https://www.glgeo.com.cn

A large even integer number can be expressed as the sum of two prime numbers

                     The proof of the Goldbach conjecture is based on Chen Jingrun's theorem and negative space

Jianhua Li, Feng, Xie , Lee  Xie Li, Ganquan Xie

Dayuling Supercomputing Science Center, CHINA

Wangcheng, Changsha, Hunan, China

GL GEOPHYSICAL LSBORATORY, USA

                                                                                                       August 16, 2025

Abstract

Chen Jingrun proved that a large even integer number X can be expressed as

1. X = p + p1

or

2. X = p + p2 p3

Here p, p1, p2 , p 3 are prime numbers.

By negative space theory, the second option is excluded. We proved that a large even integer number can be expressed as the sum of two prime numbers .

Intrduction

Chen Jingrun's paper is a monument to Chinese mathematics in the world. He brought the sieve method to its pinnacle of glory.

Chen Jingrun, a true survivor of the Cultural Revolution, completed his proof in January 1966. Professor Min Sihe reviewed it and found no flaws. Pan Chengdong also reviewed it and found no flaws. Professor Guan Zhaozhi, an expert in functional analysis, Wu Wenjun, a topology expert, and Professor Min, a number theory expert, and Professor Min Sihe, a functional theory expert, jointly recommended it for publication in Volume 17 of the Chinese Science Bulletin in September 1966. In 1973, the full text of Chen's theorem was published in Chinese Science.  From 1973 to his death in 1996, Chen Jingrun worked for another 23 years. He tried every possible way to eliminate his second option possibility: a large even numbers = p + p2 p3. This left only option 1, large even numbers = p + p1, where p, p1, p2 , p 3 are prime numbers. if so, the Goldbach conjecture was proved. However, he tried every possible way to improve the sieve method, but are all fail. He didn't know about negative space. He also didn't know that this was a problem that couldn't be proved in positive space. Chen Jingrun's extreme efforts could only prove

 1 + 2.

Proof of GoldBach conjecture 

Based on Chen Jingrun's theorem and the theory of Negative Space,  we can prove that if there is option 2,

                                   X = p +p2 p3 ,                    (1)

then the option 1 must exist. 

                                    X = p +p1,                        (2)

Is hold. Goldbach  conjecture is proved.

A large even integer number can be expressed as the sum of two prime numbers.

Thus, the 283-year-old puzzle was solved.

Positive Space And Negative Space And Invisible Science

Jianhua Li, Feng Xie, Lee Xie and Ganquan Xie

1 Dayuling Super Science Center, Wang Chen, Changsha, Hunan, China

2 GL Geophysical Laboratory, USA

Like in the situation where  there was no previous imaginary number i =√(1) , , we can not solve equation x2+1=0. 

What happens, if science did not accept  imaginary number i=√(-1) ?

The same thing is happening: Invisible science problems cannot be solved  if science does not accept "Positive Space and Negative Space".

We ask question : in polar coordinates of a two-dimensional plane, (ρ,θ),ρ≥0,  is  a point in the plane; for the same θ, where is  (-ρ,θ) ? This question can interest students from middle school to university. This topic concerns professors and scientists at all levels. In this paper, we propose positive space and negative space and invisible science .

Let ( x,y,z) be a point in 3D space, r = ±√( x2+y 2+z 2), the r =+√( x2+y 2+z 2), used only as the radius of the point

 ( r, θ, φ ) of the 3D spherical coordinates in sciences previously.  In 3D spherical coordinate, the set of the points

( r, θ, φ ) with positive radial coordinate,r ≥0, 0≤r≤+∞ , called to be 3D positive space, the conventional three dimensional space we inhabit. For same ( θ, φ ) of the points in the positive space, no point ( -r, θ, φ ) exists in conventional three dimensional positive space. Thus, we propose a negative space, we now select the r =-√( x2+y 2+z 2),  a new negative space is defined as the set of these points (- r, θ, φ ). In 3D spherical coordinate, the set of the points,  (- r, θ, φ ),with negative radial coordinate, -∞ <r≤-0, is defined to be the 3D negative space.The origin +0 of positive space can be an arbitrary location. For a given 3D sphere coordinate in positive space, point,  ( r, θ, φ ),in the  positive space and point,  ( -r, θ, φ ), in negative space are defined as corresponding points with the same latitude and longitude ( θ, φ ).  The origin +0 of the positive space and the origin -0 of the negative space are corresponding points, but distinct points. The 3D negative space is corresponding space of the 3D positive space.

