energy is (light) 3 in 1 = or as Space-time Matter is only in (an ordering)

15. Which isthe meaning of information?N (CHOICES) & N (ALTERNATIVES) CHOICES (1-6) & ALTERNATIVES(A-I) 2. Information is a relation between probabilities p Information is: C  Y1(x)lg Y2(x)dx B G H I F D E F 6 a relation between A 5 4 3 Y1(x) Y2(x) 2 1 x

16. Which isthe meaning of information?N (CHOICES) & N (ALTERNATIVES) &PREFERENCES CHOICES (1-6) & ALTERNATIVES(A-I) 2. Now, let's slightly complicate the game! Information is a relation between probabilities &PREFERENCES p 2. Information is: C  Y1(x)lg Y2(x)dm(x) B A way (1-2-3-4-5-I) is being preferred G H I F D E F 6 a relation between A 5 4 3 Y1(x) Y2(x) 2 m(x) 1 x

17. Information is a kind of motion F is an operator in Hilbert space 2. 2. 2. 2. If it is a Hermitian operator, then A=y1(x).y2(x)dx is a physical quantity 2. I=f1(x)lgf2(x)dm(x) О f1(x)  f2(x) F Y1(x)  Y2(x) * f1(x)=| Y1(x)| 2 f2(x)=|Y2(x)|2 xC CONCLUSION: I To any quantity A corresponds the information

18. The new notion of information quantum AXES of HS Al qubits are … … 2. i 2. 2. 2. 1 2 3 2. So appears Hilbert space So appears a qubit That’s Why: The qubit is isomorphic of the unit sphere Quantum bit: a0+ b1, 01 Ci=ai/bi: |ai|2+ |bi|2=1 C={c1, c2, c3, …, ci,….} ciC limCi=0, i To start from the l2-form of Hilbert space

19. That’s why HS is a quantum computer 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 2. 2. 2. QC processes ‘quantum’ info 2. 2. TM processes ‘classical’ information Is any QC calculation a physical process? Any physical process is a calculation of QC! For the TM operator “Write ‘1’!” is the QCO: “Do the HS operator ‘F’!” No other difference The quantum computer is a math model as wellasTuring machine A very difficult question!

20. Qubits representations of HS operators The action on a qubit acts upon others Non-linear operators 2. 2. 2. 2. 2. A combination of Hermitian and Unitary operators Transformation of a|0+b|1 in the plane (a|0,b|1) b|1 Hermitian a|0 Unitary Phenomena of entanglement Rotation of the unit sphere Linear operators

21. Y-function = 1) a common basis of all the Y-functions (of a Hilbert space) – “the whole” 2) the Y-function itself – “a part” it World line = a common basis of all the world lines (of a space-time) – “the whole” the world line itself – “a part” it 3. Y-function evolves from the representation of the information into the space-time = basis worldline Y-function Hilbert space starts from “the whole” and builds up any its part by means of fractal similarity to it 3. 3. 3. 3. 3. a set an ordering chanceappearinginto Time-space stars from “a part” and build up “the whole” by means of successive similarity to it space- time Information of to Axiom of selection

22. Y-function represents a set ordered by frequency of chance appearing in space-time of each its element C1, C2, C3, …, Ci,… decreasing frequency of appearing

23. World line represents a set ordered by time space-time distant (Ci) = constant C1, C2, C3, …, Ci,… {time}

24. To the ordering of equidistant space-time paths between two points in contribution to the general motion (Feynman path integral interpretation of quantum mechanics) corresponds the ordering in time ofequidistant space-time sections along a world line

25. A hypothesis: The successive ordering of equidistant space-time distances along a world line corresponds to the ordering in decreasing frequency of appearing into space-time of a Y-function and to the ordering in level of similarity of a fractal structure

26. The conclusions are the same as the three thesesTo remember them!

27. Conclusions: • Being has informational character. • Information is a relation between probabilities. • Y-function evolves from the representation of the information into the space-time.

28. That's all! Thank You!