# Devices for Energy Extraction and Room-Temperature Superconductivity

> Four device designs. Chemical compositions for room-temperature superconductor candidates. Three ODTOE criteria: ternary architecture, spiral phase correction, resonance frequency.

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

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DEVICES FOR ENERGY EXTRACTION FROM H AND ROOM-TEMPERATURE SUPERCONDUCTIVITY: ENGINEERING PROGRAM OF ODTOE

1.1 From Coherent Conductivity Resonator to New Designs and Materials Pankratov Anton Sergeevich Independent Researcher, Kazan, Russia E-mail: anton.s.pankratov@gmail.com · ORCID: 0009-0002-4870-2995 UDC 537.311 + 538.945 + 530.145 + 167.7

## ABSTRACT

On the basis of ODTOE papers on electricity as directed action of the observation operator [A], the atom as a strange loop [B], and the number π as a structural invariant [C], designs for four devices for energy extraction from the field of potential states H are proposed. Each device realizes one or more of five efficiency enhancement mechanisms for the channel Ô : H → C (coherence, resonance, recursion, criticality, collectivity). Specific chemical compositions and crystal structures of candidates for room-temperature superconductors are proposed, selected according to three ODTOE criteria: triadic architecture of the lattice, spiral phase correction δπ , and resonance frequency fres in the terahertz range. All predictions are formulated as falsifiable experiments. Keywords: coherent resonator, superconductivity, room temperature, ODTOE, strange loop, spiral gap, triadic architecture, terahertz.

## 1.2 I. THEORETICAL FOUNDATION: THREE SOURCES 1.2.1

1.1. From the Electricity Paper [A]: Identity of Observation and Electricity

Established [A, section X]: observation ≡ electricity. Electric current is the coherent displacement of projections of the single operator Ô through C. An act of observation is the action of the same Ô : H → C. This is one operator described at two levels. Consequence: organizing coherent operator flux = generating current. 1.2.2

1.2. From the Atom Paper [B]: Spiral Gap δΨ

Each iteration of the strange loop Φ(Ψ∗ ) = Ψ∗ + δΨ generates a directed increment δΨ ̸= 0 due to transcendence of π (π ̸= 3). Energy of one iteration [A, formula XII.6]:

(1)

PδΨ = (π − 3)2 ·

Eloop 2πh̄

(I.1)

For hydrogen atom (Eloop ∼ 13.6 eV): P (1) ∼ 1.44 × 10−4 W. In equilibrium, gaps δΨi are randomly oriented and cancel each other. The task is to align part of the phases. 1.2.3

1.3. From the π Paper [C]: Two Structural Invariants

π governs continuous phase dynamics (rotations, oscillations). φ governs discrete iterative dynamics (stability, growth). Both emerge from Banach’s theorem through a single fixed-point mechanism. Engineering consequence: the device must use both invariants—π (geometry of rotations) and φ (proportions of structure).

1.3 II. DEVICE 1: COHERENT CONDUCTIVITY RESONATOR (CCR) — ENHANCED DESIGN 1.3.1

2.1. Basic Design [A, section XI]

Three THz radiators with triadic geometry: ∆ϕ12 =

2π (π − 3) + · 2π ≈ 137.2°

∆ϕ23 = ∆ϕ31 ≈ 111.4°

## (II.1)

## (II.2)

Resonance frequency: fres = vaF · (π−3) [A, formula XI.4]. 2π Phase shifts: ϕ1 = 0, ϕ2 = 2π/3, ϕ3 = 4π/3 + δπ , where δπ = 2π(π − 3)/3 ≈ 0.2963 rad. 1.3.2

2.2. Enhancements Based on Synthesis [A]+[B]+[C]

Enhancement 1: φ-antenna geometry. The angle 137.2° is close to the golden angle (360°/φ2 ≈ 137.5°) with accuracy of 0.3° [A, formula XI.2]. We propose exact golden geometry: ∆ϕgolden =

360° = 137.508° φ2

## (II.3)

Two radiators at the golden angle, the third completing (360° − 2 × 137.508° = 84.984°). This breaks triadic symmetry—and this is correct: the spiral gap δΨ breaks exact triadicity (π > 3, not = 3).

