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Shadow Theory

The Reality Atlas

Shadow Theory as one instrument, from source to readout.

Shadow Theory drawn as one instrument: a source lamp, the law optics, an iris, a glass field cell and a round readout plate, in a row on a rail, with a spiral galaxy beyond the plate. Showing The whole instrument. The iris is 38 percent open. Partly open. Second probe: Aside: some marks hide two sources.
Second probe

Shadow Theory drawn as one instrument: a source lamp, the law optics, an iris, a glass field cell and a round readout plate, in a row on a rail, with a spiral galaxy beyond the plate. Showing The whole instrument. The iris is 38 percent open. Partly open. Second probe: Aside: some marks hide two sources.

Type to search. Arrow keys move, Enter opens.

    About this picture

    What you are looking at

    A diagram of Shadow Theory, built as an instrument. The theory says the physical world is a realized readout of a source structure, reached through a fixed sequence of constructions. The instrument sets those constructions in a row, in their order of dependence, and lets light stand for what passes from each to the next.

    Ω · the lamp
    The source formation package: a signature, elementary cells, witnesses and formation operations.
    T0 · the fixed lens
    Lawful source structure, the least class closed under the source’s own operations.
    T0.5 · the iris
    The aperture, where realization is reduced, routed and completed.
    F · the glass cell
    The canonical field: one carrier with a coherent and a dissipative response.
    T1 · the plate
    The readout: sectors, observables and records. Space, time, matter and observers are here.

    The galaxy lies beyond the plate because the world belongs to the readout. The source end stands in the dark, with nothing drawn behind the lamp: the unconditioned ground of the wider model is left unspecified, and Ω is where the mathematics begins.

    What the two controls show

    • The iris sets how finely the plate resolves what reaches it. Open it and neighbouring marks merge; close it and they separate again.
    • The second probe shows a different kind of limit. A few marks are two sources landing on one spot, and no setting of the iris divides them, because the plate does not hold the difference. The probe is a second readout that does. This is the subject of the foundation papers: a readout answers a question exactly when the answer is the same for every source that gives that readout (target-relative necessity), and the least addition that restores a lost distinction can be constructed (canonical completion).
    • A trace follows one observable from the plate back along the bench, through the entries it depends on. Many source structures can stand behind one mark, so a trace shows dependence and stops short of naming a single source (non-equivalence).

    Three views

    Instrument is the whole bench. The other two look at the readout plate and draw on its glass. Boundary treats the rim as boundary data and the interior as what those readings reach, following the gravity papers. History draws a small physical history with a listener inside it, and shows what the listener holds at one occasion.

    How literally to take it

    The order of the stages is an order of explanation. The source is not an earlier moment, nothing travels down the bench in time, and the theory does not say reality is made of optics. Time belongs to the readout, which is why the History view is drawn on the plate. The marks on the plate are drawn from the Atlas’s own list of sectors; their positions and brightness are composition. Which marks are pairs is chosen for the demonstration.

    Every entry carries its status: proved, conditional, construction, measured, interpretation, open or historical. The Atlas claims what its sources claim, entry by entry.

    How the picture is drawn

    Motion follows your system setting: with reduced motion on, the camera moves at once and nothing drifts. There is no sound.

    Reading the instrument

    The theory, part by part

    The Atlas begins at Ω, a mathematically defined formation package, and follows the construction through to the physical readout. The unconditioned ground of the wider model comes before Ω and is left unspecified. Sealed or Leaky takes up the question the second probe raises: how much of a source a readout can be made to give up.

    The instrument has three views. The whole bench shows the order of dependence. Two more look at the readout plate: Boundary reads the rim as boundary data, and History shows an observer inside a physical history.

    Field guide: Quantum Measurement in the Atlas →The full model, beginning to end →

    What you are looking at

    A diagram of Shadow Theory, built as an instrument. The theory says the physical world is a realized readout of a source structure, reached through a fixed sequence of constructions. The instrument sets those constructions in a row, in their order of dependence, and lets light stand for what passes from each to the next.

