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Mass as a Relational Value

v1.3 March 2026 Author: Marco Gipp DOI: 10.5281/zenodo.19201110

Preliminary Remark​

In classical physics, mass is an intrinsic property of matter — a fixed value that defines an object. In the Law of Equalization, mass is not an absolute value. It is a measurement result: the pressure differential between an object and its superordinate system.


The Core Statement​

What we call "mass" is the result of the pressure that the superordinate system exerts on an object — relative to that object's intrinsic energy, density, and volume.

Three consequences follow:

  1. The same object has different "masses" in different systems — a stone weighs differently on Earth than on the Moon, not because the stone changes, but because the system pressure is different.

  2. Mass = 0 at the center — at the midpoint of a system, all pressure forces cancel one another out. The Sun has a measurable mass of zero within the solar system. The same holds for Earth's core, the nucleus of an atom, and the center of a galaxy.

  3. Weightlessness is not a special case — it is the normal state in the absence of superordinate pressure.


The Seesaw Metaphor​

The principle can be demonstrated using a seesaw:

At the center (fulcrum): Both sides exert equal pressure in opposite directions. The resultant force is zero → mass = 0. This is precisely where suns, Earth's cores, and galaxy centers are located.

Outside the center: The lever ratios are unequal → one side exerts greater pressure → resultant force ≠ 0 → measurable mass arises. The farther from the center, the greater the pressure differential, and the higher the measurable "mass."

1 mm offset: Even a minimal displacement from center produces a measurable force — because the full pressure force of the entire superordinate system now has a direction.


What a Scale Actually Measures​

When we weigh an object, we do not measure an intrinsic property. We measure: Pressure of the superordinate system (space + atmosphere) on the object — minus the counter-pressure that the object generates through its own intrinsic energy.

ObservationClassical explanationLaw of Equalization
Stone is "heavy"High mass as propertyHigh density, low energy ratio → system presses strongly
Wood is "light"Low mass as propertyLow density, more favorable energy ratio → system presses weakly
Moon: 1/6 weightMoon "attracts" less1/6 of the ambient pressure, not 1/6 of "attraction"
WeightlessnessNo gravitational fieldPressure forces cancel (center of local system)
BuoyancySeparate upward forcePositioning by energy ratio — not a separate principle

Buoyancy as Positioning​

Buoyancy is not an independent force. It is the same pressure equalization:

  • Object with higher intrinsic energy per volume than the surrounding medium → positioned inward/downward → "sinks"
  • Object with lower intrinsic energy per volume than the medium → positioned outward/upward → "rises"
  • Object with equal intrinsic energy per volume → floats

This is Principal Theorem 7 in action: position is determined by the energy ratio, not by a separate "buoyant force."


What Changes — and What Does Not​

What remains the same: All calculations. yields the same numerical values. Satellite orbits, bridge statics, engineering — all continue to function identically. The variable remains mathematically useful as a proxy for the intrinsic energy/volume/density ratio.

What changes: The interpretation.

  • Mass is not a property, but a measurement result
  • Mass exists only relative to a superordinate system
  • "Heavy" and "light" are not absolute categories, but pressure ratios
  • E = mc² describes energy storage in matter, not an equivalence of mass and energy as intrinsic properties

Open Questions​

  • Experimental verification of the zero-mass thesis at system centers (e.g., through gravitational measurements in deep boreholes or at Earth-center models)
  • Precise quantification of the relationship between system pressure and measurable mass
  • Extension of the intrinsic energy formula to include the explicit influence of the superordinate system