Enhancement 2: Cascaded Recursion (Φn ). Instead of one layer of radiators, three nested layers reproducing recursive self-similarity [B, section IV]: Layer 0 (outer): three THz radiators, fres = 98 THz (Cu) Layer 1 (middle): three THz radiators, fres = 98 THz × φ Layer 2 (inner): three THz radiators, fres = 98 THz × φ² Three levels of recursion = 3 × 3 = 9 radiators = self-observation (the number 9, [10]). Each level enhances the coherence of the previous one. Enhancement 3: Feedback (ι). The output current of the CCR is fed to a coherence detector (measurement of S) which adjusts the phase shifts of the radiators in real time:

THz-radiators → sample → current → detector S → phase correction → THz-rad ↑ └────────────── loop Φ ────────────── This closes the loop Φ = ι ◦ Ô: the device observes its result and recalibrates. Transition from 666 (unconscious cycle) to 9 (self-observation). 1.3.3

2.3. Predictions of Enhanced CCR

Parameter

Basic CCR [A]

Enhanced

Number of radiators Geometry Feedback Expected amplification

Triadic (120° + δπ ) No Q4 ∼ 4 × 105

9 (three levels of 3) φ-golden (137.5°) Yes (ι via detector S) Q4 × φ2×3 ∼ 107

## 1.4 III. DEVICE 2: SPIRAL VACUUM RESONATOR (SVR) 1.4.1

3.1. Principle

Dynamic Casimir effect: a moving mirror in vacuum generates real photons from vacuum fluctuations [Wilson et al., 2011]. Through ODTOE: a moving operator Ô(t) “extracts” a quantum from H. We propose: not a moving mirror (mechanically complex), but a spiral resonance cavity in which an electromagnetic wave rotates in a spiral with phase correction δπ .

3.2. Design

SPIRAL VACUUM RESONATOR ├── Cavity: toroidal (S¹ × D²), length L = n × λ_res Inner surface: superconducting (Nb₃Sn or YBCO) ├── Spiral channel: along the torus with offset Pitch: δ = L × (π - 3)/(2π) per revolution This provides phase correction δπ at each turn ├── Pump: external THz source at frequency f_res Injects wave into spiral channel ├── Output: receiver on inner wall of torus Detects additional photons born from vacuum └── Key: spirality of channel modulates boundary conditions This effectively realizes "moving mirror" without motion 1.4.3

3.3. Physics of the Process

The spiral channel means: a wave traversing the torus encounters slightly different boundary conditions at each revolution (shift by δπ ). For the wave this is equivalent to a slowly moving mirror. Parametric change of boundary conditions generates photons from vacuum (dynamic Casimir effect). Spirality along δπ = 2π(π − 3)/3 is not arbitrary. This is the exact spiral correction of the strange loop [A, C]. Each revolution = one iteration of Φ. Each iteration generates δΨ = an elementary quantum of directed action with energy ∝ (π − 3)2 . 1.4.4

3.4. Power Estimate

Quality factor of superconducting torus: QSRF ∼ 1010 (achieved for niobium resonators at CERN). Number of wave revolutions before decay: Nrev ∼ QSRF /(2π) ∼ 109 . Each revolution generates (π − 3)2 ≈ 0.02 “quanta” of Casimir type. In total: Nphotons ∼ 0.02 × 109 ∼ 2 × 107 photons per decay period. At fres ∼ 100 THz (IR): Ephoton ∼ 0.4 eV. Power: P ∼ 2 × 107 × 0.4 × 1.6 × 10−19 /τ ∼ nanovatts. Negligible—but measurable and principled: these are real photons born from H without external source (after initial pump).

## 1.5 IV. DEVICE 3: TRIADIC PHASE GENERATOR (TPG) 1.5.1

4.1. Principle: Tesla’s Three-Phase Current + Spiral Correction

Tesla invented three-phase current: three sinusoids, shifted by 2π/3. This is = 120° between phases. Creates a rotating field. Through ODTOE [A]: three phases = three components of triadic architecture. But the exact shift is not 120°, but 120° + δπ /3 ≈ 120° + 5.66° = 125.66° (spiral correction). Standard three-phase current does not contain spiral correction—and therefore creates circular (closed) rotation. With correction δπ —spiral (non-closed) rotation. 1.5.2

4.2. Design

TRIADIC PHASE GENERATOR ├── Three windings with non-standard angular separation: Winding A: 0° Winding B: 137.5° (golden angle, ≈ 2π/3 + δπ) Winding C: 222.5° (= 360° - 137.5°) ├── Rotor: spiral shape (not cylinder, but spiral) Pitch: δ � (π - 3) Material: copper with cobalt inclusions (magnetic anisotropy) ├── Stator: three blocks at golden angle └── Expected effect: Rotating field does NOT close exactly → spiral gap δΨ → each rotor revolution generates δE � (π - 3)² → additional EMF on top of standard induction 1.5.3

4.3. Prediction

A generator with golden-angle winding separation should demonstrate excess EMF ∆E/E ∼ (π − 3)2 ≈ 2% compared to an identical generator with standard 120° separation. Test: two identical generators, one with 120°, the other with 137.5°. Measure EMF at identical rotations. Difference ∼ 2%—ODTOE prediction.

