Topology mapping system based on zero-point mapping and mapping method thereof

Abstract

The application discloses a kind of topology structure mapping system and mapping method based on zero point mapping.The method locates zero point by measuring canonical invariant in sending end, maintains zero point locking state by closed loop feedback, establishes the topology mapping relationship between sending end zero point and receiving end zero point, encodes the topology structure to be mapped into the structure relationship relative to zero point, transfers zero point mapping to receiving end, reconstructs zero point based on zero point mapping in receiving end and reconstructs all topology structure of sending end from zero point.Zero point mapping transmission does not pass through space propagation, is not limited by light speed, and the topology structure mapping effect is irrelevant to distance.The application is suitable for interstellar communication, deep space exploration data mapping, quantum network node interconnection and other application scenarios.

Description

Technical Field

[0001] This invention relates to the fields of topology information mapping and space communication technology, specifically to a topology mapping system and method based on zero-point mapping. This invention can be applied to applications requiring topology mapping over long distances, such as interplanetary communication, deep space exploration data transmission, and quantum network node interconnection. Background Technology

[0002] The core challenge facing interstellar communication is distance. Current communication methods rely on the propagation of electromagnetic waves in space, which is limited by the speed of light, and signal delay increases linearly with distance. For example, communication between Earth and Mars has a signal delay of 4 to 24 minutes; for interstellar communication, the delay is measured in years. This delay fundamentally limits humanity's ability to establish real-time communication and control systems within the solar system and even the Milky Way galaxy. Existing interplanetary communication schemes have the following shortcomings: (a) The speed of light limitation. Electromagnetic waves travel at approximately 300,000 kilometers per second in a vacuum. This speed is acceptable on a solar system scale, but it is completely insufficient for communication needs on an interstellar scale. The nearest star system (Proxima Centauri) is about 4.2 light-years away from Earth, and a single communication delay can exceed four years. (ii) Signal attenuation. The energy density of electromagnetic waves decreases with the square of the distance during propagation in space. Signal attenuation is extremely severe at interstellar distances, requiring huge transmission power and extremely high receiving sensitivity. (iii) Extremely high pointing accuracy is required. The pointing accuracy of interstellar communication links increases exponentially with distance. On an interstellar scale, any tiny pointing deviation will lead to the complete loss of signal. (iv) Lack of communication solutions without spatial paths. Existing communication technologies all rely on signal propagation in space, and there is no solution that can achieve topological mapping without spatial propagation. Therefore, existing interplanetary communication schemes suffer from problems such as light speed limitations, signal attenuation, and extremely high requirements for pointing accuracy. There is still no topology mapping scheme that does not rely on signal propagation in space and is not limited by distance. To address the above problems, this invention provides a topology mapping system and method based on zero-point mapping. Summary of the Invention

