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	<title>Pais Effect - Revision history</title>
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		<title>JonoThora: Create Pais Effect — Navy patent US10144532B2, HEEMFG equations, critical analysis (impossible σ, Hayasaka null), Schwinger threshold</title>
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		<updated>2026-03-14T06:14:23Z</updated>

		<summary type="html">&lt;p&gt;Create Pais Effect — Navy patent US10144532B2, HEEMFG equations, critical analysis (impossible σ, Hayasaka null), Schwinger threshold&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Infobox&lt;br /&gt;
| title      = Pais Effect&lt;br /&gt;
| image      =&lt;br /&gt;
| caption    = Inertial mass reduction via high-energy electromagnetic field generation&lt;br /&gt;
| header1    = Overview&lt;br /&gt;
| label2     = Inventor&lt;br /&gt;
| data2      = Salvatore Cezar Pais&lt;br /&gt;
| label3     = Assignee&lt;br /&gt;
| data3      = United States Department of the Navy&lt;br /&gt;
| label4     = Patent Number&lt;br /&gt;
| data4      = US10144532B2&lt;br /&gt;
| label5     = Filed&lt;br /&gt;
| data5      = April 28, 2016&lt;br /&gt;
| label6     = Granted&lt;br /&gt;
| data6      = December 4, 2018&lt;br /&gt;
| label7     = Expired&lt;br /&gt;
| data7      = January 2023 (maintenance fee lapse)&lt;br /&gt;
| label8     = Core Concept&lt;br /&gt;
| data8      = HEEMFG — High Energy Electromagnetic Field Generation&lt;br /&gt;
| below      = &amp;#039;&amp;#039;The most controversial US government patent in advanced propulsion&amp;#039;&amp;#039;&lt;br /&gt;
}}&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+&lt;br /&gt;
| ⚡️ || [[Electrogravitics]] - [[Electrogravitic Tech]] || [[Electrokinetics]] - [[Electrokinetic Tech]]&lt;br /&gt;
|-&lt;br /&gt;
| 🧲 || [[Magnetogravitics]] - [[Magnetogravitic Tech]] || [[Magnetokinetics]] - [[Magnetokinetic Tech]]&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The &amp;#039;&amp;#039;&amp;#039;Pais effect&amp;#039;&amp;#039;&amp;#039; refers to the claimed mechanism of &amp;#039;&amp;#039;&amp;#039;inertial mass reduction&amp;#039;&amp;#039;&amp;#039; through &amp;#039;&amp;#039;&amp;#039;high-energy electromagnetic field generation&amp;#039;&amp;#039;&amp;#039; (HEEMFG), as described in US Patent 10,144,532 B2 — &amp;quot;Craft using an inertial mass reduction device&amp;quot; — assigned to the &amp;#039;&amp;#039;&amp;#039;United States Department of the Navy&amp;#039;&amp;#039;&amp;#039; and invented by &amp;#039;&amp;#039;&amp;#039;Salvatore Cezar Pais&amp;#039;&amp;#039;&amp;#039;.&lt;br /&gt;
&lt;br /&gt;
The patent describes a craft that reduces its inertial mass by creating a &amp;#039;&amp;#039;&amp;#039;local polarized vacuum&amp;#039;&amp;#039;&amp;#039; through the interaction of high-frequency rotating and vibrating electromagnetic fields on a charged resonant cavity. It is one of several &amp;quot;UFO patents&amp;quot; filed by the Navy that generated significant public interest.&lt;br /&gt;
&lt;br /&gt;
No experimental validation has ever been published. The patent expired in 2023 for non-payment of maintenance fees.&lt;br /&gt;
&lt;br /&gt;
== The Patent ==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Patent Details&lt;br /&gt;
|-&lt;br /&gt;
! Field !! Value&lt;br /&gt;
|-&lt;br /&gt;
| Patent Number || US10,144,532 B2&lt;br /&gt;
|-&lt;br /&gt;
| Title || &amp;quot;Craft using an inertial mass reduction device&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
| Inventor || Salvatore Cezar Pais (Naval Air Warfare Center, Patuxent River, MD)&lt;br /&gt;
|-&lt;br /&gt;
