Blockchain Papers

Tang

Abstract What is the relationship among factors in any complex system driven by multiple quantifiable factors? This paper advances two core propositions. The law proposition—the Factor Hierarchy Law: Factors naturally fall into two tiers. Rule factors determine which set of rules currently applies; their function is not reflected in direct explanatory power but in the interaction effect through which they adjust the exposure coefficients of execution factors. When a rule factor crosses a critical threshold, the factor weights of the entire system are systematically reset. The principle proposition—Testability: Any claim about the importance of factors in a multi-factor system must pass a complete regime-dependence test before it can be elevated from a hypothesis to reliable knowledge. A claim that "this factor is important" without specifying "under which regime" is an incomplete proposition. Popper's falsifiability stipulates the entry criterion for scientific knowledge—a proposition must be capable of being overturned by facts. Yet the classic criticism of Popper's theory within the philosophy of science has always centered on it having "only an attitudinal principle, no operational procedure": Popper required scientists to possess a spirit of falsification but did not specify, within multi-factor empirical research, "what counts as a rigorous test." This paper proposes that science requires a second threshold—Testability: a procedural standard that specifies the functional dimensions that testing must cover. Falsifiability guards the entrance to science; Testability guards the exit of scientific discovery. Together they constitute the complete chain of scientific methodology. This paper formally designates the operational implementation of the Testability principle as the Testability Norms—comprising six functional dimensions: four core dimensions of search completeness, modulation relationship, structural breakpoint, and causal direction, plus two completeness dimensions of question completeness and process closed-loop. The Testability Norms are not bound to any specific tools—the functional dimensions are eternal, while the implementation tools are replaceable. The universality of this methodology rests not on the physical material of the systems—financial assets or microscopic particles—but solely on their epistemological property: whether the values of factors are independent of the subjective judgment of the observer. The Factor Hierarchy Law has received cross-disciplinary evidential support from three entirely independent disciplines. Finance: The China–U.S. interest rate spread has been repeatedly verified as a rule factor across five major markets and dozens of assets; when the spread crosses the zero axis, pricing equations undergo structural breaks. Astronomy: Five independent dimensions—including transit depth measurement and stellar atmospheric model self-consistency—all undergo structural breaks at the regime boundary (Tang Break) constituted by the K/G transition zone (approximately 4400–5800 K) and surface gravity log g = 4.64, with 4762 K being the most representative critical point. Physics: Calibration proof on the Onsager exact solution of the 2D Ising model confirms the existence of an exact information-theoretic duality between the present norms and the Ehrenfest phase transition classification, with analytic mathematical proof confirming that the detection bias is strictly zero. The contribution of this paper lies in establishing a second threshold for science after Popper's falsifiability—Testability—and, under the Testability principle, establishing the Testability Norms as an operational standard. The Factor Hierarchy Law reveals the structure; Testability prescribes the test; the Testability Norms define completeness.

Ahmed M. Hala

This paper formalizes a mathematical physics framework for redefining the “charge” entity within physical plasma settings using the Hala-SCC (Successive Controlled Collapse) protocol. Traditionally viewed as a static dipole, we re-model charge as a dynamic informational inheritance that manifests in three distinct physical phases: Discrete (species), Wave (EM fields), and Continuum (current flow). By integrating fuzzy logic with the Hala Operator ( ˆH), we introduce the concept of Gray Entropy—a stabilized transitional state that prevents “topological tearing” during the transition from high-entropy chaotic inheritance to zero-entropy epistemological truth. Through a 23 factorial Design of Experiments (DoE) conducted on a quiescent multi-dipole thermionic plasma source, we demonstrate that the synergy between Human, Artificial, and Protocol intelligence operators allows for a “Managed Viscosity” of knowledge. This framework provides the first deterministic proof that the “charge” carrier can be distilled into a stable industrial logic gate, bridging the Reality Gap (ϵ) between abstract plasma theory and engineering utility.

M.J. Kraak

This contribution will focus on geographical / geopolitical changes over time as depicted in maps on stamps. A traditional definition of a stamp would probably be ‘usually a rectangular piece of paper of varying colour and denomination, affixed to a letter etc. to cover the cost of postage’. Today, however, the word rectangular could easily be replaced by triangular, round or even map shaped. The paper could be cloth or even chocolate. Stamps even exist as crypto or non-fungible tokens, in other words a stamp with a digital twin. All these changes over time are new revenue models for postal authorities, as very few people use stamps to pay for postage. Stamps, in whatever form, offer a small window into a nation's society, nature and culture. They aim to give a country a profile by depicting its people, identity and territory. People and identity are often linked to heritage. This leads to themes of monarchs and political leaders, flags and heraldry, traditional costumes, folklore, etc. However, when looking at the timeline of a country's stamp issues, the timeframe provides a context for the choices made regarding the themes. In the case of territory, the nation or area is represented and identified by locational and boundary features. These could be typical landscape features and maps. The first stamp issues of a 'new' nation often include a map claiming the territory and a flag to emphasise identity. Figure 1a shows an example from the Faroe Islands. In such situations, stamps can become geopolitical tools. This can be harmless, as in Figure 1a, where the outline of a country is depicted. However, sometimes nations use the map on the stamp to claim part of the territory of neighbouring countries. It is interesting for cartographers to look at the design of these carto-philatelic items. The maps depicted are not always designed with the medium, the small piece of paper, in mind. The maps could be reduced details of existing maps or they could be designed specifically for the stamp. In many cases, however, the rules of cartographic design are not necessarily followed. Figure 1b shows the outline of France on a stamp from Equatorial Guinea. In cases such as this, external organisations create stamp series for a postal authority on subjects that do not offer a window into a nation's society but have commercial objectives. There are also more sophisticated stamp designs (Figure 1c). Liechtenstein's First Day Cover shows a map of land use, which on the stamp is transformed into a schematic diagram symbolising land use. The cancellation stamp is also a map. Time series of map stamps exist in many forms. The most common is a series of historic maps of a region, showing the evolving knowledge of the shape of the area as new surveying techniques became available. A series of four topographic map details was issued to commemorate the 200th anniversary of the Ordnance Survey (Figure 1d). Canada issued a series of four stamps showing the expansion of the country over time (Figure 1e). Comparing different map stamp issues of an area over time can show how the perspectives of the authorities have changed, introducing geopolitics in the time series. Several examples are shown in the figure. Figure 1f shows Panama, first as part of Colombia, as an independent nation, with a gap because of the Panama Canal Zone and the situation when the Canal Zone was returned to Panama. Pakistan, shortly after independence, showed the territory of Kashmir and Jammu as disputed, but more recently is seen as an integral part of the country (Figure 1g). Figure 9 shows Suriname. Its extent in the south-east and south-west overlaps with the claims of French Guiana and Guyana respectively. However, at the 15th year of their independence, the Surinam map inadvertently omits these claims, which are reinstated in later postage stamp editions. Sometimes the time series of stamps are issued to cover up mistakes. The stamps of Guernsey (Figure 1h) are such an example, which issued a map with an incorrect latitude, placing the island near Madrid. Other anomalies will be discussed in this paper with a focus on the influence of map design.