## 1.6 V. DEVICE 4: BIOMIMETIC COHERENT CONVERTER (BCC) 1.6.1

5.1. Principle: Photosynthesis as Prototype

Photosynthesis is the most efficient known channel H → C: quantum coherence of energy transfer ~95% efficiency [Engel et al., 2007]. Uses three mechanisms of five: coherence

(quantum transfer), resonance (tuning to solar spectrum), recursion (Calvin cycle). 1.6.2

5.2. Design

Artificial “chloroplast”: BIOMIMETIC COHERENT CONVERTER ├── Antenna complex: Quantum dots (CdSe/ZnS) in triadic geometry Three dot sizes → three resonance frequencies (RGB) Angular separation: golden angle 137.5° ├── Transport channel: Chain of porphyrin molecules (chlorophyll analogue) Distance between molecules: r = r₀ × φ (increasing) Provides φ-scaling of coherent transfer ├── Reaction center: Nano-electrode (graphene + MoS₂) Converts coherent excitation to electric current ├── Feedback: Piezoelectric element, adjusting antenna distances based on output current └── Medium: Biopolymer matrix (chitosan/alginate) at temperature near phase transition (273-277 K for water) → criticality: maximum sensitivity to H 1.6.3

5.3. Why This Could Work

Quantum dots already demonstrate coherent energy transfer at room temperature (Scholes et al., 2011). Golden-angle antenna geometry maximizes spatial coverage (like sunflower seeds). Phyllotaxis is a natural example of φ-optimization.

## 1.7 VI. ROOM-TEMPERATURE SUPERCONDUCTIVITY 1.7.1

6.1. Why Standard Approaches Don’t Work

Standard BCS theory [Bardeen-Cooper-Schrieffer, 1957]: Cooper pairs form due to phonon interaction. At higher temperature, thermal noise destroys pairs. Tc is limited by phonon energy.

Through ODTOE [A, section IX]: superconductivity = S → 1 for electron cluster. Tc is the temperature where thermal decoherence (D(η) = D0 (1 − S)) is overcome by pair coherence. Standard path: lower D0 (cool down). ODTOE path: raise S architecturally—through material structure. 1.7.2

6.2. Three ODTOE Criteria for Room-Temperature Superconductor

Criterion 1: Triadic Architecture of Lattice. By [B]: the minimal self-consistent configuration is a triad. The crystal lattice of a superconductor should contain triadic structural motifs: three inequivalent positions, three types of bonds, triangular or hexagonal planes. All high-temperature superconductors (HTSC) already satisfy this: YBCO (Y-Ba-Cu-O: three cations), BSCCO (Bi-Sr-Ca-Cu-O: three+ cations), MgB₂ (Mg-B-B: triad with hexagonal symmetry). Criterion 2: Spiral Phase Correction δπ . Electron pairs must have possibility of “spiral” motion with phase correction δπ at each revolution. This requires chiral (spiral) lattice elements—structures without inversion center. Criterion 3: Resonance Frequency in THz Range. By [A, formula XI.4]: fres = (vF /a) · (π − 3)/(2π). For room-temperature superconductor fres should fall in the window 50 − 200 THz (IR), where thermal phonons do not dominate and coherence can be maintained. 1.7.3

6.3. Candidates: Chemical Composition and Structure

Candidate 1: Chiral Cuprate with Bismuth 2212), modified by chiral substitution.

Composition: Bi₂Sr₂CaCu₂O₈ (BSCCO-

Modification: replace part of Sr atoms with Ba in ordered chiral spiral along c axis: Bi2 (Sr1−x Bax )2 CaCu2 O8 ,

x = 1/φ2 ≈ 0.382

## (VI.1)

Substitution proportion follows the golden ratio. Ba is larger than Sr → creates local lattice distortion → breaks inversion center → chirality. Why This Could Work: BSCCO-2212 is already a superconductor with Tc ≈ 85 K. Chiral modification adds spiral element (δπ ) absent in original structure. By ODTOE: spirality increases effective S of electron pairs, raising Tc . Prediction: Tcmod > Tcorig . Maximum at x ≈ 0.382 = 1/φ2 . fres : for BSCCO: vF ≈ 2 × 105 m/s, a ≈ 5.4 Å → fres ≈ 84 THz (IR). Candidate 2: Graphene Sandwich with Triadic Interlation Graphene (layer A) │ interlayer: Li

Structure:

