# 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.

Source: https://odtoe.org/en/articles/time-basic
Author: Anton Pankratov · Observer-Dependent Theory of Everything (ODTOE) · CC BY 4.0

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THE NATURE OF TIME IN ODTOE: FROM CESIUM-133 TO THE HEARTBEAT Atomic clocks, imposed rhythm, and lost coherence Pankratov A.S. Independent researcher, Kazan, Russia E-mail: anton.s.pankratov@gmail.com ORCID: 0009-0002-4870-2995

## UDC 530.145 + 529.1 + 167.7

ABSTRACT Within the Observer-Dependent Theory of Everything (ODTOE) [1], the nature of time is investigated as a quantity derived from the reconfiguration rate dC/dt [1, formula 4.4]. It is shown that in ODTOE time is neither an external parameter nor an arena of events, but the iteration frequency of a strange loop: each clock “tick” corresponds to one cycle Φ(Ψ) = ι(ÔΨ (Ψ)). Different loops (atom, organism, community) iterate at different frequencies, generating a hierarchy of times. The SI second, defined through 9 192 631 770 radiation periods of cesium-133, is an imposed frequency νCs — the rhythm of one specific loop (the 133 Cs atom) elevated to a standard for all observers. An analysis is carried out of the consequences of civilizational synchronization to the atomic rhythm: high S at level d ∼ 0 (atomic) provides technological coherence (GPS, internet, finance), but does not address and potentially conflicts with coherence at level d ∼ +3 (organismic: heart rate, breathing, circadian cycle). The concept of a time hierarchy and rhythm conflict is introduced: the imposed νCs = 9.19 × 109 Hz is misaligned with biological frequencies νheart ∼ 1 Hz, νbreath ∼ 0.25 Hz, νcirc ∼ 10−5 Hz by ten orders of magnitude. It is shown that coherent synchronization of people at the heart level requires a different time standard — based not on atomic but on biological or resonant frequency. Keywords: time, cesium-133, atomic clock, second, strange loop, iteration frequency, time hierarchy, rhythm conflict, cardiac coherence, circadian rhythm, ODTOE.

I. WHAT IS TIME IN ODTOE I.1. Time is not an arena but an iteration rate In Newtonian physics, time is an absolute background [2]. In general relativity, time is a component of the metric gµν , deformed by energy-momentum. In both cases, time is an external parameter: it is given prior to the observer. ODTOE proposes something different. By axiom (A) [1]: the observer constitutes

the observed. Time is no exception. The parameter t in the dynamics equation [1, formula 4.4]: dC α =− ∇U (C) + η(t) dt I(C) + ε

(I.1)

— is not “external clocks” but an iteration index: each “tick” ∆t corresponds to one cycle of the self-observation mapping Φ(Ψ) = ι(ÔΨ (Ψ)) [1, formula U4.1].

I.2. Time as the frequency of a loop Each strange loop Ψ∗ = Φ(Ψ∗ ) [1, Proposition 4] iterates at a certain frequency ν: the number of cycles Φ per unit of external parameter. However, in ODTOE there is no “external parameter” — only the ratio of frequencies of different loops. The time of one loop is measured through another: how many iterations of loop A fit into one iteration of loop B. ∆tA/B =

## νB νA

(I.2)

Time is the ratio of frequencies of two strange loops. Not a substance, not an arena — a proportion.

I.3. The hierarchy of times By assumption D-Prot [1]: the dimensionality d defines a hierarchy of observation levels. Each level has its own characteristic iteration frequency: Level Subatomic (quarks) Atomic (electron) Cesium-133 (hyperf.) Molecular Cellular Organismic (heart) Circadian Social Geological

d −2

Frequency ν ∼ 1023 Hz

One tick ∼ 10−23 s

∼ 1015 Hz 9.19 × 109 Hz

∼ 10−15 s ∼ 10−10 s

+1 +2 +3 +3 +4 +5

106 –1012 Hz 10−3 –10−1 Hz ∼ 1 Hz 1.16 × 10−5 Hz 10−8 –10−7 Hz ∼ 10−15 Hz

ps–µs seconds–minutes ∼1s ∼ 24 h months–years millions of years

Each level exists in its own time: the iteration frequency of the loop Φ determines how fast time flows for that loop.

