Time as Derivative of Observation
Definition
Time in ODTOE is not a fundamental parameter but the iteration counter of the self-observation map Φ — the «tact frequency» of a strange loop. Cesium-133 atomic time and a heartbeat are both legitimate τ₀ calibrations at different observer levels; the transcendence of π guarantees the arrow of time.
Related Terms
Strange Loop
A strange loop in ODTOE is a self-referential cycle Φ = ι ∘ Ô in which the observer observes its own observation. Time, space, atoms and consciousness all arise as iterations of strange loops; an atom is the elementary strange loop (proton, neutron, electron) and time is its iteration counter.
π as Structural Invariant
In ODTOE π is the continuous-phase invariant of self-consistent observation — the form of the observation cycle. Its transcendence (Lindemann 1882) guarantees that the φ-torus trajectory never closes, which produces the arrow of time and the eternal expansion of the universe.
Temporal Asymmetry (Theorem V*)
Theorem V* of ODTOE establishes temporal asymmetry of past and future states in H: the past is indestructible (norm conservation under Φ-iterations), the future is constructible (not fixed). Projectors π_past and π_future are mutually orthogonal, which gives the arrow of time from first principles and connects to Penrose's CCC and Wheeler's delayed-choice.
Spacetime Genesis at Observer Birth
ODTOE's composite spacetime genesis theorem ST.T1 states that time and space arise simultaneously with the birth of an observer Ô as structural consequences of spontaneous symmetry breaking and KAM selection. Both temporal projectors π_past and π_future are instantiated symmetrically at τ_obs = τ₀, resolving the chicken-and-egg paradox of observer vs spacetime.
Source Articles
Time as Derivative of Observation: Strange Loop
Time is not independent parameter but emerges as iteration counter of self-observation map. Transcendence of pi guarantees arrow of time.
The Nature of Time in ODTOE: From Cesium-133 to the Heartbeat
Time as iteration frequency of a strange loop. Cesium-133 provides technological coherence but suppresses human coherence through rhythm displacement and circadian desynchronization.
Time, Spirality and Chirality: Comparison with Kozyrev
Emergent temporality and comparison with N.A. Kozyrev's causal mechanics. Left chirality of observation loop matches P-parity violation in weak interactions.