This article applies the Princonser method to analyze the law of human sustainability from the perspective of universal laws. Through universal essence, the principles of inseparability, conservation, and destruction, and the laws of dependency, interaction, integration, disintegration, temporality, and intemporality, challenges are identified, and solutions are proposed to ensure a sustainable future. The article culminates with the discovery of the Law of Human Sustainability, which establishes that the future of humanity depends on the balanced interaction between resources (energy) and needs (matter), maintaining a proportionality that ensures the stability and intemporality of the system.

I. Materials and methods

1.1. Elements of the Princonser method

The Princonser method is based on:

  • Universal essence: The unity of energy and matter in mutual transformation.

  • Universal principles: Inseparability, conservation, and destruction.

  • Universal laws: Dependency, interaction, integration, disintegration, temporality, and intemporality.

1.2. Princonser analysis matrix

The Princonser analysis matrix, which includes ten foundations, rules, and universal premises, is used to analyze the future of humanity and discover a new law.

II. Problem identification

2.1. Argumentation with the principle of destruction

All unstable material systems undergo destruction, releasing energy. In the context of humanity, the overexploitation of natural resources releases energy in the form of pollution and environmental degradation. The imbalance between consumption and resource regeneration leads to ecosystem destruction. This destruction results in energy release in the form of climate crises and resource scarcity. For example, deforestation in the Amazon releases energy in the form of CO₂ emissions, contributing to global warming.

2.2. Argumentation with the law of disintegration

In all unstable systems, matter transforms into energy with a break in proportionality. In the case of humanity, the disintegration of social and economic systems releases energy in the form of conflicts and inequalities. The lack of proportionality between economic growth and social well-being leads to instability. This instability releases energy in the form of mass migrations and geopolitical tensions. For example, the current global crisis generates new ideas in the search for solutions and theories that open new horizons.

2.3. Argumentation with the law of temporality

All systems are temporary due to their disintegration. Humanity faces a limited life cycle due to unsustainable resource exploitation. The temporality of current systems reduces humanity's ability to ensure a sustainable future. This reduction leads to the disintegration of key systems such as the economy and the environment. For example, dependence on fossil fuels has a limited life cycle, reducing humanity's ability to ensure a sustainable energy future.

III. Problem solution

3.1. Argumentation with the principle of conservation

All forms of energy are conserved in a cycle of transformation. In the context of humanity, the conservation of natural and energy resources is essential for ensuring a sustainable future. The transformation of energy into matter (renewable resources) helps maintain system balance. This balance ensures that humanity can meet its needs without compromising the future. For example, investment in renewable energy, such as solar and wind power, conserves energy and reduces dependence on non-renewable resources.

3.2. Argumentation with the law of integration

In all stable systems, energy transforms into matter while maintaining proportionality. In the case of humanity, the integration of sustainable technologies and responsible practices allows for maintaining the balance between resources and needs. The proportionality between consumption and resource regeneration ensures system stability. This stability enables humanity to progress toward a sustainable future. For example, regenerative agriculture integrates practices that conserve soil and increase productivity while maintaining the proportionality between resources and needs.

3.3. Argumentation with the law of intemporality

Energy transcends beyond the system, integrating into other systems according to the laws of dependency and interaction. In the case of humanity, sustainable knowledge and technologies can be transferred to future generations and regions, promoting a globally sustainable future. The transfer of knowledge allows humanity to maintain long-term balance. This balance ensures that current systems do not compromise the future of upcoming generations. For example, the transfer of clean technologies from developed to developing countries fosters a sustainable global energy future.

IV. Law identification

4.1. Argumentation with universal essence

All systems in the universe are units of energy and matter. Humanity is a stable system where resources (energy) and needs (matter) interact. The transformation of resources into goods and services sustains human life and reflects the universal essence of unidirectional transformation. This interaction ensures that humanity can meet its needs without compromising system balance. For example, the transformation of solar energy into food through photosynthesis sustains life on Earth.

4.2. Argumentation with the principle of inseparability

In all systems, energy and matter are inseparable. In the case of humanity, resources cannot be separated from needs, as resource availability is essential to fulfilling them. The lack of resources directly affects humanity’s ability to maintain well-being and development. This inseparability ensures that the balance between resources and needs is fundamental to sustainability. For example, access to clean water is inseparable from human survival and well-being.

4.3. Argumentation with the law of dependency

In stable systems, each type of energy corresponds to a type of matter in a proportion that ensures stability. In the case of humanity, each resource (energy) corresponds to a need (matter) in a proportion that guarantees sustainability. The proper proportion between resources and needs is essential to maintaining system balance. This dependency ensures that humanity can meet its needs without depleting available resources. For example, the appropriate proportion between renewable energy and energy demand is crucial for maintaining a sustainable future.

4.4. Argumentation with the law of interaction

In all stable systems, energy and matter transform mutually while maintaining proportionality. In the case of humanity, resources transform into goods and services that meet human needs. This transformation maintains proportionality between resources and needs, ensuring system stability. The balanced interaction between resources and needs allows humanity to advance toward a sustainable future. For example, wind energy transformation into electricity satisfies the energy needs of communities.

V. Law statement

Law of human sustainability

In every human system, sustainability depends on the balanced interaction between resources (energy) and needs (matter), where resources transform into goods and services that meet needs, maintaining a proportionality that guarantees system stability and intemporality.

Mathematical expression of the law

The law of human sustainability is mathematically expressed as:

S(R,N)=k⋅(R/N​)⋅(ΔR​/ΔN)

Where:

  • S(R,N) represents human sustainability as a function of resources (R) and needs (N).

  • k is a proportionality constant that depends on the system.

  • (R/N​) represents the proportion between resources and needs.

  • (ΔR​/ΔN​) represents the rate of transformation between resources and needs, maintaining proportionality.