By 3D geometry knowledge, every sphere surface is  a 2D double-sided curve surface or bilateral curve surface. The positive space lies on the outside lateral of the spherical surface, with the normal directed outward and with a positive radial coordinate ; the radius from the positive origin  to the point  is positive. The negative space lies on the inside lateral of the spherical surface, with the normal directed inward and with negative radial coordinate ,  the radius from the negative origin  to the point  is negative. The 3D positive space and negative spaces are not connected. The negative space and the positive space have no intersection. The negative space and the positive space are Euclid geometry space, Gravity, acoustic, elastic and electromagnetic equations and science hold true in positive space and negative Space.

The debate on negative space theory resembles arguments over the scientific merit of Copernicus, Newton, Maxwell, and Einstein's initial publications.

Please read "Based on negative space theory, an advanced GLHUA cloak discovered in [22] can be made from ordinary materials with a finite refractive index greater than one without metamaterials. Creating and product producing completely perfectly GLHUA invisible  cloaks is not a myth but a practical task for the next step."

" The G sphere can be understood scientifically, and the negative space that induces it can also be understood scientifically. Negative space theory has been confirmed by the invisible G sphere and invisible science. Positive space science is global visible, scattering science and can be local invisible; Nnegative space science is global invisible, nonscattering science, can be local visible. 

" The Simulations confirm the perfect invisibility of the G sphere and the GLHUA cloak without infinite speed violation, without exceeding the speed of light and without time delay, overcoming the infinite phase velocity violation and superluminal propagation fundamental problems in Pendry's cloak (2006, [4], Science 312, 1125907) and the time delay imperfect invisibility problem in Ulf's cloak (2009 [7], Science 323, 110; 2011 [8])

------------------------------

Ganquan Xie Jianhua Li

Professor

Dayuling Super Science Center

Wang Chen Changsha China

https://www.zhihu.com/question/66793557/answer/262054935

GL Geophysical Laboratory, USA 

Case # 01324645: Community: My Community Post Rejected- Off Topic [ ref:!00D610Jfq5.!500TQ0XvFtl:ref ]

Inbox

communitysupport@aaas.org communitysupport@aaas.org via q9bb8y0y87ft8m.61-jfq5eac.usa550.bnc.salesforce.com 

6:28 AM (44 minutes ago)

to me

8/13/2025

AAAS Member Number: 60991026

Hi Ganquan Xie,

We’re glad you want to get in on the AAAS Community discussion! Please make edits to your post in the 2025 Introduction thread, and introduce yourself based on the prompt created.

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In case you need to reference your post, it will be below:
 

Dear Professor Marietta Damond and every professor,

Physics, Mathematics, Social Sciences, Thinking Psychology, and Health Sciences unite to reseach and discuss
Positive Space and Negative Space and Invisible Science
I am Ganquan Xie, I have created my BIO in
https://members.aaas.org/profile?UserKey=3b210144-beac-44be-b285-0196f22040bd

Primary Section 

• Physics (Section B)

Secondary Section 

• Mathematics (Section A)

Tertiary Section 

• Social, Economic, and Political Sciences (Section K)

Primary Scientific Discipline 

• Other Earth Science

Current / Expected Discipline / Field 

• Physical Sciences

Yrs of Work Experience in Current Field 

• 24

Honors and Awards

Ganq Xie and Jianh Li received Chinese Scientific Congress Award 1978 on 3DFEM in 1972

Chinese Scientific Congress

1978

GL Geo[physicall Laboratory Software Best 0f 2019 Berkeley

CA Berkeley Award

2019

Lax wrote "He (Xie) is very knowledgeable and inventive scientist with exellent phys,math, num,

lax@courant.nyu.edu

2001

P.D.LLax praize "XIe is a very effective user of the computer, he is a demon for hard work"

courant.nyu.edu

1986

Employment Sector 

• Currently unemployed

Employment Sector Self Describe 

• retailed disability Volunteer contribution and innovation scientists

Job Function 

• Scientific Applied Research

Professional and Occupational Licenses 

• LBL licenses

Educational Attainment 

• Doctoral degree

Educational Attainment Self Describe 

• PhD and Post-doctoral

School 

• Conrant Institute, NYU at P.D.LAX

PHD 

Degree Year 

• 1984

Contributions

1 to 5 of 12 total

Positive Space and Negative Space and Invisible Science

Posted By ganquan xie 08-04-2025 10:17 AM

Found In Library: Physics (Section B)

Positive Space and Negative Space and Invisible Science

Posted By ganquan xie 08-04-2025 10:17 AM

Found In Egroup: Physics (Section B) \ view thread

Positive Space And Negative Space And Invisible Science Jianhua Li, Feng Xie, Lee Xie and Ganquan Xie 1 Dayuling Super Science Center, Wang Chen, Changsha, Hunan, China 2 GL Geophysical Laboratory, USA Like in the situation where there was no previous imaginary number i =√(1) , , ...

