Cover of Phase Differential Theory by Graham Fincham

The book

Phase Differential Theory

A Relational Framework for Quantum Mechanics, Gravity and Cosmology

Graham Fincham

What persists, what changes, and what becomes real.

What allows something to persist, and what makes an event happen? In Phase Differential Theory, Graham Fincham develops a proposed account of physical reality centred on relational phase. Across 72 chapters in nine parts, the book explores quantum measurement, matter, inertia, gravity and cosmology, connecting its philosophical starting point with mathematical arguments and conditions that can be examined and tested.

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Contents

Nine parts, seventy-two chapters.

Part I

The failure of state based physics

  1. 01 Prediction without understanding
  2. 02 The measurement problem is not a detail
  3. 03 What phase is
  4. 04 The argument that froze physics
  5. 05 The misplaced primitive
  6. 06 What Φ is and is not
  7. 07 The phase differential equation

Part II

Phase as the primitive of reality

  1. 08 Phase snap and the foundational axioms of PDT
  2. 09 Mathematical status of Phase Differential Theory
  3. 10 Units dimensions and phase calibration
  4. 11 Phase snap and the replacement for collapse
  5. 12 Why phase snap appears random
  6. 13 Measurement without observers

Part III

Fundamental constraints

  1. 14 Phase energy and action
  2. 15 Time without flow
  3. 16 Entropy as phase diffusion
  4. 17 Locality causality and phase constraint
  5. 18 Distance is not fundamental
  6. 19 Unified speed limits and phase transport
  7. 20 Classical reality as dense phase snap

Part IV

Quantum mechanics rebuilt

  1. 21 Schrödinger rewritten
  2. 22 Dirac spin and phase orientation
  3. 23 Entanglement is shared phase
  4. 24 PDT and hidden variables
  5. 25 Nonlocal correlation and causal influence
  6. 26 Interference superposition and phase persistence
  7. 27 Measurement outcomes as boundary conditions
  8. 28 Quantum statistics without fundamental probability
  9. 29 From strings to phase
  10. 30 Wave particle duality revisited
  11. 31 Testing the limits of quantum mechanics

Part V

Time gravity and inertia

  1. 32 What remains of time
  2. 33 Gravity as phase curvature
  3. 34 What string theory suggests about gravity
  4. 35 Decoherence as pre snap dynamics
  5. 36 Inertia as phase trajectory resistance
  6. 37 Recovering the equivalence principle

Part VI

Canonical physical manifestations

  1. 38 Phase snap as a physical event
  2. 39 Phase drift
  3. 40 Phase shear
  4. 41 Phase locking
  5. 42 Phase echo and memory
  6. 43 Phase inversion and anti flip
  7. 44 Phase pinning rupture and saturation
  8. 45 Phase vacuum
  9. 46 Failure breakdown and abrupt catastrophe
  10. 47 Classical reality as repeated resolution
  11. 48 Engineering with phase

Part VII

Life computation and prediction

  1. 49 Life as managed phase snap
  2. 50 Intelligence memory and anti flip
  3. 51 Phase snap in computation
  4. 52 Engineering and the primacy of coherence
  5. 53 Prediction engines and snap avoidance
  6. 54 Energy heat and snap
  7. 55 Why prediction has limits

Part VIII

Cosmology and large scale structure

  1. 56 The Big Bang as a universal phase snap
  2. 57 Inflation structure and phase lock in
  3. 58 Antimatter as phase inverted matter
  4. 59 Cosmic structure and the question of fine tuning
  5. 60 Dark matter as phase locked mass with restricted interaction channels
  6. 61 Black holes as phase locked sinks
  7. 62 Information conservation and accessible records
  8. 63 The fine structure constant as a structural question
  9. 64 Dark energy as residual global phase drift
  10. 65 Consistency with established physics
  11. 66 The observable universe as a resolved domain

Part IX

Consistency limits and risk

  1. 67 What Phase Differential Theory does not claim
  2. 68 How to falsify Phase Differential Theory
  3. 69 Why alternative interpretations persist
  4. 70 Limits of explanation and prediction
  5. 71 Open problems and experimental access
  6. 72 Completion without closure

Technical reference

The book is written for general readers. The current foundations are the technical reference, and the earlier papers record how the work developed. The book presents proposals, mathematical results and questions for experiment as distinct things; it does not claim experimental confirmation.