II. WHAT IS A SECOND: THE CESIUM-133 LOOP II.1. The SI definition Since 1967, the second has been defined as the duration of 9 192 631 770 periods of radiation corresponding to the transition between the two hyperfine levels of the ground state of the 133 Cs atom [3]: 1 s = 9 192 631 770 periods of νCs

## (II.1)

II.2. Why cesium The 133 Cs transition is stable (∆ν/ν ∼ 10−16 ), reproducible (every 133 Cs atom is identical), and technologically accessible [3]. In ODTOE terms: the cesium atom is a fixed point Ψ∗Cs = Φ(Ψ∗Cs ) [4, Proposition 4] with anomalously high internal coherence Sint → 1, hence T (Cs) → ∞ by [1, P3.1]. The hyperfine transition frequency is the iteration frequency of a specific oscillatory mode of the loop ΦCs .

II.3. What we have done We took one specific strange loop (the 133 Cs atom) and declared its iteration frequency the standard for all observers. One second = 9 192 631 770 iterations of the cesium loop. All other loops (heart, brain, society, planet) are forced to measure their time through cesium: Nloop iterations ×1s NCs iterations

## (II.2)

tany loop =

## III. CONSEQUENCES CESIUM

## SYNCHRONIZATION

III.1. Technological coherence: Stech → 1 Atomic clocks are the foundation of the technological coherence of civilization. GPS requires synchronization of ∼ 30 satellite clocks to an accuracy of ∼ 1 ns. Without the cesium standard, the positioning error would be: ∆x = c · ∆t ∼ 0.3 m per 1 ns. Clock agreement (SGPS → 1) represents coherence of technological “observers” (satellites). NTP/PTP protocols synchronize ∼ 109 devices to UTC (derived from cesium). Highfrequency trading requires synchronization to ∼ 1 µs. Result: civilization has achieved Stech → 1 at level d ∼ 0 (atomic). By [1, P3.1], high S means T (tech) → ∞ — technological infrastructure is stable and long-lived.

III.2. The problem: the wrong level of d A human being is an observer at level d ∼ +3 (organismic). Their own loops (Φheart , Φbreath , Φcirc ) iterate at frequencies misaligned with cesium by ten orders of magnitude: νCs = ≈ 1010 νheart

## (III.1)

One heartbeat = 9.19 × 109 iterations of the cesium loop. Cesium “ticks” ten billion times faster than the heart. For technology this is not a problem (GPS does not need to “feel” time), but for an observer forced to live by a clock ticking to the rhythm of an alien loop, it is a source of misalignment.

III.3. The imposed rhythm A working day: 8:00–17:00 = 9 hours = 9 × 3600 = 32 400 s = 32 400 × 9.19 × 109 ≈ 3 × 1014 cesium iterations. But for the heart this is ∼ 32 400 beats — one rhythm. For the circadian cycle — ∼ 0.375 revolutions (37.5% of the daily cycle). Society’s schedule is built on the divisions of cesium clocks, not on the rhythms of biological loops. The observer is forced to synchronize Φbiol with νCs — but these frequencies are incommensurable: the ratio νCs /νbiol is not a rational number. Incommensurability means the absence of resonance: the cesium clock and the heart never “fall into step.”

IV. TWO TYPES OF TIME IV.1. Chronos and Kairos Ancient Greek philosophy distinguished two kinds of time. Chronos (χρóνoς) — linear, measurable, uniform time. Clock time. Quantitative. Kairos (καιρóς) — the “right moment,” time-as-quality. The time of decision, insight, encounter. Qualitative. In ODTOE: Chronos = the iteration frequency of the loop at d ∼ 0 (atom). Uniform, discrete, reproducible. Ideal for technology. But alien to an observer at level d ∼ +3. Kairos = the iteration frequency of the loop at d ∼ +3 (organism, heart, consciousness). Non-uniform, dependent on the state (B, E, F, σ). “Time flies” when E is high and “drags” when E is low — because the iteration frequency of consciousness (νconsc ) depends on B: νconsc ∼ f (F, E, σ)

## (IV.1)

When F → 1, E → 1 (flow, meditation): νconsc ≫ νnorm — many iterations of consciousness pass per one “tick” of Chronos. Subjective time accelerates. When F → 0, E → 0 (boredom, waiting): νconsc ≪ νnorm — few iterations per “tick” of Chronos. Subjective time decelerates.

IV.2. The formula for subjective time ∆tsubj =

f (F, E, σ) νconsc · ∆tobj = · ∆tobj νCs

## (IV.2)

Subjective time is the ratio of the frequency of the consciousness loop to the frequency of the cesium loop. Each observer has their own. By P4 [1]: P (E|B) = B k . An observer with high B experiences the same interval ∆tobj differently than an observer with low B.

