ODTOE

ODTOE (Observer-Dependent Theory of Everything) is a formal scientific framework that treats physical reality as a configuration constituted by an observer. It rests on a single axiom — the observer constitutes the observed — and six mathematically formalized postulates, with the canonical relation R = Ô(Ψ).

Observer-Dependent Theory of Everything is a unified analytic-metaphysical research programme that derives quantum mechanics, general relativity, thermodynamics, and consciousness from a single observer principle. It treats QM, GR, string theory, LQG, and QBism as configurations within one Hilbert-like field H, organized by coherence S and observer dimensionality d.

ODTOE was developed by Anton Pankratov as an independent research programme. The full corpus is freely published at odtoe.org and includes 85+ research articles and 66+ video lectures covering foundations, time, mathematics, physics, cosmology, and consciousness.

The cognitive coherence formula is B(O,C) = F^w1 · E^w2 · (1−σ)^w3 · Λ^w4, where B is the contextual belief of observer O in context C. F is frame stability, E is evidence, σ is incoherence, and Λ is data quality. This makes belief an operationally measurable quantity rather than a metaphor.

In ODTOE, the quantum measurement problem dissolves because there is no observer-free state to collapse. The wavefunction Ψ is the pre-actualization configuration, and the measurement is the operator Ô acting on Ψ to yield the actualized reality R. Standard QM emerges as the low-dimensionality regime of the observer.

A strange loop in ODTOE is the self-referential map Φ in which the observer observes itself: Ψ* = Φ(Ψ*). Existence of this fixed point is proven via the Schauder theorem and uniqueness under contraction via the Banach theorem. Time, the atom, and consciousness are all instances of strange loops at different scales.

Consciousness in ODTOE is modeled as the self-observation fixed point Ψ* sustaining a positive cognitive coherence B(O,C) above a critical threshold. Death is deactualization — the collapse of B toward zero, terminating the Φ-iteration sequence. The sleep–wake cycle is a fractional-dimensionality oscillation d_eff(t) = d₀ + Δd·f(t).

ODTOE is an independent open research programme rather than a single peer-reviewed paper. The corpus is published openly at odtoe.org with full PDFs, formal proofs, and numerical verifications (e.g., dual-path Bianchi identity at 50-digit precision), inviting open peer review by the physics, mathematics, and philosophy of mind communities.

Most theories of everything (string theory, LQG, GUTs) treat the observer as external. ODTOE inverts this: the observer is constitutive, not auxiliary. Within ODTOE these other frameworks reappear as specific configurations in a periodic table of theories indexed by coherence S and observer dimensionality d.

In ODTOE, π is the transcendental invariant of the self-observation map and the (π−3) residue carries a 2% topological excess that unifies dark matter and dark energy. The golden ratio φ is derived as the asymptotic fixed point of self-observation geometry, with φ²:1:Z fixing the dark-sector attractor as a topological invariant.