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Mass as a Relational Value

v1.3March 2026Author: Marco GippDOI: 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