V. DOES CESIUM IMPEDE CARDIAC COHERENCE V.1. Coherent synchronization at the heart level By [5, 6]: coherence of observers is achieved when S → 1, which requires |Bi − Bj | → 0 for all i, j. When synchronizing at the heart level (d ∼ +3), coherence is determined not by clock agreement but by the alignment of biological rhythms: heart rate variability (HRV), respiratory sinus arrhythmia, emotional co-attunement (Ei ≈ Ej ). Research shows: choral singing synchronizes participants’ HRV [7]; joint meditation synchronizes EEG [8]; mother and infant synchronize heart rhythms during skin-to-skin contact [9]. In all cases, synchronization occurs not through cesium clocks but through direct inter-observer interaction: sound, breathing, touch, gaze.

V.2. Cesium does not directly impede but displaces Cesium clocks do not radiate at frequencies that affect the heart (νCs = 9.2 GHz vs νheart = 1 Hz — a mismatch of 10 orders of magnitude; the interaction is negligible). There is no direct physical conflict. But cesium impedes indirectly — through three mechanisms:

V.3. Mechanism 1: Rhythm displacement (A → Aclock ) When an observer lives “by the clock” (alarm → schedule → deadline → timer), their archetype of focus A is reconfigured from Abiol (internal rhythm) to Aclock (external rhythm). The focus of attention F becomes bound to cesium divisions rather than to bodily signals. Result: Fbody ↓, Fclock ↑. The observer stops feeling their own rhythm — it is displaced by the imposed one. By [1, D1.1]: B = F w1 · E w2 · (1 − σ)w3 · Λw4 . A decrease in Fbody leads to a decrease in Bbody — coherence with one’s own organism.

V.4. Mechanism 2: Circadian rhythm desynchronization (σ ↑) The circadian rhythm (∼ 24.2 h = the natural frequency of the loop Φcirc [10]) does not coincide with the 24-hour cesium day. The natural day length for a human is ∼ 24.2 h (without external cues [10]). The cesium day is exactly 24 h = 86 400 s. Discrepancy: ∼ 12 min/day. Daily correction through light, alarm clocks, and schedules constitutes forced synchronization of Φcirc with νCs . Result: chronic jet lag (σcirc > 0 — a mismatch between internal clocks and external rhythm). By [1, D1.1]: an increase in σ leads to a decrease in B, and by [6]: σ > 0 means the system is dishonest with respect to its own rhythm.

V.5. Mechanism 3: Suppression of Kairos (E ↓) Chronos (cesium time) is discrete, uniform, emotionally neutral. Kairos (biological time) is continuous, non-uniform, emotionally charged. Living “by the schedule” suppresses Kairos: moments when E → 1 and the consciousness loop iterates rapidly (inspiration, co-attunement) are interrupted by cesium boundaries (bell, end of lunch, deadline). Result: E is systematically clipped from above. The observer cannot complete a cycle of co-attunement with another observer (Φjoint is interrupted) because “time is up” — according to the cesium clock.

V.6. The conflict formula Let δ denote the misalignment between the imposed rhythm νCs and the natural rhythm νbiol : δ =1−

νbiol νimposed

νimposed = 1 − phase coherence νbiol

(V.1)

When δ = 0 (imposed rhythm coincides with biological): no conflict. When δ → 1 (complete misalignment): σrhythm → 1, Bbody → 0. For cesium–heart: νCs /νheart ∼ 1010 — an irrational ratio, δ → 1. For cesium– circadian: 24 h / 24.2 h = 0.992 → δ ≈ 0.008 — a small but chronic shift.

VI. ALTERNATIVE TIME STANDARDS VI.1. Time-as-breath The Vedic tradition: the unit of time = prana (one breathing cycle ∼ 4 s). Meditative practices synchronize observers through shared breathing, not through shared clocks. In ODTOE: νbreath ≈ 0.25 Hz — the natural frequency of the loop Φbreath . Breath synchronization = Sbreath → 1 at level d ∼ +3.

VI.2. Time-as-heartbeat Musical tempo: 60 BPM ≈ νheart . Research [7]: choral singing at ∼ 60–70 BPM synchronizes participants’ HRV within ∼ 2–3 min. This is resonant synchronization: the imposed frequency (νmusic ) ≈ the natural frequency (νheart ), δ → 0.

VI.3. Time-as-sunrise The solar cycle (νsolar ≈ 1/86 164 s ≈ 1.16 × 10−5 Hz) is closer to the circadian frequency (νcirc ≈ 1/87 120 s ≈ 1.15 × 10−5 Hz) than the cesium 24-hour cycle. Traditional cultures living “from sunrise to sunset” are resonantly synchronized with the solar loop. Cesium clocks replace the solar rhythm — and break the resonance.