Positive Space and Negative Space and Invisible Science

Posted By ganquan xie 08-04-2025 10:07 AM

Found In Egroup: Social, Economic, and Political Sciences (Section K) \ view thread

Positive Space And Negative Space And Invisible Science Jianhua Li, Feng Xie, Lee Xie and Ganquan Xie 1 Dayuling Super Science Center, Wang Chen, Changsha, Hunan, China 2 GL Geophysical Laboratory, USA Like in the situation where there was no previous imaginary number i =√(1) , , we can not solve ...

Positive Space and Negative Space and Invisible Science

Posted By ganquan xie 08-04-2025 10:06 AM

Found In Library: Social, Economic, and Political Sciences (Section K)

Positive Space and Negative Space and Invisible Science

Posted By ganquan xie 08-04-2025 09:59 AM

Found In Library: Mathematics (Section A)

Like in the situation where there was no previous imaginary number i =√(1) , we can not solve equation x2+1=0 , What happens, if science did not accept imaginary number,i =√(1)? The same thing is happening: Invisible science problems cannot be solved if science does not accept "Positive Space and ...

Positive Space and Negative Space and Invisible Science

Posted By ganquan xie 08-04-2025 09:59 AM

Found In Egroup: Mathematics (Section A) \ view thread

Positive Space And Negative Space And Invisible Science Jianhua Li, Feng Xie, Lee Xie and Ganquan Xie 1 Dayuling Super Science Center, Wang Chen, Changsha, Hunan, China 2 GL Geophysical Laboratory, USA Like in the situation where there was no previous imaginary number i =√(1) , , ...

Positive Space and Negative Space and Invisible Science

Posted By ganquan xie 08-03-2025 10:27 PM

Found In Library: Physics (Section B)

Positive Space and Negative Space and Invisible Science

Posted By ganquan xie 08-03-2025 10:27 PM

Found In Egroup: Physics (Section B) \ view thread

Positive Space And Negative Space And Invisible Science Jianhua Li, Feng Xie, Lee Xie and Ganquan Xie 1 Dayuling Super Science Center, Wang Chen, Changsha, Hunan, China 2 GL Geophysical Laboratory, USA Like in the situation where there was no previous imaginary number i =√(1) , , ...

Positive Space and Negative Space and Invisible Science

Posted By ganquan xie 08-03-2025 05:20 PM

Found In Egroup: Physics (Section B) \ view thread

Positive Space And Negative Space And Invisible Science Jianhua Li, Feng Xie, Lee Xie and Ganquan Xie 1 Dayuling Super Science Center, Wang Chen, Changsha, Hunan, China 2 GL Geophysical Laboratory, USA Like in the situation where there was no previous imaginary number i =√(1)

Positive Space and Negative Space and Invisible Science

Posted By ganquan xie 08-03-2025 05:19 PM

Found In Library: Physics (Section B)

Positive Space And Negive Space and Invisible Science is imporant new physics. The debate on negative space theory resembles arguments over the scientific merit of Copernicus, Newton, Maxwell, and Einstein's initial publications. Please read "Based on negative space theory, an advanced GLHUA cloak discovered ...

https://members.aaas.org/profile/contributions/contributions-list

Please your  instruction and reply

Sincerely

Ganquan Xie 

For your records: your current membership will remain active through 6/30/2026. Thank you for joining AAAS on 6/23/2025, and helping us achieve our mission through our programs which advance science and serve society!

For self-service help: explore My Profile, where you can view your member number, change your password, update your contact preferences, sign up for autorenewal, and more!

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MemberCentral Support, Specialist

NEWS

Wildfire results from small fire flames in a dry, high - altitude  sky by Super Science of Ganquan Xie GX released in X.com

野火是由干燥高海拔天空中的小火焰引起的，作者： 谢干权, GX 的超级科学

07-12 2025 at 5:30 AM, It is rain in Berkeley area. It is  raining in SUMMER

08-24 2024 at 8:20 AM, It was rain in Berkeley area. It is  raining in SUMMER, past many year there was no rain in Summer, which is relative

to global weather and global and local earthquake?

