Mass and Gravity

Explanation of

Mass and Gravity

This website describes a new theory that explains and unifies in a single 4D model with m = f(x,y,z,t)

  • Mass,
  • Gravity,
  • Spacetime curvature,

Gravity would not be an attractive force between masses but an external pressure force produced by the spacetime curvature.


A rational explanation of many enigmas of physics is also given in that webpage: faster-than-light neutrinos, time dilatation, mass of relativistic particles, E = mc², black holes...

(See the copyright)

Part 1
What is Mass?

   Top of page
   Part 1: What is Mass?
   Part 2: Gravity
   Part 3: Miscellaneous

Problem to solve

Let's consider a flat spacetime (a). The insertion of an object will curve this spacetime (b).


We see that it is the VOLUME of the object, not its MASS, that deforms spacetime. This is a logical observation ...but since 1919, experiments show the contrary.

Indeed, Einstein demonstrated that spacetime is curved by masses, not by volumes. This assertion, which is verified by experimentation, is totally irrational since, to date, no one can explain how a mass can curve spacetime. So, the question is:

Is spacetime curved:
• by volumes? (logical, consistent...)
     • or by masses? (irrational, but proven)

Solution to this problem

Spacetime isn't curved by VOLUMES, or by MASS as we think, but by a special type of volumes: "Volumes with mass". This kind of volumes satisfies both general relativity (curvature by MASS) and common sense (curvature by VOLUMES), as the previous fig. b shows.

Volumes with/without mass

a/ Let's drop an empty sphere in metal in a container filled with water. It is the volume of the sphere - not its mass - that produces the displacement of water. The latter exerts a pressure on the surface of the sphere.

b/ If we make holes in the sphere, water will go inside and the pressure will disappear.

Thus, two identical volumes may have different behaviors: in one case we have a pressure (a), and in the other not (b).


In spacetime, on Earth and everywhere in the universe, we also have these two types of volumes:

  • (a) Closed volumes (volumes with mass), such as elementary particles. Their internal spacetime "pushes" the surrounding spacetime to make room. Thus, "closed volumes" produce a convex curvature of spacetime. Since the latter has properties of elasticity (Einstein), it exerts a pressure on the surface of these volumes. As a result, a "mass effect" appears, i.e. an effect having all the characteristics of mass. The mass component [M] can be extracted from the pressure [M/LT²] by simple mathematical operations (see the mathematical demonstration section). This conducts to a 4D expression of the mass: m = f(x,y,z,t).
  • (b) Open Volumes (massless volumes): It is just a vacuum, but sometimes found in various forms such as the volume of orbitals or the space between atoms. These volumes exist but they are "porous" regarding spacetime. More exactly, they are subject to variations of spacetime but they don't curve spacetime themselves. Therefore, open volumes are massless since no curvature means no mass (Einstein).

Closed open volumes

Note 1 (for physicists)

A First Confirmation:

Existence of these two types of volumes is confirmed by atoms. They are made of:

  • Closed volumes, with mass: Proton(s), neutron(s) and electron(s). These closed volumes deform spacetime. Since closed volumes → spacetime curvature → pressure → mass effect, the nucleus and electrons have a mass. This is confirmed by experimentation.
  • Massless Open volumes: Orbitals are geodesics in a vacuum. It is obvious that the volume of geodesics can't curve spacetime. Therefore, volumes of orbitals are massless. This is also confirmed by experimentation.


Note 2 (for physicists)

Mass vs Closed Volumes

So, replacing "Mass" by "Closed volumes" doesn't change anything but allows us to solve three enigmas:

  • It gives a rational explanation of the curvature of spacetime,
  • It explains with great simplicity the mass origin, which is a consequence of the pressure of spacetime on closed volumes,
  • And also gives the 4D mass expression m = f(x,y,z,t). See the mathematics section.

The following example shows the relation between mass and volumes.

Pen eraser

Apparent Volumes

Objects we use daily are apparent volumes defined as:

Apparent volume = Σ Closed volumes + Σ Open volumes

These volumes, mainly atoms, are a combination of:

  • Closed volumes (protons, neutrons, electrons). These volumes deform spacetime and, as explained, have a mass, more precisely a "mass effect".
  • Open Volumes (volumes of orbitals, space between atoms...). These volumes are transparent regarding spacetime since they don't curve it. They are massless.

The proportion of closed/open volumes (i.e. mass/massless volumes) varies from one atom to another, from one molecule to another, from one object to another... This is why we feel that mass and volume are two different quantities. This is an illusion. In reality,

It is the proportion of closed/open volumes
in each atom that varies from one object to
another, which gives us the feeling that mass
and volume are two different quantities.

Note 3 (for physicists)

Conclusions about mass

The 4D expression of the mass effect means that the entire universe can be described with only 4D expressions, as Einstein thought his whole life. We don't need extra-dimensions such as 5D, 6D, 7D...nD, or extra fields such as the Higgs Field.

We must always have in mind that the word "Volume" without any precision doesn't mean anything, at least to understand the curvature of spacetime, mass, and gravity. It is important to clarify our definition of volume. Are we talking about:

  • Closed volumes?...
  • Open volumes?...
  • or Apparent volumes?

It is obvious that, since these three volumes have different behaviors, we must differentiate them.

Part 2

   Top of page
   Part 1: What is Mass?
   Part 2: Gravity
   Part 3: Miscellaneous

What is Gravity?

If we replace the closed volume of precedent figures by two or more closed volumes, the pressure exerted by spacetime on these volumes tends to bring them closer to each other. The result is equivalent to that of an attraction. For example, a pressure on one side of a sheet of paper is equivalent to an attraction on the other side. In both cases, the sheet is curved.


Finally, mass and gravity are nothing but the consequence of the pressure of spacetime on closed volumes. In both cases, we are faced with the same phenomenon, as the figure shows.

Gravity is not an attractive force between
masses, but a pressure force exerted by
spacetime on closed volumes that tends
to bring them closer to each other.

Note 4 (for physicists)

Current Theory vs. Proposed Theory

current theory Higgs boson

Mass and gravity explained in 4 steps

proposed theory Higgs boson

Part 3

   Top of page
   Part 1: What is Mass?
   Part 2: Gravity
   Part 3: Miscellaneous


To access to the Application Webpage, please click here.

You can access separately to each section by hiting the corresponding link:


Mathematical demonstrations of the proposed theory can be found in the following Webpages:

Note 7 (for physicists)


mass gravity

Download instructions

To read or download the PDF files, click here

Comments from physicists...

  • "Here's the most important discovery on the unification of physics."
  • "I waited 35 years to find such elegant answers… Keep up the good work."
  • "What to the detractors of this theory have to say?"
  • "Brilliant! So simple, the easiest answers are always overlooked."
  • "I was not a victim of the Higgs boson joke."
  • "This theory makes a lot of sense…"
  • "LOVE this article. I think it is way more credible than the Higgs boson Theory, and like how obvious it makes it to understand."
  • "Why are we spending $millions on looking for the Higgs boson when there is a much simpler explanation?"

To read the full comments, click here

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Last update: April 16, 2012.