| Assignee || Secretary of the Navy (US Government)&lt;br /&gt;
|-&lt;br /&gt;
| Filed || April 28, 2016&lt;br /&gt;
|-&lt;br /&gt;
| Granted || December 4, 2018&lt;br /&gt;
|-&lt;br /&gt;
| Status || &amp;#039;&amp;#039;&amp;#039;EXPIRED&amp;#039;&amp;#039;&amp;#039; (January 2023, maintenance fee lapse) &amp;lt;ref&amp;gt;USPTO Patent Center. US10144532B2 status: &amp;quot;Patent Expired Due to NonPayment of Maintenance Fees.&amp;quot;&amp;lt;/ref&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| Related patents || US10135366B2 (Room-temperature superconductor); US20190295733A1 (Plasma compression)&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
=== Prosecution History ===&lt;br /&gt;
&lt;br /&gt;
The patent was initially &amp;#039;&amp;#039;&amp;#039;rejected&amp;#039;&amp;#039;&amp;#039; by the USPTO examiner, who cited a lack of demonstrated utility and a theoretical basis that contradicted known physics. The rejection was overcome when &amp;#039;&amp;#039;&amp;#039;Dr. James Sheehy&amp;#039;&amp;#039;&amp;#039;, the Navy&amp;#039;s Chief Technology Officer, submitted a declaration stating:&lt;br /&gt;
&lt;br /&gt;
&amp;quot;the United States needs the patent as a matter of national security... China is already investing significantly in this area.&amp;quot; &amp;lt;ref&amp;gt;Sheehy, J.E. (2017). &amp;quot;Third Party Pre-Issuance Submission.&amp;quot; Remarks on Patent Application US15/141,270. Patent file wrapper, USPTO.&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This was unprecedented — a military official intervening to push through a speculative physics patent.&lt;br /&gt;
&lt;br /&gt;
== Physical Claims ==&lt;br /&gt;
&lt;br /&gt;
The patent claims that by combining three electromagnetic modes on a resonant cavity craft:&lt;br /&gt;
&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;Axial rotation&amp;#039;&amp;#039;&amp;#039; of high-frequency EM fields (spinning charges on the craft surface)&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;High-frequency vibration&amp;#039;&amp;#039;&amp;#039; of the craft surface (acoustic or EM-driven)&lt;br /&gt;
# &amp;#039;&amp;#039;&amp;#039;Curvilinear translation&amp;#039;&amp;#039;&amp;#039; of the charged surface&lt;br /&gt;
&lt;br /&gt;
...the resulting Poynting vector flux can exceed the Schwinger limit for pair production, creating a &amp;#039;&amp;#039;&amp;#039;local polarized vacuum&amp;#039;&amp;#039;&amp;#039; that reduces the effective inertial mass of the craft.&lt;br /&gt;
&lt;br /&gt;
=== Mechanism (as described in patent) ===&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ HEEMFG Mechanism Chain&lt;br /&gt;
|-&lt;br /&gt;
! Step !! Process !! Physics Invoked&lt;br /&gt;
|-&lt;br /&gt;
| 1 || Charge craft surface to high surface charge density σ || Electrostatics&lt;br /&gt;
|-&lt;br /&gt;
| 2 || Rotate charge distribution at high angular velocity ω || Moving charge = current = magnetic field&lt;br /&gt;
|-&lt;br /&gt;
| 3 || Simultaneously vibrate at frequency ν || Accelerating charge = radiation&lt;br /&gt;
|-&lt;br /&gt;
| 4 || Combined rotation + vibration → extreme Poynting vector S&amp;lt;sub&amp;gt;max&amp;lt;/sub&amp;gt; || EM field theory&lt;br /&gt;
|-&lt;br /&gt;
| 5 || S&amp;lt;sub&amp;gt;max&amp;lt;/sub&amp;gt; exceeds vacuum pair-production threshold || Schwinger QED &amp;lt;ref&amp;gt;Schwinger, J. (1951). &amp;quot;On Gauge Invariance and Vacuum Polarization.&amp;quot; &amp;#039;&amp;#039;Physical Review&amp;#039;&amp;#039; 82(5), 664–679. doi:10.1103/PhysRev.82.664&amp;lt;/ref&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| 6 || Vacuum polarization → modified vacuum permittivity/permeability || Quantum vacuum engineering&lt;br /&gt;