    Ω · the lamp
    The source formation package: a signature, elementary cells, witnesses and formation operations.
    T0 · the fixed lens
    Lawful source structure, the least class closed under the source’s own operations.
    T0.5 · the iris
    The aperture, where realization is reduced, routed and completed.
    F · the glass cell
    The canonical field: one carrier with a coherent and a dissipative response.
    T1 · the plate
    The readout: sectors, observables and records. Space, time, matter and observers are here.

    The galaxy lies beyond the plate because the world belongs to the readout. The source end stands in the dark, with nothing drawn behind the lamp: the unconditioned ground of the wider model is left unspecified, and Ω is where the mathematics begins.

    What the two controls show

    • The iris sets how finely the plate resolves what reaches it. Open it and neighbouring marks merge; close it and they separate again.
    • The second probe shows a different kind of limit. A few marks are two sources landing on one spot, and no setting of the iris divides them, because the plate does not hold the difference. The probe is a second readout that does. This is the subject of the foundation papers: a readout answers a question exactly when the answer is the same for every source that gives that readout (target-relative necessity), and the least addition that restores a lost distinction can be constructed (canonical completion).
    • A trace follows one observable from the plate back along the bench, through the entries it depends on. Many source structures can stand behind one mark, so a trace shows dependence and stops short of naming a single source (non-equivalence).

    Three views

    Instrument is the whole bench. The other two look at the readout plate and draw on its glass. Boundary treats the rim as boundary data and the interior as what those readings reach, following the gravity papers. History draws a small physical history with a listener inside it, and shows what the listener holds at one occasion.

    How literally to take it

    The order of the stages is an order of explanation. The source is not an earlier moment, nothing travels down the bench in time, and the theory does not say reality is made of optics. Time belongs to the readout, which is why the History view is drawn on the plate. The marks on the plate are drawn from the Atlas’s own list of sectors; their positions and brightness are composition. Which marks are pairs is chosen for the demonstration.

    Every entry carries its status: proved, conditional, construction, measured, interpretation, open or historical. The Atlas claims what its sources claim, entry by entry.

    View · Boundary

    Reading the boundary

    The rim of the plate stands for boundary data. The glass inside it stands for what those readings can tell you about the interior.

    In holography a region of the boundary comes with a region of the interior: a boundary ball selects a wedge, closed off by an extremal surface. The gravity papers treat the ball's area and energy variations as two readouts of one common source and ask exactly what they settle.

    Choose a stretch of the rim. Every ball inside it contributes a reading, and together they reach the union of their half-balls, drawn as the lit part of the glass. Inside it the local constraint is recovered. Outside it these readings say nothing, so every configuration there remains compatible with them.

    One frame, first order
    Rest-frame balls on one slice recover the slice constraint where they reach. Two kinds of feature pass through every one of them unread. What fixed-slice balls miss
    More frames
    Balls in further frames couple to components the rest-frame family cannot see. This is an extra reading, in the sense of the second probe. Recovering the local equation
    Second order
    Nothing about the balls has changed. Carried to second order, each one registers the on-shell mode: its canonical energy is positive at every radius. That detects the mode; it does not map it. The same-ball detection theorem

    Widening the region changes where the balls sit. Adding frames adds readings. Going to second order keeps the readings and changes the order of the response. The iris on the instrument is a fourth thing again: how finely one readout resolves. None of these is simply a sharper image.

    The disc is a schematic. The published results are first- and second-order statements about perturbations of anti-de Sitter space. They recover a local equation on a region, which is less than reconstructing the geometry, and the entropy reading of the second-order result adds a holographic dictionary and an admissible family of states.

    Research under way asks how far this reaches: what the readings of a single ball determine about a localized perturbation, and what they leave open. The view is built so that a further set of readings can be added when that work is published.