[0003] This invention aims to solve the problems of light speed limitation, signal attenuation, and extremely high pointing accuracy requirements in existing interplanetary communication schemes. It provides a topology mapping system and method based on zero-point mapping. By establishing a zero-point mapping relationship between the transmitting and receiving ends, the topology can be directly mapped from the zero point of the transmitting end to the zero point of the receiving end without spatial propagation, thus realizing topology mapping without distance limitations. (I) This invention provides a topology mapping method based on zero-point mapping, comprising the following steps: Step 1: At the transmitting end, by measuring all the gauge invariants of the system (including charge, magnetic flux, phase winding number, and topological Chern number), the transmitting end system is anchored to the zero point position when these invariants converge to their respective ground state values. Step 2: At the transmitting end, the offset of the system relative to the zero point is continuously measured through a closed-loop feedback system. When the offset exceeds the tolerance, a correction is applied to maintain the zero-point locked state of the transmitting end system. Step 3: Establish the zero-point mapping relationship between the transmitter and receiver. The zero points of the transmitter and receiver belong to the same homotopy class in a topological sense; the only difference between them is their physical location. This mapping relationship is not established through spatial propagation or a channel, but rather by the two systems sharing the same topological anchor point. Step 4: Encode the topology to be mapped into a structural relationship relative to the sender's zero point. This encoding does not involve "data packets," but rather "the way the entire structure of the sender's system deviates from the zero point." This encoding method ensures the binding relationship between the topology and the zero point. Step 5: Transmit the zero-point map to the receiving end without using a spatial channel. The zero-point map includes the zero point at the transmitting end and all its structural relationships relative to the zero point. The transmission of the zero-point map does not pass through the bottom manifold space and is not limited by the speed of light. Step 6: At the receiving end, based on the received zero-point mapping, reconstruct the zero-point with the same topological identity as the sending end. Step 7: At the receiving end, starting from the reconstructed zero point, reconstruct the entire topology of the transmitting end system based on the structural relationships contained in the zero point mapping, and complete the topology mapping. (ii) The present invention also provides a topology mapping system based on zero-point mapping, comprising: A transmitter zero-point localization unit is used to locate the zero point by measuring all the normative invariants of the system and converging them to the ground state value. A transmitter zero-point locking unit, connected to the transmitter zero-point localization unit, is used to maintain the zero-point locking state through closed-loop feedback. A structure encoding unit, connected to the transmitter zero-point locking unit, is used to encode the topology to be mapped into a structural relationship relative to the zero point. A zero-point mapping establishment unit, connected to the structure encoding unit, is used to establish a mapping relationship between the transmitter zero point and the receiver zero point. A zero-point mapping transmission unit, connected to the zero-point mapping establishment unit, is used to transmit the zero-point mapping to the receiver. A receiver zero-point reconstruction unit is used to reconstruct the zero point at the receiver based on the zero-point mapping. A structure decoding and reconstruction unit, connected to the receiver zero-point reconstruction unit, is used to reconstruct the entire topology of the transmitter starting from the zero point. (III) The present invention has the following beneficial effects: (1) Compared with existing communication schemes that rely on signal propagation in space, the present invention transmits the topology through zero-point mapping without propagation in space, thus fundamentally bypassing the speed of light limitation. (2) Compared with existing communication schemes where signal attenuation increases with distance, the zero-point mapping of the present invention does not involve the diffusion of energy in space, and there is no distance-related attenuation problem. (3) Compared with existing communication schemes that require high-precision pointing alignment, the zero-point mapping of the present invention does not go through space propagation, and there is no pointing alignment problem. (4) The zero-point locking state of the transmitting end corresponds directly to the zero-point reconstruction state of the receiving end, and the reliability of the topology mapping depends only on the fidelity of the zero-point mapping, and is independent of the transmission distance. (5) It is compatible with various application scenarios such as quantum network node interconnection, deep space exploration data mapping, and interstellar communication. Detailed Implementation

[0004] Example 1: Local zero-point locking and reproduction verification. This embodiment verifies the basic feasibility of zero point being identified, locked, and reproduced. S1. Zero-point positioning. In the local experimental system, the system is considered anchored at zero when all the system's gauge invariants (phase winding number, topological Chern number) converge to their ground state values. S2. Zero-point locking. Through a closed-loop feedback system, the offset of the system relative to zero is continuously read. When the offset exceeds the preset tolerance, correction is applied to maintain the zero-point locking state. S3. Zero-point measurement. When the system is locked, record the convergence values ​​of all normative invariants. S4. Zero-point reproduction. In the same experimental system, start the zero-point reconstruction program and compare the reconstructed zero point with the zero-point fingerprint recorded during locking. Implementation Results: Theoretical analysis shows that, under the same experimental conditions, the zero point can be repeatedly locked and reproduced. Each time the zero point is locked, the measured values ​​of the normative invariants converge to the same set of ground state values, proving that the zero point is an operable engineering quantity. Example 2: Verification of split zero-point mapping. This embodiment verifies the feasibility of establishing a zero-point mapping between two spatially separated locations. S1. Zero-point locking at the transmitting end. Lock the zero point at position A and record the normalized invariant fingerprint of the zero point. S2. Zero-point mapping establishment. Establish the mapping relationship between the zero point at position A and the zero point at position B. S3. Zero-point reconstruction at the receiving end. Reconstruct the zero point at position B based on the zero-point mapping. S4. Mapping Verification. Compare the reconstructed zero point at position B with the canonical invariant fingerprint of the locked zero point at position A. Implementation results: Theoretical analysis shows that the zero point reconstructed at location B and the zero point locked at location A have the same canonical invariant fingerprint, proving that zero point mapping can be established and propagated, independent of spatial distance. Example 3: Verification of zero-point mapping topology structure. This embodiment verifies the topology mapping capability based on zero-point mapping. S1. Transmitter encoding. After locking the zero point at position A, the test topology is encoded as a structural relationship relative to the zero point. S2, Zero-point mapping transfer. Transfer the zero-point mapping to position B. S3. Decoding at the receiving end. Reconstruct the zero point based on the zero point mapping at position B, and rebuild the entire topology of the transmitting end starting from the zero point to restore the test topology. Implementation Results: Theoretical analysis shows that, using the zero-point mapping topology mapping method of this invention, the topology can be mapped from position A to position B without spatial propagation, and the mapping effect is independent of the distance between A and B. The topology can be mapped from the zero point at the transmitting end to the zero point at the receiving end, achieving topology mapping that is not limited by distance. Attached Figure Description