|-&lt;br /&gt;
| 7 || Modified vacuum → reduced effective inertial mass || Novel claim&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Key Equations ==&lt;br /&gt;
&lt;br /&gt;
=== Equation 1: HEEMFG Poynting Vector ===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;S_{\max} = f_G \frac{\sigma^2}{\epsilon_0} \left[R_r \omega + R_v \nu + v_R\right]&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where:&lt;br /&gt;
* &amp;lt;math&amp;gt;f_G&amp;lt;/math&amp;gt; = geometric shape factor (= 1 for disc)&lt;br /&gt;
* &amp;lt;math&amp;gt;\sigma&amp;lt;/math&amp;gt; = surface charge density (C/m²)&lt;br /&gt;
* &amp;lt;math&amp;gt;\epsilon_0&amp;lt;/math&amp;gt; = permittivity of free space&lt;br /&gt;
* &amp;lt;math&amp;gt;R_r&amp;lt;/math&amp;gt; = radius of rotation (m)&lt;br /&gt;
* &amp;lt;math&amp;gt;\omega&amp;lt;/math&amp;gt; = angular frequency (rad/s)&lt;br /&gt;
* &amp;lt;math&amp;gt;R_v&amp;lt;/math&amp;gt; = vibration amplitude (m)&lt;br /&gt;
* &amp;lt;math&amp;gt;\nu&amp;lt;/math&amp;gt; = vibration frequency (Hz)&lt;br /&gt;
* &amp;lt;math&amp;gt;v_R&amp;lt;/math&amp;gt; = translation speed (m/s)&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Example from patent:&amp;#039;&amp;#039;&amp;#039; σ = 50,000 C/m², disc radius = 2 m, ω = 30,000 RPM → S&amp;lt;sub&amp;gt;max&amp;lt;/sub&amp;gt; ~ 10²⁴ W/m².&lt;br /&gt;
&lt;br /&gt;
=== Equation 2: Vibration Mode ===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;S_{\max} = f_G \frac{\sigma^2}{\epsilon_0} \left[(R_v \nu^2) \cdot t_{\text{op}}\right]&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;t_{\text{op}}&amp;lt;/math&amp;gt; is the operational time of acceleration. This equation claims that even &amp;#039;&amp;#039;&amp;#039;weakly charged objects&amp;#039;&amp;#039;&amp;#039; (σ ~ 1) can interact strongly with the quantum vacuum if vibrated at sufficiently high frequency in an acceleration mode.&lt;br /&gt;
&lt;br /&gt;
=== Equation 3: Pair Production Rate ===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;2\gamma \frac{dm}{dt}\bigg|_{pp} c^2 = S_{\max} \cdot A_S&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;A_S&amp;lt;/math&amp;gt; is the surface area and &amp;lt;math&amp;gt;\gamma&amp;lt;/math&amp;gt; is the Lorentz factor.&lt;br /&gt;
&lt;br /&gt;
=== Equation 4: Vacuum Energy Boundary ===&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\frac{S_{\max}}{c} = \frac{\hbar \nu_v^4}{8\pi^2 c^3}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;\nu_v&amp;lt;/math&amp;gt; is the frequency of quantum vacuum fluctuations. Setting &amp;lt;math&amp;gt;S_{\max}/c \sim \epsilon_0 E^2&amp;lt;/math&amp;gt; with the Schwinger critical field &amp;lt;math&amp;gt;E_c = m_e^2 c^3 / (\hbar e) \approx 1.3 \times 10^{18}&amp;lt;/math&amp;gt; V/m gives &amp;lt;math&amp;gt;\nu_v \sim 10^{22}&amp;lt;/math&amp;gt; Hz (gamma-ray frequency range).&lt;br /&gt;
&lt;br /&gt;
=== Equation 5: Hayasaka Weight Reduction (referenced) ===&lt;br /&gt;
&lt;br /&gt;
The patent cites the Hayasaka &amp;amp; Takeuchi gyroscope experiment: &amp;lt;ref&amp;gt;Hayasaka, H. &amp;amp; Takeuchi, S. (1989). &amp;quot;Anomalous Weight Reduction on a Gyroscope&amp;#039;s Right Rotations around the Vertical Axis of the Earth.&amp;quot; &amp;#039;&amp;#039;Physical Review Letters&amp;#039;&amp;#039; 63(25), 2701–2704. doi:10.1103/PhysRevLett.63.2701&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Delta W_R(\omega) = -2 \times 10^{-10} M r_{eq} \omega&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
where &amp;lt;math&amp;gt;M&amp;lt;/math&amp;gt; is rotor mass, &amp;lt;math&amp;gt;r_{eq}&amp;lt;/math&amp;gt; is equivalent radius, and &amp;lt;math&amp;gt;\omega&amp;lt;/math&amp;gt; is angular velocity.&lt;br /&gt;
