Theories Related to Holographic Projection

This is the principle of holographic projection found on Baidu.

The holographic projection setup described in this text is more advanced than conventional models: in addition to defensive functions, it incorporates artificial intelligence, enabling operability within the projection and allowing for holographic manipulation.

Holographic technology utilizes the principles of interference and diffraction to record and reconstruct the true three-dimensional image of an object. The technical process begins with recording the light wave information of the object using the principle of interference, essentially the shooting phase: the object, illuminated by laser, forms a scattered light beam; another portion of the laser serves as a reference beam directed onto the holographic film, where it combines with the object beam. This superposition creates interference, converting the phase and amplitude of each point on the object’s light wave into spatial intensity variations. The contrast and spacing between interference fringes record all the information of the object’s light wave. After the film bearing the interference fringes is processed (developed and fixed), it becomes a hologram, or holographic photograph. The second step uses the principle of diffraction to reconstruct the object’s light wave, the imaging phase: the hologram acts as a complex grating, and when illuminated with coherent laser, a linearly recorded sinusoidal hologram generally produces two images—the original (or primary) image and the conjugate image. The reconstructed image displays strong stereoscopic effect and realistic visual sensation. Every part of the hologram records the light information from every point on the object, so, in principle, each part can reproduce the entire image of the original object. Through multiple exposures, several different images can be recorded on the same film and displayed separately without interference.

The holographic principle holds that “a system can, in principle, be completely described by some degrees of freedom on its boundary.” This principle, based on the quantum properties of black holes, is a new fundamental law. In fact, this basic principle connects quantum units and quantum bits in the context of quantum theory. The mathematical proof states: the number of quantum units equals the number of spatial dimensions; the number of quantum units equals the number of quantum bits. Together, they form a finite set akin to a matrix—a collection of permutations and combinations. The holographic completeness refers to the selection of permutations, choosing between empty sets and full permutations, exhibiting duality. That is, the holography of a spacetime with a certain number of dimensions is fully equivalent to the holography of permutations with one fewer quantum bit; this is similar to the “quantum error-correcting code principle,” which fundamentally addresses computational errors in quantum computing arising from encoding mistakes. Quantum computation in spacetime resembles the dual conjugate encoding of biological DNA’s double helix structure, organizing real and virtual, positive and negative dual conjugate codes within a quantum computer. This could be termed “biological spacetime studies,” in which “entropy” bears resemblance to “macroscopic entropy,” indicating not only disorder but also scope. From a “life-derived” perspective, it should refer to scope. Thus, all positions and times are ranges: positional “entropy” is area “entropy,” and temporal “entropy” is the entropy of the thermodynamic arrow.

Furthermore, the binary arrangement of n quantum units and n quantum bits is similar to the binary arrangement of n rows and n columns in a determinant or matrix, with one key difference: the determinant or matrix has one fewer quantum bit than the binary arrangement of n quantum units and n quantum bits. This resemblance to the holographic principle suggests that the binary arrangement of n quantum units and n quantum bits is an integrable system whose dynamics can be described by a field theory similar to a determinant or matrix with one fewer quantum bit. Mathematically, this may be provable or subject to further exploration.

1. Anti-de Sitter space, meaning the space within points, lines, and surfaces, is integrable. Because the interface between internal and external spaces of points, lines, and surfaces approaches “super-zero” or “zero-point energy,” the system here is integrable, and any dynamics can be realized by a field theory of one lower dimension. That is, due to the symmetry of anti-de Sitter space, the symmetry in the internal field theory of points, lines, and surfaces is greater than the Lorentz symmetry of the external space; this larger symmetry group is called the conformal symmetry group. Of course, by altering the internal geometry of anti-de Sitter space, this symmetry can be eliminated, rendering the equivalent field theory devoid of conformal symmetry—this is referred to as new conformal symmetry. If we regard Madessina space as “outer-point space,” generally “outer-point” or “inner-point” space can also be viewed as analogous to spherical space. Anti-de Sitter space, or “inner-point space,” is a special limit in field theory. The classical gravity and quantum fluctuation effects in “inner-point space” are complex in string theory, and calculations can only be performed under certain limits. For example, the inflation rate of the cosmic mass orbit circle in anti-de Sitter-like space is 8.88 times the speed of light, calculated in a specific limit. In such limits, “inner-point space” transitions to a new spacetime, known as the pp-wave background. Precise calculations of multiple states of cosmic strings can be made, reflecting in the dual field theory, where we obtain anomalous scaling exponents for certain operators in the mass spectrum calculations of matter families.

2. The technique here is that strings are not composed of a finite number of spherical quantum micro-units. To obtain strings in the conventional sense, one must take the ring quantum string theory limit, where the length does not approach zero, and each string formed by coupled line quantum rings can be divided into micro-units of 10 to the minus 33 centimeters, so the number of micro-units does not tend toward infinity, ensuring the physical quantities corresponding to the strings, such as energy and momentum, remain finite. In constructing operators in field theory, to obtain string states under the pp-wave background, precisely this limit must be taken. Thus, the micro-unit model is a universal structure, and this becomes clear. Under this special background of the pp-wave, the corresponding field theory description is also an integrable system.