ODTOE
|
|

Mathematical Structures

Pi, golden ratio, information, memory, world lines

4 articles

Articles in this topic

  1. 01

    Pi as Structural Invariant of Self-Consistent Observation

    Five independent arguments for necessary presence of pi in ODTOE formalism. Connection between transcendence of pi and spiral dynamics. Role of golden ratio phi.

    pigolden ratioinvariantEuler formula
    Read →PDF · RU + EN
  2. 02

    Cinematograph of Reality: Information, Memory and Playback

    Where is information stored? Can any frame of reality be accessed? World line W exists in H as unified non-separable object. Operator window width.

    informationmemoryworld lineoperator window
    Read →PDF · RU + EN
  3. 03

    Golden Ratio as Invariant of Fractality, Self-Similarity and Recursion

    Phi as fixed point of self-referential map f(x)=1+1/x. Discrete iterative invariant complementary to continuous phase invariant pi.

    phigolden ratiofractalityself-similarity
    Read →PDF · RU + EN
  4. 04

    Methuselah Star Paradox: Age of Universe as Observer-Dependent Configuration

    HD 140283 star age paradox. Different dating methods reflect different observation operators applied to unified field of potential states.

    Methuselahstarageuniverse
    Read →PDF · RU + EN

Other Topics

Foundations of Theory

Core ODTOE articles: axiom, postulates, mathematical formalism

14 articles

Time and Space

Emergence of time, arrow of time, chirality, Kozyrev mechanics

3 articles

Physics and Technology

Atom, energy, electricity, devices, superconductors, light

33 articles

Consciousness and Observer

Evolution of observer, collective observation, dimensionality

6 articles

Social Applications

Business, teams, love, music, conflict resolution. Personal exploratory work and applied analyses. Not all materials are peer-reviewed.

21 articles

Personal Numerological Studies

The following studies explore numerological patterns from a critical and analytical perspective. They are personal research notes, not peer-reviewed scholarship. Where Tesla-related apocrypha or other folkloric claims are discussed, they are presented as objects of critical analysis, not as endorsed truths.

3 articles

All Categories