&lt;br /&gt;
== Critical Analysis ==&lt;br /&gt;
&lt;br /&gt;
=== The Surface Charge Density Problem ===&lt;br /&gt;
&lt;br /&gt;
The patent&amp;#039;s example uses σ = 50,000 C/m². This is physically unrealizable:&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Surface Charge Density Comparison&lt;br /&gt;
|-&lt;br /&gt;
! System !! σ (C/m²) !! Notes&lt;br /&gt;
|-&lt;br /&gt;
| Van de Graaff generator || ~10⁻⁵ || Atmospheric breakdown limit&lt;br /&gt;
|-&lt;br /&gt;
| Lightning channel || ~10⁻³ || Transient, destructive&lt;br /&gt;
|-&lt;br /&gt;
| Best laboratory conditions || ~10⁻² || Vacuum, specialized surfaces&lt;br /&gt;
|-&lt;br /&gt;
| &amp;#039;&amp;#039;&amp;#039;Pais patent requirement&amp;#039;&amp;#039;&amp;#039; || &amp;#039;&amp;#039;&amp;#039;50,000&amp;#039;&amp;#039;&amp;#039; || ~10⁷× beyond any achieved value&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The required surface charge density is approximately &amp;#039;&amp;#039;&amp;#039;seven orders of magnitude&amp;#039;&amp;#039;&amp;#039; beyond any experimentally achieved value. At such charge densities, the electrostatic energy would vastly exceed the material binding energy — the craft would explosively disintegrate.&lt;br /&gt;
&lt;br /&gt;
=== The Hayasaka Problem ===&lt;br /&gt;
&lt;br /&gt;
The patent heavily references the Hayasaka gyroscope weight-reduction experiment (1989). However:&lt;br /&gt;
* The Hayasaka result was &amp;#039;&amp;#039;&amp;#039;never independently replicated&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
* Multiple groups attempted replication and found &amp;#039;&amp;#039;&amp;#039;null results&amp;#039;&amp;#039;&amp;#039;: &amp;lt;ref&amp;gt;Nitschke, J.M. &amp;amp; Wilmarth, P.A. (1990). &amp;quot;Null result for the weight change of a spinning gyroscope.&amp;quot; &amp;#039;&amp;#039;Physical Review Letters&amp;#039;&amp;#039; 64(18), 2115–2116. doi:10.1103/PhysRevLett.64.2115&amp;lt;/ref&amp;gt;&lt;br /&gt;
  * Nitschke &amp;amp; Wilmarth (1990): null&lt;br /&gt;
  * Faller et al. (1990): null&lt;br /&gt;
  * Imanishi et al. (1991): null&lt;br /&gt;
* The result is &amp;#039;&amp;#039;&amp;#039;generally considered an experimental artifact&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
=== Dimensional Analysis Issues ===&lt;br /&gt;
&lt;br /&gt;
Several of the patent&amp;#039;s equations have been criticized for dimensional inconsistencies. Equation 1 appears to mix velocity units (Rω in m/s) with frequency units (Rν in m/Hz), which requires implicit conversion factors not stated in the patent.&lt;br /&gt;
&lt;br /&gt;
=== The Navy&amp;#039;s Motivation ===&lt;br /&gt;
&lt;br /&gt;
The most likely explanation for the patent&amp;#039;s existence is &amp;#039;&amp;#039;&amp;#039;strategic technology hedging&amp;#039;&amp;#039;&amp;#039;:&lt;br /&gt;
* If the physics is real, the Navy secures priority&lt;br /&gt;
* If not, the cost of filing is negligible&lt;br /&gt;
* Dr. Sheehy&amp;#039;s declaration citing Chinese competition suggests &amp;#039;&amp;#039;&amp;#039;geopolitical motivation&amp;#039;&amp;#039;&amp;#039; rather than scientific assessment&lt;br /&gt;
* The patent&amp;#039;s expiration (non-payment of maintenance fees) suggests the Navy is &amp;#039;&amp;#039;&amp;#039;no longer actively pursuing&amp;#039;&amp;#039;&amp;#039; the technology&lt;br /&gt;
&lt;br /&gt;
== Relationship to Established Physics ==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Pais Effect vs Established Frameworks&lt;br /&gt;
|-&lt;br /&gt;
! Element !! Established Science !! Pais Extension&lt;br /&gt;