[0005] Figure 1 This is a block diagram of the overall architecture of the topology mapping system based on zero-point mapping of the present invention. Figure 2 This is a flowchart of the zero-point positioning and locking process for the transmitting end. Figure 3 This is a flowchart of the receiver's zero-point reconstruction and topology decoding process. Terminology Explanation

[0006] Zeros: The topological position in a physical system where all gauge invariants converge to their ground state values. Zeros themselves are unobservable, but all observable physical quantities are defined relative to zeros. Zero-point location: The operation of determining the zero-point location by measuring all the norm invariants of the system and bringing them to the ground state value. Zero-point locking: Through a closed-loop feedback system, the system is continuously anchored at the zero-point position. Zero mapping: The topological correspondence between the zeros at the transmitting end and the zeros at the receiving end. The two zeros belong to the same homotopy class, differing only in their physical locations. Zero-point mapping transfer: The operation of transferring the zero point of the transmitting end and its entire structural relationship relative to the zero point to the receiving end. This transfer does not involve spatial propagation and is not limited by the speed of light. Homotopy class: In topology, an equivalence class describes continuous deformations between spaces. In this system, the zeros at the transmitting end and the zeros at the receiving end belong to the same homotopy class, ensuring the topological identity of the mapping. Gauge invariants: Physical quantities that remain unchanged under gauge transformations, including electric charge, magnetic flux, phase winding number, and topological Chern number. Their ground-state values ​​collectively define the location of the zeros.

Claims

1. A topology mapping method based on zero-point mapping, characterized in that, Includes the following steps: At the transmitting end, the zero point is located by measuring all the gauge invariants of the system and converging them to the ground state value. The zero-point locking state of the transmitting system is maintained by a closed-loop feedback system. Establish a zero-point mapping relationship between the transmitter and receiver, where the zero points of the transmitter and receiver belong to the same homotopy class in a topological sense; The topology to be mapped is encoded as a structural relationship relative to the zero point of the transmitting end; The zero-point mapping is passed to the receiving end. The zero-point mapping includes the zero-point of the sending end and all its structural relationships relative to the zero-point. At the receiving end, the zero point is reconstructed based on the zero-point mapping; At the receiving end, starting from the reconstructed zero point, the entire topology of the sending end system is reconstructed based on the structural relationships contained in the zero point mapping.

2. The method according to claim 1, characterized in that: The zero-point positioning is achieved by measuring the ground-state values ​​of normative invariants such as phase winding number and topological Chern number.

3. The method according to claim 1, characterized in that: The zero-point mapping transmission does not propagate through space and is not limited by the speed of light.

4. The method according to claim 1, characterized in that: The transmission effect of the zero-point mapping is independent of the physical distance between the sending and receiving ends.

5. A topology mapping system based on zero-point mapping, characterized in that, include: The transmitter zero-point positioning unit is used to locate the zero point by measuring all the gauge invariants of the system and converging them to the ground state value. A transmitter zero-point locking unit is connected to the transmitter zero-point positioning unit and is used to maintain the zero-point locking state through closed-loop feedback. The structure encoding unit, connected to the zero-point locking unit of the transmitting end, is used to encode the topology structure to be mapped into a structural relationship relative to the zero point; A zero-point mapping establishment unit, connected to the structure encoding unit, is used to establish a mapping relationship between the zero point of the transmitting end and the zero point of the receiving end; A zero-point mapping transmission unit, connected to the zero-point mapping establishment unit, is used to transmit the zero-point mapping to the receiving end; The receiver zero-point reconstruction unit is used to reconstruct the zero point at the receiver based on the zero-point mapping. The structure decoding and reconstruction unit is connected to the receiving end zero-point reconstruction unit and is used to reconstruct the entire topology of the transmitting end from the zero point.

6. The system according to claim 5, characterized in that: The transmitter zero-point locking unit maintains the lock by continuously measuring the offset of the system relative to the zero point and applying correction when the offset exceeds the tolerance.

7. The system according to claim 5, characterized in that: In the mapping relationship established by the zero-point mapping establishment unit, the zero point of the transmitting end and the zero point of the receiving end belong to the same homotopy class.

8. The system according to claim 5, characterized in that: The zero-point mapping transmission unit transmits zero-point mappings without spatial propagation and is not limited by the speed of light.

9. The system according to claim 5, characterized in that: The fidelity of the structure decoding and reconstruction unit in reconstructing the transmitting end system structure depends only on the fidelity of the zero-point mapping and is independent of the transmission distance.

10. A topology mapping terminal, characterized in that: The system includes a topology mapping system based on zero-point mapping as described in any one of claims 5-9, wherein the terminal is integrated into the communication module of an interplanetary spacecraft or a deep space probe.

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