Using Car for global and local earthquake exploration as follows

USING CAR FOR GLOBAL LOCAL GL EARTHQUAKE EXPLORATION

JianhuaLi1,Ganquan Xie1,2, Ernest Majer3, Micheal Oristagorio 4

1GL Geophysical Laboratory, Berkeley,USA

1413 Glendale Avenue, Berkeley, CA 94708, li.jianhua275@gmail.com

2Lawrence Berkeley National Laboratory, USA

3Yale University, USA, 

VERSION 1, July 8, 2024

                                                   Abstract

Discover what is possible, we propose a new method “using car for global local GL earthquake exploration“. The elementary experiment is processing in private supplement parking space off street in 1413 Glendale Avenue, Berkeley, CA 94708,USA. From 2019 to now, many earthquake has been happened in east and west between Pacific ocean, and in south and north of Hymalaya Mountain. Earthquakes are disasters all over the world. There are cars in every where and in everyone in the USA, Russia, China, India, Npel, Japan, Australia, etc in the world. Most cars are running every where and every day. Each car can collect Earthquake information, each car are collecting earthquake information.  In each car, these earthquake electromagnetic seismic acoustic flow temperature information is scattered. No one found these earthquake information in each car, no one use these earthquake information in each car. We discover there are these valuable earthquake information in each car, Individual car earthquake information is local, every car earthquake information is global in the world, therefore, using car for global local GL earthquake exploration and investigation is novel idiscover and breakthrough high perform effective AI method. From 1988, we have been used my old Toyato 4NFX602 car for collecting Earthquake information in San Francisco California. In December 17, 3:40 AM, 2022, we reported the EL Cerrito Earthquake using my car Earthquake earthquake electromagnetic seismic acoustic flow temperature information. 1 hour late, USGS reported this earthquake. My home is very high sharp slop with larger and firm MuChun base which is very good shockproof structure with red protective wall. From 2018 to June 24, 2024, My car had parked in very sharp slop beside the red wall..  By our method these earthquake information are high density layer by layer collect and stored in this car. By a lucky Berkeley city fire warning alert notice,  my car was moved down and  parked in  the My  private supplemental parking space off street in 1413 block of Glendale avenue.  There are cars up and down running every day, my parked car can collect lots of earthquake information from every running cars. 15 year valuable earthquake information in California area have been collected and stored in my this car 4NFX602.

We proposed the method to interpre these valuable earthquake information for California earthquake exploration and reporting .  Every time. Human civilization occurred and developed in the past on the earth with a history of 5 billion years, it was destroyed by a major earthquake. Therefore, it is common global earthquake science to study global earthquake prediction and earthquake prevention. We use my very old parked car toyato 2000 to investigate and collect local earthquake wave field information. It is very high valuable that 15 year valuable earthquake earthquake electromagnetic seismic acoustic flow temperature information in California area have been collected and stored in my this car 4NFX602 with vehicle ID 1NXBR12Z458635. My car has been reconstructed to collect and store earthquake data for 15 years. My car can no be used to savely drive. How to collect earthquake data while driving normally and safely that is next very important research topic. .

There is no cap between Earthquake exploration and geophysical exploration. The earthquake wave from source in 10 or 20 km deep propagate to the earth surface, the earthquake wave propagation have to through the  geophysical subsurface . The global earthquake around the world will become more large fracture and more frequency in the next decade. Research project of  “USING CAR FOR GLOBAL LOCAL GL EARTHQUAKE EXPLORATION” and “SET UP EARTHQUAKE POLICE FOR GLOBAL LOCAL GL EARTHQUAKE EXPLORATION”  are very necessary.

Reference

1. Xie, Ganquan,  Lee Xie, Ernest Majer, Micheal Oristagolio, at al , Electromagnetic and seismic exploration on Global and Local earthquake in the world, IEEE, Piers proceeding, 2023, https://ieeexplore.ieee.org/document/10221297

2        Xie, Ganquan, Jianhua Li, Lee Xie, Ernest Majer, Micheal Oristagolio, at al, Inversion by aftershocks to investigate earthquiake;

IEEE, https://ieeexplore.ieee.org/document/10221494

3.    Xie, G., J. Li, E. L. Majer, and D. Zuo, “ML Oristaglio, 3-D electromagnetic modeling and

         nonlinear inversion,” Geophysics, Vol. 65, No. 3, 2000.

