Explainer

What this is

Projective Process Monism (PPM) is a proposal about how the physical world and conscious experience relate: that they are one structure, read from inside and from outside. The site’s argument runs in one direction — from a problem about what any theory of everything owes, to a specific piece of geometry that problem points at, to the larger space that geometry sits inside.

That order matters, because the usual way to present a framework like this is to start with an elegant mathematical object and work outward. Doing it that way makes the mathematics look arbitrary, and the reasonable response is to ask why anyone should accept it. The geometry here is arrived at rather than posited, and the arriving is the part worth reading.

For the full development of the argument sketched below — and where today’s alternatives fall short of it — see what any total theory owes and anchoring structure in experience.

Where it starts

Start with a problem that has nothing to do with consciousness.

A physical theory describes the world by specifying structure — what relates to what, in what pattern. Structure alone underdetermines its subject: any collection of things of the right size can be arranged to satisfy a purely structural description. That is the Newman problem, a century old, and it means something has to tie the structure down to reality. Every standard way of supplying that tie is a thing you have to add. Experience is the one candidate that isn’t — it is the single piece of the world each of us occupies rather than describes.

The question is whether that anchor can be made specific enough to do real work, and this is where geometry enters. An embodied perspective acts within a space of orientations: the ways a body or a viewpoint can be turned. That space has a definite mathematical form. It is real projective 3-space, RP³, and its fundamental group is two-valued — something you can demonstrate with your arm. Rotate a held object through a full turn and your arm is twisted; carry it through a second full turn and the twist comes out. That is the belt trick, and a neutron interferometer registers the same two-valuedness as a phase reversal in matter.

The anchor page makes this argument properly, including what it establishes and what it leaves as a posit.

Where this structure came from

Worth saying plainly, because it is easy to dress up as something stronger: the projective structure came into this framework from perceptual phenomenology. In 2017, David Rudrauf and colleagues published a model of the field of consciousness giving experienced space projective form, and reading that work is what pointed here. It is a source, not a second opinion — two lines landing on the same structure independently would be evidence, and one line with an origin is not.

The geometry owes them nothing, which is the point: that orientation space is RP³ is mathematics, true regardless of anyone’s model of perception. The anchor page has the full accounting.

The structural move

Having arrived at RP³, ask what larger space it belongs to. RP³ is the set of points left unchanged when you take a complex projective 3-space, CP³, and replace every complex number with its conjugate. That operation — complex conjugation, which the framework labels τ — has RP³ as exactly its fixed set.

RP³ is three-dimensional, and among complex projective spaces exactly one has it as its real locus: CP³. The anchor picks the space out.

CP³ is also where quantum mechanics already works. The space of possible states for a quantum system is a complex projective space, and CP³ is the one belonging to a four-state system. Wavefunctions live there.

PPM takes that as the whole premise:

• Possibility space is CP³.
• Actuality space — the realm of settled fact — is RP³.
• Measurement is the process that settles complex possibility onto that real locus. τ is the operator fixing where actuality lies, not the process itself — an involution, not a projection.
• Conscious experience is what it is like to be on the actuality side of that settling. An observer’s standpoint and actuality are one geometry, RP³. That identification is the framework’s monism, and it is the claim on which everything else rests.

Everything after this is a question about what that structure can be made to do.

What is open

The framework states its debts in the same place as its claims, and there are three large ones.

The identification itself. That experiential structure and physical structure are one structure is argued where it is sharpest, at the geometry of orientation. Carrying it across to the whole space experience is laid out in — not just orientation — is a further step, and it is marked as a posit rather than proved. What would break it: a clear, global feature of the structure of experience with no physical counterpart where the identity requires one.

The process. τ fixes where actuality lies; something has to do the settling, and what that something is remains to be constructed. It is the framework’s live problem, and every quantitative result waits behind it — which is why this site carries an argument and no numbers.

Combination. If experience is carried in small units, a person should be billions of separate flickers of it, and each of us is one point of view instead. Every theory of this family owes an account of how small bearers combine into a single subject, and the standard verdict is that no account exists. This one owes it too. There is a working draft pursuing an answer through dynamics rather than composition; it is not finished, and nothing on this site rests on it.

Where to go from here

For the full argument — what any total theory owes, what shape that forces an answer into, and where the current alternatives fall short — read the conditions, then the anchor, which is where the geometry is argued for.

For the geometry itself, built two ways and drawn exactly, open the Arena. To move around inside RP³ and feel how its loop closes, walk the Road Behind.

To watch a projective process run — possibility settling into fact, coherence and binding emerging from it — open the Model. It is an illustration rather than a calculation, and it says so.

The papers, with the standing of each stated plainly, are on the papers page.

The argument is open and the pricing is open. The reader is asked to engage on those terms.