|-&lt;br /&gt;
| Schwinger pair production || ✓ Experimentally verified (SLAC, CERN) || Proposed as primary mechanism — threshold calculation correct in principle&lt;br /&gt;
|-&lt;br /&gt;
| Vacuum polarization || ✓ QED radiative corrections measured || Extrapolated to macroscopic inertial mass modification — &amp;#039;&amp;#039;&amp;#039;not established&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
|-&lt;br /&gt;
| EM Poynting vector || ✓ Standard classical EM || Applied to surface charge rotation — standard physics, but σ values unrealistic&lt;br /&gt;
|-&lt;br /&gt;
| Inertial mass reduction || Connected to EM fields via [[Kaluza-Klein Unification]] KK theory || Direct claim — &amp;#039;&amp;#039;&amp;#039;no experimental evidence&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Connection to Other Theories ==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
|+ Cross-Theory Comparison&lt;br /&gt;
|-&lt;br /&gt;
! Theory !! Mechanism !! Contrast with Pais&lt;br /&gt;
|-&lt;br /&gt;
| [[Ning Li|Li-Torr]] || Superconductor → amplified B_g via Cooper pairs || Bottom-up condensed matter approach vs Pais top-down vacuum engineering&lt;br /&gt;
|-&lt;br /&gt;
| [[Heim Theory]] || 8D metric coupling → gravitophoton || Geometric vs vacuum polarization mechanism&lt;br /&gt;
|-&lt;br /&gt;
| [[Biefeld-Brown Effect]] || High-voltage capacitor → force || Electrostatic vs EM rotational; Brown&amp;#039;s V² vs Pais&amp;#039;s σ²ω&lt;br /&gt;
|-&lt;br /&gt;
| [[Woodward Effect]] || Mach&amp;#039;s principle mass fluctuation || Gravitational scalar vs vacuum EM; both target mass modification&lt;br /&gt;
|-&lt;br /&gt;
| [[Gravitoelectromagnetism]] || Weak-field GR → Maxwell-like gravity || GEM is established; Pais goes beyond by claiming active vacuum engineering&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
== Significance for Magneto Speeder ==&lt;br /&gt;
&lt;br /&gt;
The Pais effect is relevant to the [[Magneto Speeder]] primarily as a &amp;#039;&amp;#039;&amp;#039;cautionary tale&amp;#039;&amp;#039;&amp;#039; and as a source of specific equations:&lt;br /&gt;
&lt;br /&gt;
# The HEEMFG equations (1–4) provide a mathematical framework for EM-vacuum interaction that — &amp;#039;&amp;#039;&amp;#039;if the threshold could be reached&amp;#039;&amp;#039;&amp;#039; — describes a physically meaningful process (Schwinger pair production is real)&lt;br /&gt;
# The engineering parameters are impossibly far from current technology (σ = 50,000 C/m²)&lt;br /&gt;
# A more realistic approach: combine HEEMFG-style field rotation with [[Gravitomagnetic London Moment|superconductor amplification]] to lower the required EM field intensities&lt;br /&gt;
# The patent&amp;#039;s disc geometry and concentric cavity design have influenced the [[Magneto Speeder]]&amp;#039;s structural conception&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* [[Thomas Townsend Brown]]&lt;br /&gt;
* [[Biefeld-Brown Effect]]&lt;br /&gt;
* [[Heim Theory]]&lt;br /&gt;
* [[Woodward Effect]]&lt;br /&gt;
* [[Ning Li]]&lt;br /&gt;
* [[Gravitoelectromagnetism]]&lt;br /&gt;
* [[Kaluza-Klein Unification]]&lt;br /&gt;
* [[Electrogravitics]]&lt;br /&gt;
* [[Magnetogravitics]]&lt;br /&gt;
* [[Magneto Speeder]]&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&amp;lt;references /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Category:Physics]]&lt;br /&gt;
[[Category:Technology]]&lt;br /&gt;
[[Category:Electrogravitic Tech]]&lt;br /&gt;
[[Category:Magnetogravitic Tech]]&lt;br /&gt;
[[Category:Clan Tho&amp;#039;ra]]&lt;/div&gt;</summary>
		<author><name>JonoThora</name></author>
	</entry>
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