Graphene (layer B) — rotated by 1.1° (magic angle) │ interlayer: Ca Graphene (layer C) — rotated by 2.2° │ interlayer: Li Graphene (layer A') — rotated by 3.3° (= 3 × 1.1°) ... Triadic Architecture: three graphene layers (A, B, C) with three different rotation angles and two types of interlayers (Li, Ca) in alternating order. Why This Could Work: “Magic angle” graphene (1.1°) already shows superconductivity at Tc ≈ 1.7 K [Cao et al., 2018]. Triadic structure (three layers instead of two) + interlation (Li = electron donor, Ca = phonon spectrum modifier) increases the number of electron channels and raises coherence. ODTOE Prediction: optimal rotation angle is not 1.1°, but δπ × (180/π) ≈ 16.97°. Or: 1.1° × φn for n-th layer. fres : for graphene: vF ≈ 106 m/s, a ≈ 2.46 Å → fres ≈ 920 THz (near IR / visible). High, but achievable with femtosecond lasers. Candidate 3: Lanthanum Hydride with Spiral Structure Composition: LaH₁₀ under pressure, modified by spiral ordering. Context: LaH₁₀ is the Tc record holder under high pressure (Tc ≈ 250 K at 170 GPa, Drozdov et al., 2019). Hydrogen forms a “clathrate” structure around La—almost superconductor at room temperature, but requires pressure. ODTOE Modification: replace the isotropic clathrate H structure with chiral spiral: La(H10−y Dy ),

y = 10/φ ≈ 6.18

## (VI.2)

Substituting part of H with D (deuterium) in proportion φ creates isotopic chirality: heavier D occupy definite positions, creating a spiral “pattern” in the lattice. This breaks isotropy without changing electronic structure. Prediction: Tc increases at y ≈ 6.18. Possibly—sufficient to lower required pressure to technically achievable (< 50 GPa). fres : for LaH₁₀: vF ∼ 5 × 105 m/s, a ∼ 3.7 Å → fres ∼ 305 THz. Candidate 4: Topological Semimetal with Triadic Motif of Nb₃Sn, but with bismuth).

Composition: Nb₃Bi (analogue

Why Bi: bismuth is the only element with odd electron number (Z = 83) and strong spin-orbit coupling. Nb₃Sn is an industrial superconductor (Tc ≈ 18 K). Replacing Sn → Bi introduces: Strong spin-orbit coupling → topological surface states - Odd Z → parity breaking → chirality - A15 structure (Nb3 X)—already triadic (3× Nb per X) ODTOE Prediction: Tc (Nb3 Bi) > Tc (Nb3 Sn) due to chirality. Topological protection of surface states raises S—analogous to how topological insulators protect conduction channels from scattering.

fres : vF (Nb) ≈ 6 × 105 m/s, a ≈ 5.3 Å → fres ≈ 256 THz. 1.7.4

6.4. Summary Table of Candidates ODTOE Modification

Candidate

Base Tc

Chiral BSCCO

85 K

Graphene sandwich

1.7 K

Chiral LaH₁₀

250 K

Nb₃Bi (A15)

~18 K (Nb₃Sn)

fres (THz)

Sr1−x Bax , x = 1/φ2 Three layers + Li/Ca interlation H10−y Dy , y = 10/φ

Bi instead of Sn → chirality

Prediction Tc ↑, max at x = 0.382 Tc ↑↑ at triadic structure Pressure reduction at maintained Tc Tc (Nb₃Bi) > Tc (Nb₃Sn)

6.5. General ODTOE Principle of Room-Temperature Superconductivity

Standard path: lower D0 (cool down → thermal noise ↓ → S ↑). ODTOE path: raise S architecturally: Seff = Sphonon + Schir + Stop

## (VI.3)

where Sphonon is standard phononic coherence (BCS), Schir is contribution from chirality (δπ correction), Stop is topological protection. When Schir + Stop > 0, critical temperature increases: Tcmod = TcBCS ·

1 − (Schir + Stop )

## (VI.4)

For room-temperature Tc = 300 K from base Tc = 85 K (BSCCO): requires Schir + Stop ≈ 0.72. This is a high requirement, but not impossible—topological effects already demonstrate conductance protection at room temperature.