    Open the Boundary view on the plate ↑

    View · History

    A history, from inside

    Time belongs on the plate. A physical history lies on the readout side, and an observer is an organization within it.

    The bench runs from source to readout in order of dependence. That order is explanatory. The source is not an earlier moment, and nothing has to travel down the bench for the world to exist.

    The diagram is a small history. A source sounds three notes, and each reaches a listener a little later. All of it is on the plate together, every event at its own place and time. The marker picks one occasion on the listener's path and shows what is held there: what has been received, what is retained, and what is live.

    5 ms · Before C arrives
    C has sounded at the source and is on its way. The listener holds none of the phrase.
    12 ms · C arrives
    C is live. Nothing is retained yet for it to follow.
    111 ms · E arrives
    E arrives while C is retained. Both are available; their relation has not yet been taken up.
    115 ms · E is taken up
    The retained C and the live E enter one stream and are taken up as a rising step. G has not arrived, and nothing waits for it. The dashed line is anticipation: a present expectation, not a signal from later in the history.
    215 ms · G is taken up
    G is received and taken up. The phrase is kept, and the live part passes from E to G.

    Hearing a melody takes more than notes arriving one after another. Retained and live contributions have to be held together, in their different roles, for a step from one note to the next to be experienced. Switch retention off to see the difference between a succession of states and an experience of succession.

    The listener's stages really differ in what they receive, retain and can do, and those differences belong to the history. No universal present has to sweep across the plate to produce them.

    The block-universe reading is an interpretation argued in the papers, and the account of experienced passage is a philosophical argument. The timings are the papers' own illustration of a schedule, not a measured window of human hearing. Quantum alternatives may need a process or branch-relative account in place of one classical history.

    Open the History view on the plate ↑

    Index

    Every entry, by stage

    108 entries and 176 connections. Each entry states what kind of claim it makes. Choose one to open it in the instrument, or follow its link to the full text.

    Show

    The whole instrument

    Shadow Theory holds that the physical world is a realized readout of a source structure. The Atlas draws that claim as one instrument.

    The whole model

    Foundation · the seven papers

    Ω · Source

    The formation package: the structure everything downstream is formed from.

    Source

    Tier 0 · Law

    Everything the source generates from its own witnesses, and nothing brought in from outside.

    Law

    Tier 0.5 · Aperture

    Where realization is routed: what is reduced, what stays visible, what is completed.

    Operations and routes

    Faces

    Canonical field

    One carrier with two linked responses, coherent and dissipative.

    The canonical field

    Spectral carriers · papers

    Tier 1 · Readout

    The physical world as it is read out: sectors, observables, records, and the observers within them.

    Sectors

    Quantum measurement

    Gravity and holography · papers

    Perspective and experience

    Readers and access

    Observables

    Recovery limits

    Certified numerics

    Status

    What each status means

    Proved15
    A mathematical result with a published proof. It holds under the hypotheses stated in the paper.
    Conditional21
    Follows once stated premises, constitutive laws or gates are supplied; the entry lists them.
    Construction49
    An explicit model, witness or typed architecture. It establishes that something of the kind can be built.
    Measured2
    A computed or measured result, with its controls and limits recorded.
    Interpretation13
    A philosophical or organizing account. It guides the programme and says where the theorems are meant to apply.
    Open6
    A stated target or gate that has yet to be met.
    Historical2
    An earlier stage, kept for the record and superseded by current work.

    The complete model

    One whole. Differentiated from within.

    Shadow Theory places source and readout within a larger account: unconditioned ground, unsplit unity, complementary aspects, and their recursive differentiation. This is an order of explanatory dependence; it does not require an external clock before time has a physical realization.

    The broader account gives the framework its direction. The formal source–readout mathematics specifies what particular readouts preserve, lose and allow an observer to recover.

    Read the beginning-to-end account →