VI.4. Comparison scale Standard Cesium-133

ν (Hz)

δ with heart →1

GPS second

Solar day Breath (prana) Heartbeat Choral singing

1.16 × 10−5 0.25 ∼1

≈ 0.5 ≈ 0.75 →0

Type of coherence Technological (d ∼ 0) Technological (d ∼ 0) Natural (d ∼ +4) Biological (d ∼ +3) Organismic (d ∼ +3) Collective (d ∼ +3)

VII. WHAT TO DO: NOT ABOLISH BUT SUPPLEMENT VII.1. Cesium is necessary Abandoning the cesium standard is impossible and unnecessary: GPS, internet, communications, and science require Stech → 1 at level d ∼ 0. Atomic clocks are one of the greatest engineering achievements, ensuring T (tech) → ∞.

VII.2. Cesium is insufficient Cesium provides coherence between machines (Ôtech ) but not between people (Ôhuman ). For coherence at level d ∼ +3, a standard resonant with biological loops is needed.

VII.3. Practical recommendations through ODTOE 1. Conscious shift of focus: from clocks to the body. Periodic switching of focus (Aclock → Abody ): feeling one’s heartbeat, breathing, hunger, fatigue — without clocks. Restoration of Fbody ↑.

2. Resonant synchronization. Choral singing, joint meditation, dance — practices that synchronize observers through biological rhythm (ν ∼ 1 Hz) rather than through cesium. 3. Chrono-hygiene. Minimization of the circadian discrepancy δcirc : sleeping and waking according to the solar rather than cesium rhythm. Reduction of σcirc → 0. 4. Dual-standard time. Technical tasks — by cesium (Chronos). Human tasks — by biorhythm (Kairos). Not “either-or” but “what for.”

VIII. TESTABLE PREDICTIONS 1. HRV coherence vs. schedule. ODTOE predicts: groups working without a fixed schedule (flexible schedule oriented to biorhythm) will demonstrate higher interpersonal HRV coherence than groups with a rigid schedule. Protocol: 2 groups × 4 weeks, HRV monitoring, synchronization metric. 2. Subjective time and B. ODTOE predicts: observers with higher B (measured through the questionnaire for F , E, σ, Λ) will systematically underestimate interval duration (subjective time is faster than objective time). Standard psychology predicts dependence on attention and emotions but does not formulate a unified formula (IV.2). 3. Chronotype and σ. ODTOE predicts: observers with a high mismatch between chronotype and work schedule (night owls on morning shifts) will have systematically higher σ and lower B than those whose chronotype matches. Verifiable through questionnaires + HRV + productivity.

IX. DISCUSSION AND LIMITATIONS 1. Novelty of the approach. ODTOE formalizes time for the first time as the iteration frequency of a strange loop (I.2), rather than as an external parameter. This allows: (a) explaining the subjectivity of time through νconsc (IV.2); (b) formalizing the conflict between the imposed and natural rhythm through δ (V.1); (c) proposing a quantitative criterion: coherence between people requires synchronization at their frequency (d ∼ +3), not at the frequency of an atom (d ∼ 0). 2. The formula for νconsc . Formula (IV.1) is qualitative; the functional dependence νconsc = f (F, E, σ) is not specified. 3. The misalignment δ. Formula (V.1) is introduced phenomenologically; a rigorous connection with σ from [1, D1.1] requires formalization. 4. The hierarchy of times. The table in Section I.3 is classificatory, not derived from the axiomatics.

X. CONCLUSION Time in ODTOE is neither an arena nor a substance but the iteration frequency of a strange loop. Each loop (atom, heart, society) ticks to its own rhythm. The SI second is the frequency of one specific loop (133 Cs) elevated to a standard for all. Cesium provides technological coherence (Stech → 1, level d ∼ 0): GPS works, the internet is synchronized, finance is stable. But cesium does not provide and potentially suppresses human coherence (d ∼ +3) through three mechanisms: rhythm displacement (A → Aclock ), circadian desynchronization (σ ↑), and clipping of Kairos (E ↓). Coherent synchronization of people at the heart level (Sheart → 1) requires a resonant frequency (ν ∼ 1 Hz, δ → 0): shared breathing, singing, touch, attention. Cesium is useless here — not because it is “bad,” but because it belongs to a different level: it is a metronome for electrons, not for people. Cesium synchronizes machines. The heart synchronizes people. Do not confuse the levels.

CONFLICT OF INTEREST The author declares no conflict of interest.

FUNDING This work was carried out without external funding.

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