 4.   Xie, G., J. Li, L. Xie, F. Xie, and J. Li, “The 3D GL EM-flow-heat-stress coupled

      modeling,” PIERS Online, Vol. 3, No. 4, 411–417, 2007.

5.  Li, J., L. Xie, F. Xie, S. Cao, and G. Xie, “GLC cloud computing method and simulations

  of  GLHUA outer layer cloak,” IEEE, 805–808, May 22, 2017.

6.  Xie, G., Li, J., Anti atomic bomb, Piers Proc, 2024. https://ieeexplore.ieee.org/document/10618865

7.  Xie, G., Li, J., Super Sciences, PIERS Proc. 2024

8.  Xie, G., Li, J., Immigration to Mars,  PIERS Proc. 2024

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Discovered Groundwater In 2014-2016

GL Geophysical Laboratory

Ganquan Xie1, Jianhua Li2

1 Professor In GL Geophysical Laboratory, GLGEO

2, Director Professor In GL Geophysical Laboratory GLGEO

My name is Ganquan Xie, 82, phone 650 517 6468, 5108370413, address 1413 glendale avenue, Berkeley, ca 94708. email glganquan@gmail.com, old low income volunteer Global earthquake scientist , in www.google.com search "ganquan Xie". My car was parked in my private parking space off street in 1413 glendale avenue. My car 4nfx602 has not been driven since May 2019. My parked car has been using to collect and store earthquak information since 2018. My wife Jianhua Li, 1413 Owner, She suffered stroke. Blindness, Osteonecrosis, and very high blood pressure, inflammation of caesarean section wound as follows 

Jianhus Li's wheel chair is partked here.

As early as 2014 to 2016, old earthquake and geophysical scientists Xie ganquan and Li Jianhua discovered groundwater 50 meters in front of the 1413 private parking space on the right side of Glende Avenue on the west side of Berkeley Hill, The Chinese News World Daily reported on August 13 2016 that Chinese scientists Ganquan Xie and Li Jianhua Li on the west side of Berkeley discovered groundwater. see Chinese World Daily above. In July 14, 2016, The Chinese News World Daily reported  that chinese americal scientist Ganquan Xie has been doing earthquake exploration as follows.

Ten years have passed since then, and the groundwater has surfaced to land. A large area of long-term water flow has formed on the road, causing  on dangerous roads, as follows

Based our global local  earthquake exploration uing my parked car  in my 1413 private parking space, we find that In the Grendel Valley, there are earthquake seismic and geophysical groundwater problems, both relative each other. These problem are very important for people's safe.  Except us, other people never find these risk problems 

 In December 17, 3:40 AM, 2022, we reported the EL Cerrito Earthquake using my car Earthquake earthquake electromagnetic seismic acoustic flow temperature information.After We

reported,  1 hour late ,USGS reported this earthquake

From July 18  2024 to now,  In my private property supplement parking  space off street in 1413 Glendale, we are doing Easrthquake a nd Undergraound water experiments for causion of the underground and relationshipo with  global local earthquake and weather.

Based our global local  earthquake exploration uing my parked car  in my 1413 private parking space, we find that In the Grendel Valley, there are earthquake seismic geophysical groundwater problems. These problem are very important for people's safe.  Except us, other people never find these risk problems. Therefore Berkeley officials and police officers should protect our  Earthquake an undergraound water research. On August 2, 2:00

to 2:50 PM, By a big red fire truck, Berkeley City Fire department Supervisor Victor leading 6 fire member colleagues come Glendale 1413 to inspect my Earthquake and underground water research experiment site in my private parking space. There is no any fire harzad to find.  Victor understang and support our volunteer earthquake and underground water research. Thanks to Berkeley City Fire department Supervisor Victor and his colleagues. Welcome them coming to instruct us again.

Edidences of 1413's private parking space off street in glendale avenue:

1. 1413's zoning permet by Berkeley city permit  in 3/27/1974, see wrting in read frame

"supplement parking space in glendale" for 1413

2 , 1413's zoning permet by Berkeley city permit  in 3/7/1963, see wrting in read frame

"special condition, supplement parking space in glendale" for 1413

3. 1413 Glebdale's history document "three car off street parking",see wrting in read frame

evidence 1

evidence 2

evidence 3

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