## 1.8 VII. EXPERIMENTAL PROGRAM 1.8.1

7.1. Priority Experiments (Current Technology)

Experiment

Device/Material

What to Measure

E-1

CCR basic

∆R/R at f = fres

E-2

CCR without one radiator Two generators: 120° vs 137.5° BSCCO with x = 0.382 BSCCO with x = 0.5 (control)

## ∆R/R

## E-3 E-4 E-5

EMF at identical rotations Tc Tc

ODTOE Expectation Resonant decrease ~(π − 3)2 ≈ 2% Effect disappears (triadicity broken) Difference ∼ 2% Tc > 85 K Tc ≤ 85 K (no φ-proportion)

7.2. Medium-Term Experiments (Require Specialized Equipment)

Experiment

What Is Needed

Expectation

## E-6: SVR

Superconducting toroidal resonator + THz source MBE setup for multilayer graphene + cryostat Arc melting + X-ray diffraction

Additional photons at δπ -spirality Tc ↑ at triadic vs. dual structure Tc > 18 K

E-7: Triple Graphene E-8: Nb₃Bi

## 1.9 VIII. DEMARCATION Statement

Status

Electricity = directed action Ô

Interpretation [A], consistent with electrodynamics Theoretical consequence [A, B, C]: (π − 3)2 Falsifiable prediction (E-1, E-2) Hypothesis, requires testing (E-3) Hypothesis, consistent with HTSC literature Hypothesis (E-4, E-5) Speculative. Requires Schir + Stop ≈ 0.72

Spiral gap δΨ generates energy CCR reduces resistance at resonance Golden angle 137.5° is optimal Chirality raises Tc φ-proportion of substitution is optimal Room-temperature superconductivity is achievable “Unlimited energy from H”

Not claimed. Claims: increased channel efficiency η

## IX. CONCLUSION

Synthesis of three ODTOE papers [A, B, C] generates a concrete engineering program: Four Devices: 1. Enhanced CCR (9 radiators, φ-geometry, feedback) 2. Spiral Vacuum Resonator (dynamic Casimir via δπ ) 3. Triadic Phase Generator (Tesla + golden angle) 4. Biomimetic Coherent Converter (artificial photosynthesis) Four Room-Temperature Superconductor Candidates: 1. Chiral BSCCO (x = 1/φ2 ) 2. Triple graphene sandwich (Li/Ca interlation) 3. Chiral LaH₁₀ (y = 10/φ) 4. Nb₃Bi (topological chirality) General principle: increase coherence architecturally. Not “cool down” (D0 ↓), but “build structure” (S ↑). Triadic geometry + spiral correction δπ + φ-proportions = three tools for raising S without cooling. Seff = Sphonon + Schir (δπ ) + Stop .

Three ODTOE criteria: triad, spiral, resonance.

1.11 ACKNOWLEDGMENTS AND TOOLS In developing ODTOE theory and all papers based on it, AI tools were used: Claude Sonnet / Opus 4.6 Extended (Anthropic), ChatGPT 5.3 (OpenAI), Google Gemini (Google DeepMind). All substantive decisions belong to the author.

## REFERENCES

[A] Pankratov A.S. Electricity as Directed Action of the Observation Operator: From Charge to New Type Generator // Preprint. — 2025. [B] Pankratov A.S. Atom as Elementary Strange Loop in ODTOE // Preprint. — 2025. [C] Pankratov A.S. The Number π as a Structural Invariant of Self-Consistent Observation // Preprint. — 2025. 1. Pankratov A.S. Theory of Everything: Observer-Dependent (ODTOE) // Preprint. — 2025. — 47 p. 2. Wilson C.M. et al. Observation of the Dynamical Casimir Effect // Nature. — 2011. — Vol. 479. — P. 376. 3. Bardeen J., Cooper L.N., Schrieffer J.R. Theory of Superconductivity // Phys. Rev. — 1957. — Vol. 108. — P. 1175. 4. Cao Y. et al. Unconventional Superconductivity in Magic-Angle Graphene // Nature. — 2018. — Vol. 556. — P. 43. 5. Drozdov A.P. et al. Superconductivity at 250 K in Lanthanum Hydride // Nature. — 2019. — Vol. 569. — P. 528. 6. Engel G.S. et al. Evidence for Wavelike Energy Transfer Through Quantum Coherence in Photosynthetic Systems // Nature. — 2007. — Vol. 446. — P. 782. 7. Scholes G.D. et al. Lessons from Nature About Solar Light Harvesting // Nature Chemistry. — 2011. — Vol. 3. — P. 763. 8. Casimir H.B.G. On the Attraction Between Two Perfectly Conducting Plates // Proc. Kon. Ned. Akad. Wet. — 1948. — Vol. 51. — P. 793. 9. Onnes H.K. The Resistance of Pure Mercury at Helium Temperatures // Commun. Phys. Lab. Univ. Leiden. — 1911. 10. Pankratov A.S. 3, 6, 9: Tesla’s Key Through ODTOE // Preprint. — 2026.